Multi-item production routing problem with backordering: a MILP approach
The aim of this paper is to present mixed integer linear programming formulations for the production routing problem with backordering (PRP-B) and a new hybrid heuristic to solve the problem. The PRP-B is considered in the context of a supply chain consisting of a production facility with limited pr...
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| Published in: | International journal of production research Vol. 54; no. 4; pp. 1076 - 1093 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Taylor & Francis
16-02-2016
Taylor & Francis LLC |
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| Abstract | The aim of this paper is to present mixed integer linear programming formulations for the production routing problem with backordering (PRP-B) and a new hybrid heuristic to solve the problem. The PRP-B is considered in the context of a supply chain consisting of a production facility with limited production and storage capacities and geographically dispersed points of sale with limited storage capacities. The PRP-B integrates multiple item lot sizing decisions and vehicle routing decisions to the points of sale, where backordering of end customer demands is allowed at a penalty. Two integrated mixed integer programming models are formulated and a solution procedure consisting of a relax-and-fix heuristic combined with a local search algorithm is proposed. The numerical results show that this hybrid heuristic outperforms a state-of-the-art MIP commercial solver, in terms of solution quality and CPU times. |
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| AbstractList | The aim of this paper is to present mixed integer linear programming formulations for the production routing problem with backordering (PRP-B) and a new hybrid heuristic to solve the problem. The PRP-B is considered in the context of a supply chain consisting of a production facility with limited production and storage capacities and geographically dispersed points of sale with limited storage capacities. The PRP-B integrates multiple item lot sizing decisions and vehicle routing decisions to the points of sale, where backordering of end customer demands is allowed at a penalty. Two integrated mixed integer programming models are formulated and a solution procedure consisting of a relax-and-fix heuristic combined with a local search algorithm is proposed. The numerical results show that this hybrid heuristic outperforms a state-of-the-art MIP commercial solver, in terms of solution quality and CPU times. |
| Author | Brahimi, Nadjib Aouam, Tarik |
| Author_xml | – sequence: 1 givenname: Nadjib surname: Brahimi fullname: Brahimi, Nadjib email: nbrahimi@Mines-Nantes.fr organization: Département Automatique, Productique et Informatique, Ecole des Mines de Nantes-IRCCyN (UMR-CNRS 6597) – sequence: 2 givenname: Tarik surname: Aouam fullname: Aouam, Tarik organization: Faculty of Economics and Business Administration, Department of Business Informatics and Operations Management, Ghent University |
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| SubjectTerms | backordering Decisions Heuristic Integer programming Linear programming lot sizing problem Mathematical models Mixed integer Optimization Production planning production routing problem relax-and-fix heuristic Routing Sales Solvers Storage capacity vehicle routing problem |
| Title | Multi-item production routing problem with backordering: a MILP approach |
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