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Turing interpreted this to mean a computing machine and set out to design one capable of resolving all mathematical problems, but in the process he proved in his seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem ['Halting Problem']" (1936) that no such universal mathematical solver could ever exist.
Owing to the analytical nature of the coupled equations, they can be solved using a mathematical solver such as MATLAB [138, 139].
By considering some real-world examples, we show that the proposed meta-heuristic provides very accurate results, and still runs ∼600 2800 times faster than the optimal solution obtained from a general purpose mathematical solver [1].
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The resulting algorithm requires the solution of a series of linear programming problems that can be efficiently solved with standard mathematical solvers.
The mathematical optimization solver is CPLEX 12.4 [28].
A sub-network connection method is developed, and a mathematical programming solver is utilized to solve the suggested model.
A solution algorithm, incorporating a problem decomposition technique and the use of a mathematical programming solver, is developed to efficiently solve the problem.
Cplex Optimizer can provides flexible, high-performance mathematical programming solvers, for linear programming, mixed integer programming, quadratic programming, and quadratically constrained programming problems with millions of constraints and variables.
The framework was also used to solve a larger SWM system; the results show that the framework solves in reasonable time using typical hardware and readily available mathematical programming solvers.
The solutions provided by the HGA are compared with a selected set of classical mathematical programming solvers namely, AlphaECP, BARON 14, BONMIN, DICOPT, KNITRO and SBB which have been modeled with the General Algebraic Modelling System GAMSS).
This contribution deals with the optimization of the design of reactive distillation columns by using a memetic algorithm (MA) which is a combination of an evolution strategy (ES) and a mathematical programming (MP) solver.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com