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G  CPLEX Parameters Interface

G.1  Setting CPLEX Parameters in Matlab

The behavior of the CPLEX solver is controlled by means of a large number of parameters. It is possible to set all of these parameters from Matlab.

If using the cplexTL interface for solving problems defined in a TOMLAB Prob structure, the field Prob.MIP.cpxControl is used to set values for parameters. The user needs to set only those parameters that he/she wants to change.

The non-TOMLAB format cplex.m.m interface has a corresponding input parameter, cpxControl.

All CPLEX parameters have names CPX_PARAM_xxx, where xxx is the unique parameter identifier. When setting parameter values in the cpxControl structure, this prefix should be omitted. For example, to set the iterations for the dual simplex optimizer do:
>> cpxControl.ITLIM = 1000;
>> cpxControl.LPMETHOD = 2;
The complete list of CPLEX parameters are given in Table G.2.

G.2  The CPLEX Parameter Table

TOMLAB parameter Value
 
cpxControl.ADVIND 0 Off: do not use advanced start information
1 On: CPLEX will use an advanced basis supplied by the user
2 On: CPLEX will crush an advanced basis or starting vector supplied by the user

Default: 0
Description: An indicator which, if set to 1 or 2, uses advanced starting information when optimization is initiated. Setting 2 may be effective for MIPs in which the percentage of integer constraints is low. It may also reduce the solution time of fixed MIPs.
cpxControl.AGGCUTLIM Any non-negative integer.

Default: 3
Description: Constraint aggregation limit for cut generation. Limits the number of constraints that can be aggregated for generating flow cover and mixed integer rounding cuts
cpxControl.AGGFILL Any non-negative integer

Default: 10
Description: Preprocessing aggregator fill. Limits variable substitutions by the aggregator. If the net result of a single substitution is more nonzeros than this value, the substitution is not made.
cpxControl.AGGIND -1 Automatic (1 for LP, infinite for MIP)
0 Do not use any aggregator
Any positive integer

Default: -1
Description: Preprocessing aggregator application limit. Invokes the aggregator to use substitution where possible to reduce the number of rows and columns before the problem is solved. If set to a positive value, the aggregator is applied the specified number of times or until no more reductions are possible.
cpxControl.BARALG 0 Default setting
1 Infeasibility-estimate start
2 Infeasibility-constant start
3 Standard barrier

Default: 0
Description: Barrier algorithm.
The default setting 0 uses the "infeasibility - estimate start" algorithm (setting 1) when solving sub-problems in a Mixed Integer Programming problem, and the standard barrier algorithm (setting 3) in other cases. The standard barrier algorithm is almost always fastest. However, on problems that are primal or dual infeasible (common for Mixed Integer sub-problems), the standard algorithm may not work as well as the alternatives. The two alternative algorithms (settings 1 and 2) may eliminate numerical difficulties related to infeasibility, but are generally slower.
cpxControl.BARCOLNZ 0 Dynamically calculated or,
any positive integer

Default: 0
Description: Barrier column nonzeros.
Used in the recognition of dense columns. If columns in the presolved and aggregated problem exist with more entries than this value, such columns are considered dense and are treated specially by the CPLEX Barrier Optimizer to reduce their effect. If the problem contains fewer than 400 rows, dense column handling is NOT initiated.
cpxControl.BARCROSSALG -1 No crossover
0 Automatic
1 Primal crossover
2 Dual crossover

Default: 0
Description: Barrier crossover method.
Determines which, if any, crossover method is performed at the end of a Barrier optimization.
cpxControl.BARDISPLAY 0 No progress information
1 Normal setup and iteration information
2 Diagnostic information

Default: 1
Description: Barrier display information.
Determines the level of barrier information to be displayed.
cpxControl.BAREPCOMP Any positive number ≥ 10−12

Default: 10−8
Description: Convergence tolerance for LP and QP problems.
For problems with quadratic constraints (QCP), see BARQCPEPCOMP. Sets the tolerance on complementarity for convergence. The barrier algorithm terminates with an optimal solution if the relative complementarity is smaller than this value. Changing this tolerance to a smaller value may result in greater numerical precision of the solution, but also increases the chance of a convergence failure in the algorithm and consequently may result in no solution at all. Therefore, caution is advised in deviating from the default setting.
cpxControl.BARGROWTH 1.0 or greater.

Default: 108
Description: Barrier growth.
Used to detect unbounded optimal faces. At higher values, the barrier algorithm is less likely to conclude that the problem has an unbounded optimal face, but more likely to have numerical difficulties if the problem has an unbounded face.
cpxControl.BARITLIM 0 No Barrier iterations
or, any positive integer

Default: Large (varies by computer)
Description: Barrier iteration limit.
Sets the number of Barrier iterations before termination. When set to 0, no Barrier iterations occur, but problem "setup" occurs and information about the setup is displayed (such as Cholesky factorization information).
cpxControl.BARMAXCOR -1 Automatically determined
0 None
or, any positive integer

Default: -1
Description: Barrier maximum correction limit.
Sets the maximum number of centering corrections done on each iteration. An explicit value greater than 0 may improve the numerical performance of the algorithm at the expense of computation time.
cpxControl.BAROBJRNG Any positive number

Default: 1020
Description: Barrier objective range.
Sets the maximum absolute value of the objective function. The barrier algorithm looks at this limit to detect unbounded problems.
cpxControl.BARORDER 0 Automatic
1 Approximate minimum degree (AMD)
2 Approximate minimum fill (AMF)
3 Nested dissection (ND)

Default: 0 values
Description: Barrier ordering algorithm.
Sets the algorithm to be used to permute the rows of the constraint matrix in order to reduce fill in the Cholesky factor.
cpxControl.BARQCPEPCOMP Any positive number ≥10−12

