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A Note on the Optimal Positioning of Service Units

Author

Listed:
  • E. Carrizosa

    (Universidad de Sevilla, Sevilla, Spain)

  • M. Muñoz-Márquez

    (Universidad de Cádit, Cádit, Spain)

  • J. Puerto

    (Universidad de Sevilla, Sevilla, Spain)

Abstract

In this paper we address the problem of locating p mobile service units in an n -dimensional space minimizing the expected response time. It is shown that an optimal solution to the problem is a degenerate distribution for the service, concluding that it is optimal to park the p units. This extends previous results in the literature for location on a segment.

Suggested Citation

  • E. Carrizosa & M. Muñoz-Márquez & J. Puerto, 1998. "A Note on the Optimal Positioning of Service Units," Operations Research, INFORMS, vol. 46(1), pages 155-156, February.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:1:p:155-156
    DOI: 10.1287/opre.46.1.155
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    References listed on IDEAS

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    1. Rosing, K. E., 1992. "An optimal method for solving the (generalized) multi-Weber problem," European Journal of Operational Research, Elsevier, vol. 58(3), pages 414-426, May.
    2. Larry R. Anderson & Robert A. Fontenot, 1992. "Optimal Positioning of Service Units Along a Coordinate Line," Transportation Science, INFORMS, vol. 26(4), pages 346-351, November.
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    Cited by:

    1. Yılmaz, Seren Bilge & Yücel, Eda, 2021. "Optimizing onboard catering loading locations and plans for airlines," Omega, Elsevier, vol. 99(C).

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