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An extreme‐point tabu‐search algorithm for fixed‐charge network problems
Author(s) -
Barr Richard S.,
Glover Fred,
Huskinson Toby,
Kochenberger Gary
Publication year - 2021
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.22020
Subject(s) - tabu search , fixed charge , transshipment (information security) , algorithm , flow network , parametric statistics , mathematical optimization , computer science , set (abstract data type) , fixed point , transportation theory , mathematics , statistics , computer security , molecular physics , programming language , mathematical analysis , chemistry
We propose a new algorithm for fixed‐charge network flow problems based on ghost image (GI) processes as proposed in Glover (1994) and adapted to fixed‐charge transportation problems in Glover et al. (2005). Our GI algorithm iteratively modifies an idealized representation of the problem embodied in a parametric GI, enabling all steps to be performed with a primal network flow algorithm operating on the parametric GI. Computational testing is carried out on well‐known problems from the literature plus a new set of large‐scale fixed‐charge transportation and transshipment network instances. We also provide comparisons against CPLEX 12.8 and demonstrate that the new GI algorithm with tabu search (TS) is effective on large problem instances, finding solutions with statistically equivalent objective values at least 700 times faster. The attractive outcomes produced by the current GI/TS implementation provide a significant advance in our ability to solve fixed‐cost network problems efficiently and invites its use for larger instances from a variety of application domains.