Default: 10−6
Description: Convergence tolerance for QCP problems. That is, for quadratically constrained problems. For LPs and for QPs (that is, when all the constraints are linear) see BAREPCOMP. Sets the tolerance on complementarity for convergence. The barrier algorithm terminates with an optimal solution if the relative complementarity is smaller than this value. Changing this tolerance to a smaller value may result in greater numerical precision of the solution, but also increases the chance of a convergence failure in the algorithm and consequently may result in no solution at all. Therefore, caution is advised in deviating from the default setting.
cpxControl.BARSTARTALG 1 Dual is 0
2 Estimate dual
3 Average of primal estimate, dual 0
4 Average of primal estimate, estimate dual

Default: 1
Description: Barrier starting point algorithm.
Sets the algorithm to be used to compute the initial starting point for the barrier optimizer.
cpxControl.BARTHREADS 0 Determined by global thread default
>0 Upper limit on threads for Parallel Barrier

Default: 0
Description: Barrier thread limit.
Determines the maximum number of parallel processes (threads) that will be invoked by the parallel barrier optimizer. The default value of 0 means that the limit will be determined by the value of THREADS, the global thread limit parameter. A positive value will override the value found in THREADS.
cpxControl.BBINTERVAL 0 Best estimate node always selected
or, any positive integer

Default: 7
Description: MIP strategy bbinterval.
When using nodeselect 2, the bbinterval is the interval at which the best bound node, instead of the best estimate node, is selected from the tree. A bbinterval of 0 means to never select the best bound node. A bbinterval of 1 means to always select the best bound node, and is thus equivalent to nodeselect 1. Higher values of bbinterval mean that the best bound node will be selected less frequently; experience has shown it to be beneficial to occasionally select the best bound node, and therefore the default bbinterval is 7.
cpxControl.BNDSTRENIND -1 Automatically determined
0 Do not apply bound strengthening
1 Apply bound strengthening

Default: -1
Description: Bound strengthening indicator.
Used when solving mixed integer programs. Bound strengthening tightens the bounds on variables, perhaps to the point where the variable can be fixed and thus removed from consideration during branch & cut. This reduction is usually beneficial, but occasionally, due to its iterative nature, takes a long time.
cpxControl.BRDIR -1 Down branch selected first
0 Automatically determined
1 Up branch selected first

Default: 0
Description: MIP branching direction.
Used to decide which branch, the up or the down branch, should be taken first at each node.
cpxControl.BTTOL Any number from 0.0 to 1.0

Default: 0.9999
Description: Backtracking tolerance.
Controls how often backtracking is done during the branching process. The decision when to backtrack depends on three values that change during the course of the optimization:
- the objective function value of the best integer feasible solution ("incumbent")
- the best remaining objective function value of any unexplored node ("best node")
- the objective function value of the most recently solved node ("current objective").
If a cutoff tolerance (see CUTUP and CUTLO) has been set by the user then that value is used as the incumbent until an integer feasible solution is found. The "target gap" is defined to be the absolute value of the difference between the incumbent and the best node, multiplied by this backtracking parameter. CPLEX does not backtrack until the absolute value of the difference between the current objective and the best node is at least as large as the target gap. Low values of this backtracking parameter thus tend to increase the amount of backtracking, which makes the search process more of a pure best-bound search. Higher parameter values tend to decrease backtracking, making the search more of a pure depth-first search. The backtracking value has effect only after an integer feasible solution is found or when a cutoff has been specified. Note that this backtracking value merely permits backtracking but does not force it; CPLEX may choose to continue searching a limb of the tree if it seems a promising candidate for finding an integer feasible solution.
cpxControl.CLIQUES -1 Do not generate clique cuts
0 Automatically determined
1 Generate clique cuts moderately
2 Generate clique cuts aggressively

Default: 0
Description: MIP cliques indicator.
Determines whether or not clique cuts should be generated for the problem. Setting the value to 0, the default, indicates that the attempt to generate cliques should continue only if it seems to be helping.
cpxControl.CLOCKTYPE 1 CPU time
2 Wall clock time (total physical time elapsed)

Default: 1
Description: Computation time reporting.
Determines how computation times are measured.
cpxControl.COEREDIND 0 Do not use coefficient reduction
1 Reduce only to integral coefficients
2 Reduce all potential coefficients

Default: 2
Description: Coefficient reduction setting.
Determines how coefficient reduction is used. Coefficient reduction improves the objective value of the initial (and subsequent) LP relaxations solved during branch & cut by reducing the number of non-integral vertices.
cpxControl.COLREADLIM Any integer from 0 to 268 435 450

Default: Varies by computer.
Description: Variable (column) read limit.
Sets the number of variables that can be read.
cpxControl.COVERS -1 Do not generate cover cuts
0 Automatically determined
1 Generate cover cuts moderately
2 Generate cover cuts aggressively
3 Generate cover cuts very aggressively

Default: 0
Description: MIP covers indicator.
Determines whether or not cover cuts should be generated for the problem. Setting the value to 0, the default, indicates that the attempt to generate covers should continue only if it seems to be helping.
cpxControl.CRAIND LP Primal:
0 Ignore objective coefficients during crash
-1 or 1 Alternate ways of using objective coefficients
LP Dual:
1 Default starting basis
0 or -1 Aggressive starting basis
QP Primal:
-1 Slack basis
0 Ignore Q terms and use LP solver for crash
1 Ignore objective and use LP solver for crash
QP Dual:
-1 Slack basis
0 or 1 Use Q terms for crash
Description: Simplex crash ordering.
Determines how CPLEX orders variables relative to the objective function when selecting an initial basis.
cpxControl.CUTLO Any number

Default: −1075
Description: Lower cutoff.
When the problem is a maximization problem, the LOWERCUTOFF parameter is used to cut off any nodes that have an objective value below the lower cutoff value. On a continued mixed integer optimization, the larger of these values and the updated cutoff found during optimization are used during the next mixed integer optimization. A too-restrictive value for the LOWERCUTOFF parameter may result in no integer solutions being found.
cpxControl.CUTPASS -1 None
0 Automatically determined
Positive values give number of passes to perform

Default: 0
Description: Number of cutting plane passes.
Sets the upper limit on the number of passes CPLEX performs when generating cutting planes on a MIP model.
cpxControl.CUTSFACTOR Any non-negative number.

