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Lower and upper bounds for location-arc routing problems with vehicle capacity constraints

Seyed Hossein Hashemi Doulabi and Abbas Seifi

European Journal of Operational Research, 2013, vol. 224, issue 1, 189-208

Abstract: This paper addresses multi-depot location arc routing problems with vehicle capacity constraints. Two mixed integer programming models are presented for single and multi-depot problems. Relaxing these formulations leads to other integer programming models whose solutions provide good lower bounds for the total cost. A powerful insertion heuristic has been developed for solving the underlying capacitated arc routing problem. This heuristic is used together with a novel location–allocation heuristic to solve the problem within a simulated annealing framework. Extensive computational results demonstrate that the proposed algorithm can find high quality solutions. We also show that the potential cost saving resulting from adding location decisions to the capacitated arc routing problem is significant.

Keywords: Location-arc routing; Arc routing; Integrated logistics; Mixed integer programming; Heuristics (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:224:y:2013:i:1:p:189-208

DOI: 10.1016/j.ejor.2012.06.015

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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