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An approach for solving competitive location problems with variable demand using multicore systems

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Abstract

A planar competitive location and design problem with variable demand is considered. The assumption that the demand may vary depending on the conditions of the market makes the problem more realistic, but it also increases its complexity, and therefore, the computational effort needed to solve it. In this paper, a modification of a heuristic recently proposed to cope with the problem is presented, which allows, on the one hand, to obtain the same solutions as the original heuristic more quickly and, on the other hand, to handle larger size problems. Furthermore, a parallel version of the algorithm, suitable for being run in most of today’s personal computers, has also been proposed. The parallel algorithm has been implemented using the OpenMP library and the results show an ideal efficiency up to at least eight processors (the largest number of available processing elements). The effectiveness of the parallel algorithm has also been measured. From the computational results, it can be inferred that the proposed parallelization is robust.

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Acknowledgments

This work has been funded by grants from the Spanish Ministry of Science and Innovation (TIN2008-01117, ECO2011-24927), Junta de Andalucía (P08-TIC-3518 and P10-TIC-6002) and Fundación Séneca (The Agency of Science and Technology of the Region of Murcia, 00003/CS/10 and 15254/PI/10), in part financed by the European Regional Development Fund (ERDF). Juana López Redondo is a fellow of the Spanish ‘Juan de la Cierva’ contract program.

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Authors and Affiliations

  1. Department of Statistics and Operations Research, University of Murcia, Campus Universitario de Espinardo, 30100 , Espinardo, Murcia, Spain

    A. G. Arrondo & J. Fernández

  2. Department of Computer Architecture and Technology, University of Granada, C/Periodista Daniel Saucedo Aranda s/n, 18071 , Granada, Spain

    J. L. Redondo

  3. Department of Computer Architecture and Electronics, University of Almería, Carretera de Sacramento s/n 04120 La Cañada de San Urbano, Almería, Spain

    P. M. Ortigosa

Authors
  1. A. G. Arrondo
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  2. J. Fernández
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  3. J. L. Redondo
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  4. P. M. Ortigosa
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Correspondence to A. G. Arrondo.

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Arrondo, A.G., Fernández, J., Redondo, J.L. et al. An approach for solving competitive location problems with variable demand using multicore systems. Optim Lett 8, 555–567 (2014). https://doi.org/10.1007/s11590-012-0596-z

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  • DOI: https://doi.org/10.1007/s11590-012-0596-z

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