Default: 4.0
Description: Row multiplier factor for cuts.
Limits the number of cuts that can be added. The number of rows in the problem with cuts added is limited to CUTSFACTOR times the original number of rows. If the problem is presolved, the original number of rows is that from the presolved problem.
A CUTSFACTOR of 1.0 or less means that no cuts will be generated. Because cuts can be added and removed during the course of optimization, CUTSFACTOR may not correspond directly to the number of cuts seen during the node log or in the summary table at the end of optimization.
cpxControl.CUTUP Any number.

Default: 1075.
Description: Upper cutoff.
Cuts off any nodes that have an objective value above the upper cutoff value, when the problem is a minimization problem. When a mixed integer optimization problem is continued, the smaller of these values and the updated cutoff found during optimization are used during the next mixed integer optimization. A too-restrictive value for the UPPERCUTOFF parameter may result in no integer solutions being found.
cpxControl.DATACHECK 0 Off (do not check)
1 On (check)

Default: 0
Description: Data consistency checking indicator.
When set to 1 (On), extensive checking is performed on data in the array arguments, such as checking that indices are within range, that there are no duplicate entries and that values are valid for the type of data or are valid numbers. This is useful for debugging applications.
cpxControl.DEPIND 0 Off (do not use dependency checker)
1 On (use dependency checker)

Default: 0
Description: Dependency indicator.
Determines whether to activate the "dependency checker". If on, the dependency checker searches for dependent rows during preprocessing. If off, dependent rows are not identified.
cpxControl.DISJCUTS -1 Do not generate disjunctive cuts
0 Automatically determined
1 Generate disjunctive cuts moderately
2 Generate disjunctive cuts aggressively
3 Generate disjunctive cuts very aggressively

Default: 0
Description: MIP disjunctive cuts indicator.
Determines whether or not disjunctive cuts should be generated for the problem. Setting the value to 0, the default, indicates that the attempt to generate disjunctive cuts should continue only if it seems to be helping.
cpxControl.DIVETYPE 0 automatic
1 traditional dive
2 probing dive
3 guided dive

Default: 0
Description: MIP dive strategy.
The MIP traversal strategy occasionally performs probing dives, where it looks ahead at both children nodes before deciding which node to choose. The default (automatic) setting lets CPLEX choose when to perform a probing dive, 1 directs CPLEX never to perform probing dives, 2 always to probe, 3 spend more time exploring potential solutions that are similar to the current incumbent. Setting 2, always to probe, is helpful for finding integer solutions.
cpxControl.DPRIIND 0 Determined automatically
1 Standard dual pricing
2 Steepest-edge pricing
3 Steepest-edge pricing in slack space
4 Steepest-edge pricing, unit initial norms
5 Devex pricing

Default: 0
Description: Dual simplex pricing algorithm.
The default pricing (0) usually provides the fastest solution time, but many problems benefit from alternate settings.
cpxControl.EPAGAP Any non-negative number.

Default: 10−6.
Description: Absolute mipgap tolerance.
Sets an absolute tolerance on the gap between the best integer objective and the objective of the best node remaining. When this difference falls below the value of the ABSMIPGAP parameter, the mixed integer optimization is stopped.
cpxControl.EPGAP Any number from 0.0 to 1.0

Default: 10−4
Description: Relative mipgap tolerance.
Sets a relative tolerance on the gap between the best integer objective and the objective of the best node remaining. When the value
|bestnodebestinteger|
10−10+|bestinteger|
falls below the value of the MIPGAP parameter, the mixed integer optimization is stopped. For example, to instruct CPLEX to stop as soon as it has found a feasible integer solution proved to be within five percent of optimal, set the relative mipgap tolerance to 0.05.
cpxControl.EPINT Any number from 10−9 to 1.0.

Default: 10−5
Description: Integrality tolerance.
Specifies the amount by which an integer variable can be different from an integer and still be considered feasible.
cpxControl.EPMRK Any number from 0.0001 to 0.99999

Default: 0.01
Description: Markowitz tolerance.
Influences pivot selection during basis factorization. Increasing the Markowitz threshold may improve the numerical properties of the solution.
cpxControl.EPOPT Any number from 10−9 to 10−1

Default: 10−6
Description: Optimality tolerance.
Influences the reduced-cost tolerance for optimality. This parameter governs how closely CPLEX must approach the theoretically optimal solution.
cpxControl.EPPER Any positive number ≥ 10−8

Default: 10−6
Description: Perturbation constant.
Sets the amount by which CPLEX perturbs the upper and lower bounds on the variables when a problem is perturbed. This parameter can be set to a smaller value if the default value creates too large a change in the problem.
cpxControl.EPRELAX Any positive number

Default: 10−6
Description: FeasOpt tolerance.
Sets epsilon used to measure relaxation in FeasOpt.
cpxControl.EPRHS Any number from 10−9 to 10−1

