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A RANDOM-KEY GRASP FOR COMBINATORIAL OPTIMIZATION

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Author(s):
Chaves, A. A. ; Resende, M. G. C. ; Silva, R. M. A.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS; v. 8, n. 6, p. 27-pg., 2024-01-01.
Abstract

This paper proposes a problem-independent GRASP metaheuristic by using the random-key tic for combinatorial optimization that repeatedly applies a semi-greedy construction procedure followed by a local search procedure. The best solution found over all iterations is returned as the solution of the GRASP. Continuous GRASP (C-GRASP) is an extension of GRASP for continuous optimization in the unit hypercube. A random-key optimizer (RKO) uses a vector of random keys to encode a solution to a combinatorial optimization problem. It uses a decoder to evaluate a solution encoded by the vector of random keys. A random-key GRASP is a C-GRASP where points in the unit hypercube are evaluated employing a decoder. We describe random key GRASP consisting of a problem-independent component and a problem-dependent decoder. As a proof of concept, the random-key GRASP is tested on five NPhard combinatorial optimization problems: traveling salesman problem, tree of hubs location problem, Steiner triple covering problem, node capacitated graph partitioning problem, and job sequencing and tool switching problem. (AU)

FAPESP's process: 22/05803-3 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/15417-8 - Development of a hybrid metaheuristic with adaptive control flow and parameters
Grantee:Antônio Augusto Chaves
Support Opportunities: Research Grants - Young Investigators Grants - Phase 2