Initializing help system before first use

# problem.optimize

Purpose
This function begins a search for the optimal solution of the problem. The direction of optimization is given by OBJSENSE.
Topic areas
Solution Process, Optimizer
Synopsis
`solvestatus, solstatus = problem.optimize(flags="")`
Argument

flags: str | Flags to pass to problem.optimize. The default is "" or None. If the argument includes:
s | solve the problem to local optimality;
x | solve the problem to global optimality;
l | (deprecated) if a branch and bound search is necessary to solve the problem, stop after solving the root node. This flag is deprecated, use the MIPSTOPSTAGE control instead.

Return value

solvestatus: SolveStatus | The solve status after termination. Takes the same values as SOLVESTATUS
solstatus: SolStatus | The solution status after termination. Takes the same values as SOLSTATUS

Further information
1. A problem is identified as a MIP if it contains any of the following: MIP entities, piecewise linear constraints or general constraints, or any of the callbacks set by problem.addOptnodeCallback, problem.addPreIntsolCallback or problem.addChangeBranchObjectCallback.
2. problem.optimize automatically selects the optimization method based on the problem type. If the problem contains nonlinear formulas or a non-convex quadratic constraint or objective function, it is equivalent to calling problem.nlpOptimize, except that the g flag will be applied by default. Otherwise, for a problem identified as a MIP, it is equivalent to calling problem.mipOptimize and for all other problems it is equivalent to calling problem.lpOptimize. To determine which method was selected check the OPTIMIZETYPEUSED attribute. If the value is xpress.OptimizeType.LOCAL, then you can check the LOCALSOLVERSELECTED attribute to determine which local solver was selected.
3. Passing the s flag is equivalent to setting the NLPSOLVER control to xpress.constants.NLPSOLVER_LOCAL. Passing the x flag is equivalent to setting the NLPSOLVER control to xpress.constants.NLPSOLVER_GLOBAL. If neither flag is passed, and if the NLPSOLVER control is xpress.constants.NLPSOLVER_AUTOMATIC, then this decision will be made based on problem attributes, including convexity and the presence of user functions, and which features are authorized by the license file.
4. Any additional flags not listed above will be treated in the same way as for problem.lpOptimize, problem.mipOptimize and problem.nlpOptimize, depending on the type of optimization performed. The DEFAULTALG control will also behave in the same way as for these functions.
5. If there is a solve in progress, problem.optimize will always try to continue that solve (similar to problem.mipOptimize but unlike problem.nlpOptimize, which would only do so if the -c flag was given).
6. The method used to solve the problem is stored in the OPTIMIZETYPEUSED attribute.
7. Regarding the l flag, a branch and bound search is required when a problem is identified as a MIP, or when the global solver is selected. This includes a problem with non-linear formulas that can be reformulated as a MIP (for example, if the formulas contain only piecewise linear functions, min/max functions or convex quadratic constraints). In these cases, passing the l flag will cause the Optimizer to stop after solving the initial LP relaxation.
Related topics
problem.lpOptimize, problem.mipOptimize, problem.nlpOptimize ( NLPOPTIMIZE), the Optimizer Reference Manual.
Parent Topic Xpress problem object methods

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