Default: 10−6
Description: Feasibility tolerance.
The feasibility tolerance specifies the degree to which a problem's basic variables may violate their bounds. FEASIBILITY influences the selection of an optimal basis and can be reset to a higher value when a problem is having difficulty maintaining feasibility during optimization. You may also wish to lower this tolerance after finding an optimal solution if there is any doubt that the solution is truly optimal. If the feasibility tolerance is set too low, CPLEX may falsely conclude that a problem is infeasible. If you encounter reports of infeasibility during Phase II of the optimization, a small adjustment in the feasibility tolerance may improve performance.
cpxControl.FEASOPTMODE 0 Minimize the sum of all required relaxations in first phase only
1 Minimize the sum of all required relaxations in first phase and execute second phase to find optimum among minimal relaxations
2 Minimize the number of constraints and bounds requiring relaxation in first phase only
3 Minimize the number of constraints and bounds requiring relaxation in first phase and execute second phase to find optimum among minimal relaxations
4 Minimize the sum of squares of required relaxations in first phase only
5 Minimize the sum of squares of required relaxations in first phase and execute second phase to find optimum among minimal relaxations

Default: 0
Description: FeasOpt settings.
FeasOpt works in two phases. In its first phase, it attempts to minimize its relaxation of the infeasible model. That is, it attempts to find a feasible solution that requires minimal change. In its second phase, it finds an optimal solution among those that require only as much relaxation as it found necessary in the first phase.
cpxControl.FLOWCOVERS -1 Do not generate flow cover cuts
0 Automatically determined
1 Generate flow cover cuts moderately
2 Generate flow cover cuts aggressively

Default: 0
Description: MIP flow cover cuts indicator.
Determines whether or not to generate flow cover cuts for the problem. Setting the value to 0, the default, indicates that the attempt to generate flow cover cuts should continue only if it seems to be helping.
cpxControl.FLOWPATHS -1 Do not generate flow path cuts
0 Automatically determined
1 Generate flow path cuts moderately
2 Generate flow path cuts aggressively

Default: 0
Description: MIP flow path cut indicator.
Determines whether or not flow path cuts should be generated for the problem. Setting the value to 0, the default, indicates that the attempt to generate flow path cuts should continue only if it seems to be helping.
cpxControl.FRACCAND Any positive integer.

Default: 200
Description: Candidate limit for generating Gomory fractional cuts.
Limits the number of candidate variables for generating Gomory fractional cuts.
cpxControl.FRACCUTS -1 Do not generate Gomory fractional cuts
0 Automatically determined
1 Generate Gomory fractional cuts moderately
2 Generate Gomory fractional cuts aggressively

Default: 0
Description: MIP Gomory fractional cuts indicator.
Determines whether or not Gomory fractional cuts should be generated for the problem. Setting the value to 0, the default, indicates that the attempt to generate Gomory fractional cuts should continue only if it seems to be helping.
cpxControl.FRACPASS 0 Automatic
or, any positive integer

Default: 0
Description: Pass limit for generating Gomory fractional cuts.
Limits the number of passes for generating Gomory fractional cuts. At the default setting of 0, CPLEX decides. The parameter is ignored if the Gomory fractional cut parameter, FRACCUTS, is set to a nonzero value.
cpxControl.GUBCOVERS -1 Do not generate GUB cuts
0 Automatically determined
1 Generate GUB cuts moderately
2 Generate GUB cuts aggressively

Default: 0
Description: MIP GUB cuts indicator.
Determines whether or not to generate GUB cuts for the problem. Setting the value to 0, the default, indicates that the attempt to generate GUB cuts should continue only if it seems to be helping.
cpxControl.HEURFREQ -1 None
0 Automatic
or, any positive integer

Default: 0
Description: MIP heuristic frequency.
Determines how often to apply the periodic heuristic. Setting the value to -1 turns off the periodic heuristic. Setting the value to 0, the default, applies the periodic heuristic at an interval chosen automatically. Setting the value to a positive number applies the heuristic at the requested node interval. For example, setting HEURISTICFREQ to 20 dictates that the heuristic be called at node 0, 20, 40, 60, etc.
cpxControl.IMPLBD -1 Do not generate implied bound cuts
0 Automatically determined
1 Generate implied bound cuts moderately
2 Generate implied bound cuts aggressively

Default: 0
Description: MIP implied bound cuts indicator.
Determines whether or not to generate implied bound cuts for the problem. Setting the value to 0, the default, indicates that the attempt to generate implied bound cuts should continue only if it seems to be helping.
cpxControl.INTSOLLIM Any positive integer

Default: Large (varies by computer)
Description: MIP solution limit.
Set the number of MIP solutions to be found before stopping.
cpxControl.ITLIM Any non-negative integer.

Default: Large (varies by computer)
Description: Simplex maximum iteration limit.
Sets the maximum number of iterations to be performed before the algorithm terminates without reaching optimality.
cpxControl.LBHEUR 0 Off
1 On

Default: 0
Description: Local branching heuristic.
This parameter lets you control whether CPLEX applies a local branching heuristic to try to improve new incumbents found during a MIP search. By default, this parameter is false; that is, it is off by default. If you turn it on, CPLEX will invoke a local branching heuristic only when it finds a new incumbent. If CPLEX finds multiple incumbents at a single node, the local branching heuristic will be applied only to the last one found.
cpxControl.LPMETHOD 0 Automatic
1 Primal Simplex
2 Dual Simplex
3 Network Simplex
4 Barrier
5 Sifting
6 Concurrent Dual, Barrier and Primal

Default: 0
Description: Method for linear optimization.
Determines which algorithm is used. Currently, the behavior of the Automatic setting is that CPLEX almost always invokes the dual simplex method. The one exception is when solving the relaxation of an MILP model when multiple threads have been requested. In this case, the Automatic setting will use the concurrent optimization method. The Automatic setting may be expanded in the future so that CPLEX chooses the method based on additional problem characteristics.
cpxControl.MEMORYEMPHASIS 0 Off: Do not emphasize conservation of memory
1 On: Emphasize conservation of memory

Default: Off
Description: Memory setting.
Some information (that require a basis) may be unavailable when using this parameter.
cpxControl.MIPDISPLAY 0 No display
1 Display integer feasible solutions
2 Display nodes under MIPINTERVAL
3 Same as 2 with information on node cuts
4 Same as 3 with LP subproblem information at root
5 Same as 4 with LP subproblem information at nodes

