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Competitive location and pricing on a line with metric transportation costs

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  • Arbib, Claudio
  • Pınar, Mustafa Ç.
  • Tonelli, Matteo

Abstract

Consider a three-level non-capacitated location/pricing problem: a firm first decides which facilities to open, out of a finite set of candidate sites, and sets service prices with the aim of revenue maximization; then a second firm makes the same decisions after checking competing offers; finally, customers make individual decisions trying to minimize costs that include both purchase and transportation. A restricted two-level problem can be defined to model an optimal reaction of the second firm to known decision of the first.

Suggested Citation

  • Arbib, Claudio & Pınar, Mustafa Ç. & Tonelli, Matteo, 2020. "Competitive location and pricing on a line with metric transportation costs," European Journal of Operational Research, Elsevier, vol. 282(1), pages 188-200.
    • Handle: RePEc:eee:ejores:v:282:y:2020:i:1:p:188-200
    DOI: 10.1016/j.ejor.2019.08.042
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    References listed on IDEAS

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    1. Gentile, José & Alves Pessoa, Artur & Poss, Michael & Costa Roboredo, Marcos, 2018. "Integer programming formulations for three sequential discrete competitive location problems with foresight," European Journal of Operational Research, Elsevier, vol. 265(3), pages 872-881.
    2. Eiselt, H. A. & Laporte, Gilbert, 1997. "Sequential location problems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 217-231, January.
    3. Paul Berglund & Changhyun Kwon, 2014. "Solving a Location Problem of a Stackelberg Firm Competing with Cournot-Nash Firms," Networks and Spatial Economics, Springer, vol. 14(1), pages 117-132, March.
    4. Boglárka G.-Tóth & Kristóf Kovács, 2016. "Solving a Huff-like Stackelberg location problem on networks," Journal of Global Optimization, Springer, vol. 64(2), pages 233-247, February.
    5. Kathrin Fischer, 2002. "Sequential Discrete p-Facility Models for Competitive Location Planning," Annals of Operations Research, Springer, vol. 111(1), pages 253-270, March.
    6. María García Pérez & Blas Pelegrín, 2003. "All Stackelberg Location Equilibria in the Hotelling's Duopoly Model on a Tree with Parametric Prices," Annals of Operations Research, Springer, vol. 122(1), pages 177-192, September.
    7. Yves Crama & Pierre Hansen & Brigitte Jaumard, 1995. "Complexity of Product Positioning and Ball Intersection Problems," Mathematics of Operations Research, INFORMS, vol. 20(4), pages 885-894, November.
    8. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
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    Cited by:

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    2. Nala Alahmari & Rashid Mehmood & Ahmed Alzahrani & Tan Yigitcanlar & Juan M. Corchado, 2023. "Autonomous and Sustainable Service Economies: Data-Driven Optimization of Design and Operations through Discovery of Multi-Perspective Parameters," Sustainability, MDPI, vol. 15(22), pages 1-44, November.
    3. Lin, Yun Hui & Tian, Qingyun, 2023. "Facility location and pricing problem: Discretized mill price and exact algorithms," European Journal of Operational Research, Elsevier, vol. 308(2), pages 568-580.
    4. Danzhu Wang & Lingyun Zhou & Huimin Zhang & Xiaokang Liang, 2021. "A Bi-Level Model for Green Freight Transportation Pricing Strategy Considering Enterprise Profit and Carbon Emissions," Sustainability, MDPI, vol. 13(12), pages 1-20, June.
    5. Keqiang Wang & Guoxiang Li & Hongmei Liu, 2020. "Location choice of industrial land reduction in Metropolitan Area: Evidence from Shanghai in China," Growth and Change, Wiley Blackwell, vol. 51(4), pages 1837-1859, December.

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