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Capacitated Location Problems on a Line

Author

Listed:
  • Prakash Mirchandani

    (Joseph M. Katz Graduate School of Business, University of Pittsburgh, Pittsburgh, Pennsylvania 15260)

  • Rajeev Kohli

    (Graduate School of Business, Columbia University, New York 10027)

  • Arie Tamir

    (Stern School of Business, New York University, and School of Mathematical Sciences, Tel Aviv University, Israel)

Abstract

This paper examines capacitated facility location problems on a straight line. To serve a customer, a facility must be located within a corresponding customer neighborhood. The fixed costs of locating facilities and the unit production costs of serving a customer from a facility can depend upon their locations on the line. We discuss the computational complexity of several capacitated location models. For capacitated problems on a line with non-nested customer intervals, and for general capacitated problems that satisfy a certain “monotonicity” property, we develop polynomial-time dynamic programming algorithms for (i) locating minimum cost facilities to serve all customers, and (ii) maximizing the profit by locating up to q facilities that serve some or all customers with idiosyncratic returns, penalties and demands.

Suggested Citation

  • Prakash Mirchandani & Rajeev Kohli & Arie Tamir, 1996. "Capacitated Location Problems on a Line," Transportation Science, INFORMS, vol. 30(1), pages 75-80, February.
    • Handle: RePEc:inm:ortrsc:v:30:y:1996:i:1:p:75-80
    DOI: 10.1287/trsc.30.1.75
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    Cited by:

    1. Huang, Rongbing & Menezes, Mozart B.C. & Kim, Seokjin, 2012. "The impact of cost uncertainty on the location of a distribution center," European Journal of Operational Research, Elsevier, vol. 218(2), pages 401-407.
    2. Güden, Hüseyin & Süral, Haldun, 2014. "Locating mobile facilities in railway construction management," Omega, Elsevier, vol. 45(C), pages 71-79.
    3. Hüseyin Güden & Haldun Süral, 2017. "A polynomial algorithm for the earthwork allocation problem with borrow and waste site selection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1085-1093, September.

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