Default: 2
Description: MIP node log display information.
Determines what CPLEX reports to the screen during mixed integer optimization. The amount of information displayed increases with increasing values of this parameter.
A setting of 0 causes no node log to be displayed until the optimal solution is found. A setting of 1 displays an entry for each integer feasible solution found. Each entry contains the objective function value, the node count, the number of unexplored nodes in the tree, and the current optimality gap. A setting of 2 also generates an entry for every nth node (where n is the setting of the MIP INTERVAL parameter). A setting of 3 additionally generates an entry for every nth node giving the number of cuts added to the problem for the previous INTERVAL nodes. A setting of 4 additionally generates entries for the LP root relaxation according to the SIMDISPLAY setting. A setting of 5 additionally generates entries for the LP subproblems, also according to the SIMDISPLAY setting.
cpxControl.MIPEMPHASIS 0 [BALANCED] Balance optimality and feasibility
1 [FEASIBILITY] Emphasize feasibility over optimality
2 [OPTIMALITY] Emphasize optimality over feasibility
3 [BESTBOUND] Emphasize moving best bound
4 [HIDDENFEAS] Emphasize hidden feasibility

Default: 0
Description: MIP emphasis indicator.
With the default setting of BALANCED, CPLEX works toward a rapid proof of an optimal solution, but balances that with effort toward finding high quality feasible solutions early in the optimization. When set to FEASIBILITY, CPLEX frequently will generate more feasible solutions as it optimizes the problem, at some sacrifice in the speed to the proof of optimality. When set to OPTIMALITY, less effort may be applied to finding feasible solutions early. With the setting BESTBOUND, even greater emphasis is placed on proving optimality through moving the best bound value, so that the detection of feasible solutions along the way becomes almost incidental. When set to HIDDENFEAS, the MIP optimizer works hard to find high quality feasible solutions that are otherwise very difficult to find, so consider this setting when the FEASIBILITY emphasis has difficulty finding solutions of acceptable quality.
cpxControl.MIPINTERVAL Any positive integer

Default: 100
Description: MIP node log interval
Controls the frequency of node logging when MIPDISPLAY is set higher than 1.
cpxControl.MIPORDIND 0 Off (do not use order information)
1 On (use order information if it exists)

Default: 1
Description: MIP priority order indicator.
When set to on, uses the priority order (if it exists) for the next mixed integer optimization.
cpxControl.MIPORDTYPE 0 Do not generate a priority order
1 Use decreasing cost
2 Use increasing bound range
3 Use increasing cost per coefficient count

Default: 0
Description: MIP priority order generation.
Used to select the type of generic priority order to generate when no priority order is present.
cpxControl.MIPTHREADS 0 determined by global thread default
>0 upper limit on threads for Parallel MIP

Default: 0
Description: MIP thread limit
Determines the maximum number of parallel processes (threads) that will be invoked by the Parallel MIP optimizer. The default value of 0 means that the limit will be determined by the value of THREADS the global thread limit parameter. A positive value will override the value found in THREADS.
cpxControl.MIRCUTS -1 Do not generate MIR cuts
0 Automatically determined
1 Generate MIR cuts moderately
2 Generate MIR cuts aggressively

Default: 0
Description: MIP MIR (mixed integer rounding) cut indicator.
Determines whether or not to generate MIR cuts for the problem. Setting the value to 0, the default, indicates that the attempt to generate MIR cuts should continue only if it seems to be helping.
cpxControl.MPSLONGNUM 0: Write file in standard MPS format
1 Write with full precision (up to 15 digits)

Default: 1
Description: Degree of precision displayed in output files (MPS).
When this parameter is set to its default value 1 (one), numbers are written to MPS files in full-precision; that is, up to 15 significant digits may be written. The setting 0 (zero) writes files that correspond to the standard MPS format, where at most 12 characters can be used to represent a value. This limit may result in loss of precision.
cpxControl.NETDISPLAY 0 No display
1 Display true objective values
2 Display penalized objective values

Default: 2
Description: Network logging display indicator.
Settings 1 and 2 differ only during Phase I. Setting 2 shows monotonic values, whereas 1 usually does not.
cpxControl.NETEPOPT Any number from 10−11 to 10−1

Default: 10−6
Description: Optimality tolerance for the network optimizer.
The optimality tolerance specifies the amount a reduced cost may violate the criterion for an optimal solution.
cpxControl.NETEPRHS Any number from 10−11 to 10−1

Default: 10−6
Description: Feasibility tolerance for the network optimizer.
The feasibility tolerance specifies the degree to which a problem's flow value may violate its bounds. This tolerance influences the selection of an optimal basis and can be reset to a higher value when a problem is having difficulty maintaining feasibility during optimization. You may also wish to lower this tolerance after finding an optimal solution if there is any doubt that the solution is truly optimal. If the feasibility tolerance is set too low, CPLEX may falsely conclude that a problem is infeasible. If you encounter reports of infeasibility during Phase II of the optimization, a small adjustment in the feasibility tolerance may improve performance.
cpxControl.NETFIND 1 Extract pure network only
2 Try reflection scaling
3 Try general scaling

Default: 2 values
Description: Simplex network extraction level.
Establishes the level of network extraction for network simplex optimizations. The default value is suitable for recognizing commonly used modeling approaches when representing a network problem within an LP formulation.
cpxControl.NETITLIM Any non-negative integer

Default: Large (varies by computer)
Description: Network Simplex iteration limit.
Sets the maximum number of iterations to be performed before the algorithm terminates without reaching optimality.
cpxControl.NETPPRIIND 0 Automatic
1 Partial pricing
2 Multiple partial pricing
3 Multiple partial pricing with sorting

