TY - JOUR

T1 - Parameter tuning for local-search-based matheuristic methods

AU - Cabrera-Guerrero, Guillermo

AU - Lagos, Carolina

AU - Castañeda, Carolina

AU - Johnson, Franklin

AU - Paredes, Fernando

AU - Cabrera, Enrique

N1 - Publisher Copyright:
© 2017 Guillermo Cabrera-Guerrero et al.

PY - 2017

Y1 - 2017

N2 - Algorithms that aim to solve optimisation problems by combining heuristics and mathematical programming have attracted researchers' attention. These methods, also known as matheuristics, have been shown to perform especially well for large, complex optimisation problems that include both integer and continuous decision variables. One common strategy used by matheuristic methods to solve such optimisation problems is to divide the main optimisation problem into several subproblems. While heuristics are used to seek for promising subproblems, exact methods are used to solve them to optimality. In general, we say that both mixed integer (non)linear programming problems and combinatorial optimisation problems can be addressed using this strategy. Beside the number of parameters researchers need to adjust when using heuristic methods, additional parameters arise when using matheuristic methods. In this paper we focus on one particular parameter, which determines the size of the subproblem. We show how matheuristic performance varies as this parameter is modified. We considered a well-known NP-hard combinatorial optimisation problem, namely, the capacitated facility location problem for our experiments. Based on the obtained results, we discuss the effects of adjusting the size of subproblems that are generated when using matheuristics methods such as the one considered in this paper.

AB - Algorithms that aim to solve optimisation problems by combining heuristics and mathematical programming have attracted researchers' attention. These methods, also known as matheuristics, have been shown to perform especially well for large, complex optimisation problems that include both integer and continuous decision variables. One common strategy used by matheuristic methods to solve such optimisation problems is to divide the main optimisation problem into several subproblems. While heuristics are used to seek for promising subproblems, exact methods are used to solve them to optimality. In general, we say that both mixed integer (non)linear programming problems and combinatorial optimisation problems can be addressed using this strategy. Beside the number of parameters researchers need to adjust when using heuristic methods, additional parameters arise when using matheuristic methods. In this paper we focus on one particular parameter, which determines the size of the subproblem. We show how matheuristic performance varies as this parameter is modified. We considered a well-known NP-hard combinatorial optimisation problem, namely, the capacitated facility location problem for our experiments. Based on the obtained results, we discuss the effects of adjusting the size of subproblems that are generated when using matheuristics methods such as the one considered in this paper.

UR - http://www.scopus.com/inward/record.url?scp=85042378916&partnerID=8YFLogxK

U2 - 10.1155/2017/1702506

DO - 10.1155/2017/1702506

M3 - Article

AN - SCOPUS:85042378916

SN - 1076-2787

VL - 2017

JO - Complexity

JF - Complexity

M1 - 1702506

ER -