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Minimizing the maximum travel time in a combined model of facility location and network design

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  • Contreras, Ivan
  • Fernández, Elena
  • Reinelt, Gerhard

Abstract

This paper presents a combined Facility Location/Network Design Problem which simultaneously considers the location of facilities and the design of its underlying network so as to minimize the maximum customer-facility travel time. The model generalizes the classical p-center problem and has various applications in regional planning, distribution, telecommunications, emergency systems, and other areas. Two mixed integer programming formulations are presented and compared. Several valid inequalities are derived for the most promising of these formulations to strengthen its LP relaxation bound and to reduce the enumeration tree. Numerical results of a series of computational experiments for instances with up to 100 nodes and 500 candidate links are reported.

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  • Contreras, Ivan & Fernández, Elena & Reinelt, Gerhard, 2012. "Minimizing the maximum travel time in a combined model of facility location and network design," Omega, Elsevier, vol. 40(6), pages 847-860.
    • Handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:847-860
    DOI: 10.1016/j.omega.2012.01.006
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    6. Mohamed Amine Gargouri & Nadia Hamani & Nassim Mrabti & Lyes Kermad, 2021. "Optimization of the Collaborative Hub Location Problem with Metaheuristics," Mathematics, MDPI, vol. 9(21), pages 1-31, October.
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    8. Davood Shishebori & Lawrence Snyder & Mohammad Jabalameli, 2014. "A Reliable Budget-Constrained FL/ND Problem with Unreliable Facilities," Networks and Spatial Economics, Springer, vol. 14(3), pages 549-580, December.
    9. Ghaffarinasab, Nader & Kara, Bahar Y. & Campbell, James F., 2022. "The stratified p-hub center and p-hub maximal covering problems," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 120-148.
    10. Abdolsalam Ghaderi, 2015. "Heuristic Algorithms for Solving an Integrated Dynamic Center Facility Location - Network Design Model," Networks and Spatial Economics, Springer, vol. 15(1), pages 43-69, March.
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