Default: 0
Description: Network Simplex pricing algorithm.
The default (0) shows best performance for most problems, and currently is equivalent to 3.
cpxControl.NODEFILEIND 0 No node file
1 Node file in memory and compressed
2 Node file on disk
3 Node file on disk and compressed

Default: 1
Description: Node storage file indicator.
Used when working memory, WORKMEM, has been exceeded by the size of the tree. If the node file parameter is set to zero when the tree memory limit is reached, optimization is terminated. Otherwise, a group of nodes is removed from the in-memory set as needed. By default, CPLEX transfers nodes to node files when the in-memory set is larger than 128 MBytes, and it keeps the resulting node `files' in compressed form in memory. At settings 2 and 3, the node files are transferred to disk, in compressed and uncompressed form respectively, into a directory named by the WORKDIR parameter, and CPLEX actively manages which nodes remain in memory for processing. The use of node files is described in more detail in the CPLEX User's Manual.
cpxControl.NODELIM Any non-negative integer

Default: Large (varies by computer)
Description: MIP node limit.
Sets the maximum number of nodes solved before the algorithm terminates, without reaching optimality.
cpxControl.NODESEL 0 Depth-first search
1 Best-bound search
2 Best-estimate search
3 Alternative best-estimate search

Default: 1
Description: MIP node selection strategy.
Used to set the rule for selecting the next node to process when backtracking. The depth-first search strategy chooses the most recently created node. The best-bound strategy chooses the node with the best objective function for the associated LP relaxation. The best-estimate strategy selects the node with the best estimate of the integer objective value that would be obtained from a node once all integer infeasibilities are removed. An alternative best-estimate search is also available.
cpxControl.NUMERICALEMPHASIS 0 Off: Do not emphasize extreme caution in computation
1 On: Emphasize extreme caution in computation

Default: Off
Description: Numerical emphasis.
cpxControl.NZREADLIM Any integer from 0 to 268 435 450

Default: 500
Description: Nonzero element read limit.
Sets the number of nonzeros that can be read.
cpxControl.OBJDIF Any number

Default: −1075
Description: Absolute objective difference cutoff.
Used to update the cutoff each time a mixed integer solution is found. This absolute value is subtracted from (added to) the newly found integer objective value when minimizing (maximizing). This forces the mixed integer optimization to ignore integer solutions that are not at least this amount better than the one found so far. The OBJDIFFERENCE parameter can be adjusted to improve problem solving efficiency by limiting the number of nodes; however, setting this parameter at a value other than zero (the default) can cause some integer solutions, including the true integer optimum, to be missed. Negative values for this parameter can result in some integer solutions that are worse than or the same as those previously generated, but does not necessarily result in the generation of all possible integer solutions.
cpxControl.OBJLLIM Any number

Default: −1075
Description: Lower objective value limit.
Setting a lower objective function limit causes CPLEX to halt the optimization process once the minimum objective function value limit has been exceeded. This limit applies only during Phase II of the simplex method.
cpxControl.OBJULIM Any number

Default: 1075
Description: Upper objective value limit.
Setting an upper objective function limit causes CPLEX to halt the optimization process once the maximum objective function value limit has been exceeded. This limit applies only during Phase II of the simplex method.
cpxControl.PERIND 0 Off
1 On

Default: 0
Description: Simplex perturbation indicator.
Setting this parameter to 1 causes all problems to be automatically perturbed as optimization begins. A setting of 0 allows CPLEX to determine dynamically, during solution, whether progress is slow enough to merit a perturbation. The situations in which a setting of 1 helps are rare and restricted to problems that exhibit extreme degeneracy.
cpxControl.PERLIM 0 Determined automatically
or, any positive integer

Default: 0
Description: Simplex perturbation limit.
Sets the number of stalled iterations before perturbation is performed.
cpxControl.POLISHTIME Any positive number in seconds

Default: 0
Description: Polishing best solution.
Regulates the amount of time spent on polishing the best solution found. During solution polishing, CPLEX applies its effort to improve the best feasible solution. Polishing can yield better solutions in some situations. The default value of the polishing time parameter is 0 (zero); that is, spend no time polishing.
cpxControl.PPRIIND -1 Reduced-cost pricing
0 Hybrid reduced-cost & devex pricing
1 Devex pricing
2 Steepest-edge pricing
3 Steepest-edge pricing with slack initial norms
4 Full pricing

Default: 0
Description: Primal Simplex pricing algorithm.
The default pricing (0) usually provides the fastest solution time, but many problems benefit from alternative settings
cpxControl.PREDUAL -1 Off
0 Automatic
1 On

Default: 0
Description: Presolve dual setting.
Determines whether CPLEX Presolve should pass the primal or dual linear programming problem to the linear programming optimization algorithm. By default, CPLEX chooses automatically. If the DUAL indicator is set to 1, the CPLEX presolve algorithm is applied to the primal problem, but the resulting dual linear program is passed to the optimizer. This is a useful technique for problems with more constraints than variables.
cpxControl.PREIND 0 Off (do not use presolve)
1 On (use presolve)

Default: 1
Description: Presolve indicator.
When set to 1, invokes the CPLEX Presolve to simplify and reduce problems.
cpxControl.PRELINEAR 0 Only linear reductions
1 Full reductions
Default: 1
Description: Linear reduction indicator.
If only linear reductions are performed, each variable in the original model can be expressed as a linear form of variables in the presolved model. This guarantees, for example, that users can add their own custom cuts to the presolved model.
cpxControl.PREPASS -1 Determined automatically
0 Do not use Presolve
or, any positive integer
Default: -1
Description: Limit on the number of Presolve passes made.
When set to a nonzero value, invokes the CPLEX Presolve to simplify and reduce problems. When set to a positive value, the Presolve is applied the specified number of times, or until no more reductions are possible. At the default value of -1, Presolve should continue only if it seems to be helping.
cpxControl.PRESLVND -1 No node presolve
0 Automatic
1 Force node presolve
2 Probes all integer-infeasible variables at each node to find those that can be fixed

