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A hybrid clonal selection algorithm for the location routing problem with stochastic demands

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Abstract

In this paper, a new formulation of the Location Routing Problem with Stochastic Demands is presented. The problem is treated as a two phase problem where in the first phase it is determined which depots will be opened and which customers will be assigned to them while in the second phase, for each of the open depots a Vehicle Routing Problem with Stochastic Demands is solved. For the solution of the problem a Hybrid Clonal Selection Algorithm is applied, where, in the two basic phases of the Clonal Selection Algorithm, a Variable Neighborhood Search algorithm and an Iterated Local Search algorithm respectively have been utilized. As there are no benchmark instances in the literature for this form of the problem, a number of new test instances have been created based on instances of the Capacitated Location Routing Problem. The algorithm is compared with both other variants of the Clonal Selection Algorithm and other evolutionary algorithms.

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Authors and Affiliations

  1. School of Production Engineering and Management, Technical University of Crete, 73100, Chania, Greece

    Yannis Marinakis & Magdalene Marinaki

  2. Industrial Logistics, Luleå Technical University, 97187, Luleå, Sweden

    Athanasios Migdalas

  3. Department of Civil Engineering, Aristotle University of Thessalonike, 54124, Thessalonike, Greece

    Athanasios Migdalas

Authors
  1. Yannis Marinakis
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  2. Magdalene Marinaki
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  3. Athanasios Migdalas
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Correspondence to Yannis Marinakis.

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Marinakis, Y., Marinaki, M. & Migdalas, A. A hybrid clonal selection algorithm for the location routing problem with stochastic demands. Ann Math Artif Intell 76, 121–142 (2016). https://doi.org/10.1007/s10472-014-9441-7

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