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Single and parallel machine capacitated lotsizing and scheduling: New iterative MIP-based neighborhood search heuristics

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Summary:We propose a general-purpose heuristic approach combining metaheuristics and mixed integer programming to find high quality solutions to the challenging single- and parallel-machine capacitated lotsizing and scheduling problem with sequence-dependent setup times and costs. Commercial solvers fail to solve even medium-sized instances of this NP-hard problem; therefore, heuristics are required to find competitive solutions. We develop construction, improvement and search heuristics all based on MIP formulations. We then compare the performance of these heuristics with those of two metaheuristics and other MIP-based heuristics that have been proposed in the literature, and to a state-of-the-art commercial solver. A comprehensive set of computational experiments shows the effectiveness and efficiency of the main approach, a stochastic MIP-based local search heuristic, in solving medium to large size problems. Our solution procedures are quite flexible and may easily be adapted to cope with model extensions or to address different optimization problems that arise in practice. (C) 2011 Elsevier Ltd. All rights reserved.
Country:Portugal
Document type:journal article
Access type:Restricted
Associated institution:Repositório Aberto da Universidade do Porto
Language:English
Origin:Repositório Aberto da Universidade do Porto
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conditionsOfAccess_str restricted access
country_str PT
description We propose a general-purpose heuristic approach combining metaheuristics and mixed integer programming to find high quality solutions to the challenging single- and parallel-machine capacitated lotsizing and scheduling problem with sequence-dependent setup times and costs. Commercial solvers fail to solve even medium-sized instances of this NP-hard problem; therefore, heuristics are required to find competitive solutions. We develop construction, improvement and search heuristics all based on MIP formulations. We then compare the performance of these heuristics with those of two metaheuristics and other MIP-based heuristics that have been proposed in the literature, and to a state-of-the-art commercial solver. A comprehensive set of computational experiments shows the effectiveness and efficiency of the main approach, a stochastic MIP-based local search heuristic, in solving medium to large size problems. Our solution procedures are quite flexible and may easily be adapted to cope with model extensions or to address different optimization problems that arise in practice. (C) 2011 Elsevier Ltd. All rights reserved.
documentTypeURL_str http://purl.org/coar/resource_type/c_6501
documentType_str journal article
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identifierHandle_str https://hdl.handle.net/10216/94289
language eng
relatedInstitutions_str_mv Repositório Aberto da Universidade do Porto
resourceName_str Repositório Aberto da Universidade do Porto
spellingShingle Single and parallel machine capacitated lotsizing and scheduling: New iterative MIP-based neighborhood search heuristics
title Single and parallel machine capacitated lotsizing and scheduling: New iterative MIP-based neighborhood search heuristics