Default: 0
Description: Node presolve selector.
Indicates whether node presolve should be performed at the nodes of a mixed integer programming solution. Node presolve can significantly reduce solution time for some models. The default setting is generally effective at determining whether to apply node presolve, although runtimes can be reduced for some models by turning node presolve off.
cpxControl.PRICELIM 0 Determined automatically
or, any positive integer

Default: 0 values
Description: Simplex pricing candidate list size.
Sets the maximum number of variables kept in the pricing candidate list.
cpxControl.PROBE -1 No probing
0 Automatic
1-3 Probing level

Default: 0
Description: MIP probe.
Determines the amount of probing on variables to be performed before MIP branching. Higher settings perform more probing. Probing can be very powerful but very time consuming at the start. Setting the parameter to values above the default of 0 (automatic) can result in dramatic reductions or dramatic increases in solution time, depending on the model.
cpxControl.PROBETIME Any positive number in seconds

Default: 1e75
Description: Amount of time spent on probing.
cpxControl.QPMAKEPSDIND 0 Off
1 On

Default: On
Description: Indefinite MIQP indicator.
Determines whether CPLEX will attempt to adjust a MIQP formulation, in which all the variables appearing in the quadratic term are binary. When this feature is active, adjustments will be made to the elements of a quadratic matrix that is not nominally positive semi-definite ("PSD", as required by CPLEX for all QP formulations), to make it PSD, and will also attempt to tighten an already PSD matrix for better numerical behavior. The default setting of 1 means "yes" but you can turn it off if necessary; most models should benefit from the default setting.
cpxControl.QPMETHOD 0 Automatic
1 Primal Simplex
2 Dual Simplex
3 Network Simplex
4 Barrier

Default: 0
Description: Method for continuous quadratic optimization.
Determines algorithm. Currently, the behavior of the Automatic setting is that CPLEX invokes the barrier method for continuous QP models, and the dual simplex method for root relaxations of MIQP models. The Automatic setting may be expanded in the future so that CPLEX chooses the method based on additional problem characteristics.
cpxControl.QPNZREADLIM Any integer from 0 to 268 435 450

Default: 500
Description: QP Q matrix nonzero read limit.
Sets the number of Q matrix nonzeros that can be read.
cpxControl.REDUCE 0 No primal and dual reductions
1 Only primal reductions
2 Only dual reductions
3 Both primal and dual reductions

Default: 3 values
Description: Primal and dual reduction type.
Determines whether primal reductions, dual reductions, or both, are performed during preprocessing.
cpxControl.REINV 0 Determined automatically
or, any integer from 1 to 10 000
Default: 0
Description: Simplex refactorization frequency.
Sets the number of iterations between refactorizations of the basis matrix.
cpxControl.RELAXPREIND -1 Determined automatically
0 Off (do not use presolve on initial relaxation)
1 On (use presolve on initial relaxation)

Default: -1
Description: Relaxed LP presolve indicator.
Determines whether LP presolve is applied to the root relaxation in a mixed integer program. Sometimes additional reductions can be made beyond any MIP presolve reductions that were already done.
cpxControl.RELOBJDIF Any integer from 0.0 to 1.0
Description: Relative objective difference cutoff.
Used to update the cutoff each time a mixed integer solution is found. The value is multiplied by the absolute value of the integer objective and subtracted from (added to) the newly found integer objective when minimizing (maximizing). This forces the mixed integer optimization to ignore integer solutions that are not at least this amount better than the one found so far. The relative objective difference parameter can be adjusted to improve problem solving efficiency by limiting the number of nodes; however, setting this parameter at a value other than zero (the default) can cause some integer solutions, including the true integer optimum, to be missed. If both RELOBJDIFFERENCE and OBJDIFFERENCE are nonzero, the value of OBJDIFFERENCE is used.
cpxControl.REPAIRTRIES Any positive integer

Default: 1
Description: Repair tries.
If a user provides a MIP start (full or partial) that cannot be extended into a feasible solution, CPLEX will try to repair it.
cpxControl.REPEATPRESOLVE -1 Automatic: Let CPLEX choose whether to re-apply presolve
0 Turn off repeat presolve
1 Repeat presolve without cuts
2 Repeat presolve with cuts
3 Repeat presolve with cuts and allow new root cuts

Default: -1
Description: MIP presolve setting.
How to re-apply the MIP presolve techniques of the preprocessor to a MIP model at the root after preprocessing has otherwise finished (that is, after cut generation at the root).
cpxControl.RINSHEUR -1 None
0 Automatic (default)
or, any positive integer
Default: 0
Description: Relaxation induced neighborhood search heuristic determines how often to apply the relaxation induced neighborhood search heuristic (RINS heuristic). Setting the value to -1 turns off the RINS heuristic. Setting the value to 0, the default, applies the RINS heuristic at an interval chosen automatically by CPLEX. Setting the value to a positive number applies the RINS heuristic at the requested node interval. For example, setting RINSHEUR to 20 dictates that the RINS heuristic be called at node 0, 20, 40, 60, etc.
cpxControl.ROWREADLIM Any integer from 0 to 268 435 450

Default: Varies by computer
Description:
cpxControl.SCAIND -1 No scaling
0 Equilibrium scaling method
1 More aggressive scaling

Default: 0
Description: Scale parameter.
Sets the method to be used for scaling the problem matrix.
cpxControl.SCRIND 0 Off
1 On

Default: On
Description: Messages to screen indicator.
Indicates whether or not results messages are displayed on screen.
cpxControl.SIFTALG 0 Automatic
1 Primal Simplex
2 Dual Simplex
3 Network Simplex
4 Barrier

