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Filtering Policies in Loss Queuing Network Location Problems

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  • Elena Fernández
  • Yolanda Hinojosa
  • Justo Puerto

Abstract

In this paper we deal with two stationary loss queuing network location models. We analyze the influence of filtering policies on the locational aspect of the problems. We assume that requests for service are placed at nodes of a transportation network and they arrive in time as independent homogeneous Poisson processes with different input rates. The considered policies only cover a given proportion of requests even if there are idle service units. This proportion is stationary and fixed in advance and only depends on the node where the request is originated. The objective is to find the location of the facilities together with the filtering policy to be applied that minimize the expected total cost per unit time with respect to a given cost structure. Properties and computational results are presented enabling the resolution of these problems efficiently and showing the good performance of filtering policies in terms of both the overall operating costs, and the demand that is served. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Elena Fernández & Yolanda Hinojosa & Justo Puerto, 2005. "Filtering Policies in Loss Queuing Network Location Problems," Annals of Operations Research, Springer, vol. 136(1), pages 259-283, April.
    • Handle: RePEc:spr:annopr:v:136:y:2005:i:1:p:259-283:10.1007/s10479-005-2048-y
    DOI: 10.1007/s10479-005-2048-y
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    1. Frenk, J.B.G. & Labbé, M. & Zhang, S., 1993. "A note on a stochastic location problem," Econometric Institute Research Papers 11643, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. E. Carrizosa & E. Conde & M. Muñoz-Márquez, 1998. "Admission Policies in Loss Queueing Models with Heterogeneous Arrivals," Management Science, INFORMS, vol. 44(3), pages 311-320, March.
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    4. Rajan Batta, 1988. "Single Server Queueing-Location Models with Rejection," Transportation Science, INFORMS, vol. 22(3), pages 209-216, August.
    5. Frenk, J. B. G. & Labbe, M. & Zhang, S., 1989. "A Note on a Stochastic Location Problem," Econometric Institute Archives 272382, Erasmus University Rotterdam.
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    Cited by:

    1. Albareda-Sambola, Maria & Fernández, Elena & Saldanha-da-Gama, Francisco, 2011. "The facility location problem with Bernoulli demands," Omega, Elsevier, vol. 39(3), pages 335-345, June.
    2. Haluk Eliş, 2017. "A finite dominating set of cardinality O(k) and a witness set of cardinality O(n) for 1.5D terrain guarding problem," Annals of Operations Research, Springer, vol. 254(1), pages 37-46, July.
    3. Bieniek, Milena, 2015. "A note on the facility location problem with stochastic demands," Omega, Elsevier, vol. 55(C), pages 53-60.

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    Keywords

    facility location; multichannel queues;

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