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Optimal Positioning of Service Units Along a Coordinate Line

Author

Listed:
  • Larry R. Anderson

    (Whitman College, Walla Walla, WA 99362)

  • Robert A. Fontenot

    (Whitman College, Walla Walla, WA 99362)

Abstract

In this article, we consider the optimal positioning of multiple servicing units along a coordinate line, under the assumption that demand for service occurs probabilistically at any point along the coordinate line. We show that, under very general circumstances, it is best for the servicing units to be stationary, and we provide an algorithm for finding these stationary positions.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:4:p:346-351
    DOI: 10.1287/trsc.26.4.346
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    Citations

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    Cited by:

    1. Kannan Viswanath & James Ward, 2010. "Stochastic Location-assignment on an Interval with Sequential Arrivals," Networks and Spatial Economics, Springer, vol. 10(3), pages 389-410, September.
    2. Vickson, R. G. & Lu, Xinjian, 1998. "Optimal product and server locations in one-dimensional storage racks," European Journal of Operational Research, Elsevier, vol. 105(1), pages 18-28, February.
    3. Yılmaz, Seren Bilge & Yücel, Eda, 2021. "Optimizing onboard catering loading locations and plans for airlines," Omega, Elsevier, vol. 99(C).
    4. Azcuy, Irecis & Agatz, Niels & Giesen, Ricardo, 2021. "Designing integrated urban delivery systems using public transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    5. Hall, Randolph W., 2002. "Incident dispatching, clearance and delay," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(1), pages 1-16, January.
    6. Parlar, Mahmut & Sharafali, Moosa & Ou, Jihong, 2006. "Optimal parking of idle elevators under myopic and state-dependent policies," European Journal of Operational Research, Elsevier, vol. 170(3), pages 863-886, May.
    7. 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.

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