Default: 0
Description: Sifting subproblem algorithm.
Sets the algorithm to be used for solving sifting subproblems.
cpxControl.SIFTDISPLAY 0 No display
1 Display major iterations
2 Display LP subproblem information within each sifting iteration

Default: 1
Description: Sifting display information.
Determines the amount of sifting progress information to be displayed.
cpxControl.SIFTITLIM Any nonnegative integer

Default: BIGINT
Description: Upper limit on sifting iterations.
Sets the maximum number of sifting iterations that may be performed if convergence to optimality has not been reached.
cpxControl.SIMDISPLAY 0 No iteration messages until solution
1 Iteration info after each refactorization
2 Iteration info for each iteration

Default: 1
Description: Simplex iteration display information.
Determines how often CPLEX reports during simplex optimization.
cpxControl.SINGLIM Any positive integer
Default: 10
Description: Simplex singularity repair limit.
Restricts the number of times CPLEX attempts to repair the basis when singularities are encountered. Once this limit is exceeded, CPLEX replaces the current basis with the best factorizable basis that has been found.
cpxControl.STARTALG 0 Automatic
1 Primal Simplex
2 Dual Simplex
3 Network Simplex
4 Barrier
5 Sifting
6 Concurrent Dual, Barrier and Primal

Default: 0
Description: MIP starting LP algorithm.
Determines which LP algorithm should be used to solve the initial relaxation of the MIP.
cpxControl.STRONGCANDLIM Any positive number

Default: 10
Description: MIP candidate list
Controls the length of the candidate list when using the "strong branching" variable selection setting (VARSEL 3).
cpxControl.STRONGITLIM Any positive number

Default: 0
Description: MIP simplex iterations
Controls the number of simplex iterations performed on each variable in the candidate list when using the "strong branching" variable selection setting (VARSEL 3). The default setting 0 chooses the iteration limit automatically.
cpxControl.STRONGTHREADLIM Any positive number

Default: 1
Description: MIP parallel threads
Controls the number of parallel threads used to perform strong branching. Note that this parameter does nothing if the MIP thread limit (MIPTHREADS) is greater than 1. Note also that the global thread limit, THREADS, does not affect this parameter.
cpxControl.SUBALG 1 Primal Simplex
2 Dual Simplex
3 Network Simplex
4 Barrier
5 Sifting

Default: 2
Description: MIP subproblem LP algorithm.
Sets the algorithm to be used on MIP subproblems.
cpxControl.SUBMIPNODELIM Any positive integer.

Default: 500
Description: MIP subnode limit. Restricts the number of nodes searched, during application of the relaxation induced neighborhood search (RINS) heuristic.
cpxControl.SYMMETRY -1 Determines automatically
0 Off
1 Moderate
2 Aggressive
3 Very aggressive

Default: -1
Description: Symmetry breaking cuts.
Determines whether symmetry breaking cuts may be added, during the preprocessing phase, to a MIP model.
cpxControl.THREADS Minimum: 1
Maximum: determined by license key and computer
Default: 1
Description: Global default thread count.
Determines the default number of parallel processes (threads) that will be invoked by any CPLEX parallel optimizer. This provides a convenient way to control parallelism with a single parameter setting. The value in place for this parameter can be overridden for any particular CPLEX parallel optimizer by setting the appropriate thread limit (BARTHREADS or MIPTHREADS).
cpxControl.TILIM Any non-negative number

Default: 1075
Description: Global time limit.
Sets the maximum time, in seconds, for computations before termination, as measured according to the setting of the CLOCKTYPE parameter. The time limit applies to primal simplex, dual simplex, barrier, and mixed integer optimizations, as well as infeasibility finder computations. (Network simplex and barrier crossover operations are exceptions; these processes do not terminate if the time limit is exceeded.) The time limit includes preprocessing time. For `hybrid' optimizations (such as network optimization followed by dual or primal simplex, barrier optimization followed by crossover), the cumulative time applies.
cpxControl.TRELIM Any non-negative number

Default: 1075
Description: Tree memory limit.
Sets an absolute upper limit on the size (in megabytes) of the branch & cut tree. If this limit is exceeded, CPLEX terminates optimization.
cpxControl.VARSEL -1 Branch on variable with minimum infeasibility
0 Branch variable automatically selected
1 Branch on variable with maximum infeasibility
2 Branch based on pseudo costs
3 Strong branching
4 Branch based on pseudo reduced costs

Default: 0
Description: MIP variable selection strategy.
Used to set the rule for selecting the branching variable at the node which has been selected for branching. The maximum infeasibility rule chooses the variable with the largest fractional value; the minimum infeasibility rule chooses the variable with the smallest fractional value. The minimum infeasibility rule (-1) may lead more quickly to a first integer feasible solution, but is usually slower overall to reach the optimal integer solution. The maximum infeasibility rule (1) forces larger changes earlier in the tree, which tend to produce faster overall times to reach the optimal integer solution. Pseudo cost (2) variable selection is derived from pseudo-shadow prices. Strong branching (3) causes variable selection based on partially solving a number of subproblems with tentative branches to see which branch is the most promising. This strategy can be effective on large, difficult MIP problems. Pseudo reduced costs (4) are a computationally less-intensive form of pseudo costs. The default value (0) allows CPLEX to select the best rule based on the problem and its progress.
cpxControl.WORKDIR Default: “.”
Description: Directory for working files.
Specifies the name of an existing directory into which CPLEX may store temporary working files, such as for MIP node files or for out-of-core Barrier.
cpxControl.WORKMEM Any positive number, in megabytes
Default: 128.0
Description: Memory available for working storage.
Specifies an upper limit on the amount of central memory, in megabytes, that CPLEX is permitted to use for working files (see WORKDIR).
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