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A computational comparison of formulations for a multi-period facility location problem with modular capacity adjustments and flexible demand fulfillment

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  • Correia, Isabel
  • Melo, Teresa

Abstract

We consider a multi-period facility location problem that takes into account changing trends in customer demands and costs. To this end, new facilities can be established at pre-specified potential locations and initially existing facilities can be closed over a planning horizon. Furthermore, facilities operate with modular capacities that can be expanded or contracted over multiple periods. A distinctive feature of our problem is that two customer segments are considered with different sensitivity to delivery lead times. Customers in the first segment require timely demand satisfaction, whereas customers in the second segment tolerate late deliveries. A tardiness penalty cost is incurred to each unit of demand that is satisfied with delay. We propose two alternative mixed-integer linear formulations to redesign the facility network over the time horizon at minimum cost. Additional inequalities are developed to enhance the original formulations. A computational study is performed with randomly generated instances and using a general-purpose solver. Useful insights are derived from analyzing the impact of several parameters on network redesign decisions and on the overall cost, such as different demand patterns and varying values for the maximum delivery delay tolerated by individual customers.

Suggested Citation

  • Correia, Isabel & Melo, Teresa, 2016. "A computational comparison of formulations for a multi-period facility location problem with modular capacity adjustments and flexible demand fulfillment," Technical Reports on Logistics of the Saarland Business School 11, Saarland University of Applied Sciences (htw saar), Saarland Business School.
  • Handle: RePEc:zbw:htwlog:11
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    1. Troncoso, Juan J. & Garrido, Rodrigo A., 2005. "Forestry production and logistics planning: an analysis using mixed-integer programming," Forest Policy and Economics, Elsevier, vol. 7(4), pages 625-633, May.
    2. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
    3. Sanjay Jena & Jean-François Cordeau & Bernard Gendron, 2015. "Modeling and solving a logging camp location problem," Annals of Operations Research, Springer, vol. 232(1), pages 151-177, September.
    4. Sang-Bum Lee & Hanan Luss, 1987. "Multifacility-Type Capacity Expansion Planning: Algorithms and Complexities," Operations Research, INFORMS, vol. 35(2), pages 249-253, April.
    5. Albareda-Sambola, Maria & Fernández, Elena & Nickel, Stefan, 2012. "Multiperiod Location-Routing with Decoupled Time Scales," European Journal of Operational Research, Elsevier, vol. 217(2), pages 248-258.
    6. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    7. Martínez-Costa, Carme & Mas-Machuca, Marta & Benedito, Ernest & Corominas, Albert, 2014. "A review of mathematical programming models for strategic capacity planning in manufacturing," International Journal of Production Economics, Elsevier, vol. 153(C), pages 66-85.
    8. Antunes, Antonio & Peeters, Dominique, 2001. "On solving complex multi-period location models using simulated annealing," European Journal of Operational Research, Elsevier, vol. 130(1), pages 190-201, April.
    9. Eric Delmelle & Jean-Claude Thill & Dominique Peeters & Isabelle Thomas, 2014. "A multi-period capacitated school location problem with modular equipment and closest assignment considerations," Journal of Geographical Systems, Springer, vol. 16(3), pages 263-286, July.
    10. Gebennini, Elisa & Gamberini, Rita & Manzini, Riccardo, 2009. "An integrated production-distribution model for the dynamic location and allocation problem with safety stock optimization," International Journal of Production Economics, Elsevier, vol. 122(1), pages 286-304, November.
    11. Sanjay Dominik Jena & Jean-François Cordeau & Bernard Gendron, 2015. "Dynamic Facility Location with Generalized Modular Capacities," Transportation Science, INFORMS, vol. 49(3), pages 484-499, August.
    12. Alexander Shulman, 1991. "An Algorithm for Solving Dynamic Capacitated Plant Location Problems with Discrete Expansion Sizes," Operations Research, INFORMS, vol. 39(3), pages 423-436, June.
    13. Vila, Didier & Martel, Alain & Beauregard, Robert, 2006. "Designing logistics networks in divergent process industries: A methodology and its application to the lumber industry," International Journal of Production Economics, Elsevier, vol. 102(2), pages 358-378, August.
    14. Julka, Nirupam & Baines, Tim & Tjahjono, Benny & Lendermann, Peter & Vitanov, Val, 2007. "A review of multi-factor capacity expansion models for manufacturing plants: Searching for a holistic decision aid," International Journal of Production Economics, Elsevier, vol. 106(2), pages 607-621, April.
    15. Liang, Zhe & He, Yan & Wu, Tao & Zhang, Canrong, 2015. "An informative column generation and decomposition method for a production planning and facility location problem," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 88-96.
    16. Merzifonluoglu, Yasemin & Geunes, Joseph, 2006. "Uncapacitated production and location planning models with demand fulfillment flexibility," International Journal of Production Economics, Elsevier, vol. 102(2), pages 199-216, August.
    17. Stefan Nickel & Francisco Saldanha Gama, 2015. "Multi-Period Facility Location," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 289-310, Springer.
    18. Thanh, Phuong Nga & Bostel, Nathalie & Péton, Olivier, 2008. "A dynamic model for facility location in the design of complex supply chains," International Journal of Production Economics, Elsevier, vol. 113(2), pages 678-693, June.
    19. Correia, Isabel & Melo, Teresa, 2016. "Multi-period capacitated facility location under delayed demand satisfaction," European Journal of Operational Research, Elsevier, vol. 255(3), pages 729-746.
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    Keywords

    facility location; multi-period; capacity expansion and contraction; delivery lateness; mixed-integer linear models;
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