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# Executable | ||
# [Executable](@id executable) | ||
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For convenience, the executable is assumed to be `bin/highs`. | ||
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# [Solvers](@id solvers) | ||
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## LP | ||
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HiGHS has implementations of the three main solution techniques for | ||
LP. HiGHS will choose the most appropriate technique for a given | ||
problem, but this can be over-ridden by setting the option | ||
[__solver__](@ref option-solver). | ||
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#### Simplex | ||
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HiGHS has efficient implementations of both the primal and dual | ||
simplex methods, although the dual simplex solver is likely to be | ||
faster and is more robust, so is used by default. The novel features | ||
of the dual simplex solver are described in | ||
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_Parallelizing the dual revised simplex method_, Q. Huangfu and | ||
J. A. J. Hall, Mathematical Programming Computation, 10 (1), 119-142, | ||
2018 [DOI: | ||
10.1007/s12532-017-0130-5](https://link.springer.com/article/10.1007/s12532-017-0130-5). | ||
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* Setting the option [__solver__](@ref option-solver) to "simplex" forces the simplex solver to be used | ||
* The option [__simplex\_strategy__](@ref option-simplex_strategy) | ||
determines whether the primal solver or one of the parallel solvers is | ||
to be used. | ||
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#### Interior point | ||
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HiGHS has one interior point (IPM) solver based on the preconditioned conjugate gradient method, as discussed in | ||
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_Implementation of an interior point method with basis | ||
preconditioning_, Mathematical Programming Computation, 12, 603-635, 2020. [DOI: | ||
10.1007/s12532-020-00181-8](https://link.springer.com/article/10.1007/s12532-020-00181-8). | ||
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This solver is serial. An interior point solver based on direct factorization is being developed. | ||
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Setting the option [__solver__](@ref option-solver) to "ipm" forces the IPM solver to be used | ||
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#### Primal-dual hybrid gradient method | ||
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HiGHS includes the [cuPDLP-C](https://github.com/COPT-Public/cuPDLP-C) | ||
primal-dual hybrid gradient method for LP (PDLP). Currently this only | ||
runs on CPU, so it is unlikely to be competitive with the HiGHS | ||
interior point or simplex solvers. Enabling HiGHS to run PDLP on a GPU | ||
is work in progress. | ||
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Setting the option [__solver__](@ref option-solver) to "pdlp" forces the PDLP solver to be used | ||
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## MIP | ||
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The HiGHS MIP solver uses established branch-and-cut techniques | ||
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## QP | ||
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The HiGHS solver for convex QP problems uses an established primal | ||
active set method. The new interior point solver will also be able to | ||
solve convex QP problems. | ||
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