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A probabilistic quality of service constraint for a location model of switches in ATM communications networks

Author

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  • Vladimir Marianov
  • Miguel Ríos

Abstract

We formulate a model for the optimal location of switches in ATM communications networks. The networks are designed in such a way that, at their arrival to the switches, ATM cells find free space in a buffer of length b, with a probability α. The model avoids the impairment to the communication caused by both cell loss (because of shorter buffers) and cell-delay variations (because of longer buffers). It is also shown how to transform a non-linear, probabilistic, constraint into a linear form. Computational experience is provided for the model. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Vladimir Marianov & Miguel Ríos, 2000. "A probabilistic quality of service constraint for a location model of switches in ATM communications networks," Annals of Operations Research, Springer, vol. 96(1), pages 237-243, November.
    • Handle: RePEc:spr:annopr:v:96:y:2000:i:1:p:237-243:10.1023/a:1018955603355
    DOI: 10.1023/A:1018955603355
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    Cited by:

    1. Boffey, Brian & Galvao, Roberto & Espejo, Luis, 2007. "A review of congestion models in the location of facilities with immobile servers," European Journal of Operational Research, Elsevier, vol. 178(3), pages 643-662, May.
    2. Yang, Woosuk, 2018. "A user-choice model for locating congested fast charging stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 189-213.
    3. Robert Aboolian & Oded Berman & Zvi Drezner, 2009. "The multiple server center location problem," Annals of Operations Research, Springer, vol. 167(1), pages 337-352, March.
    4. Qian Wang & Rajan Batta & Christopher M. Rump, 2004. "Facility location models for immobile servers with stochastic demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(1), pages 137-152, February.
    5. O Berman & Z Drezner, 2007. "The multiple server location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 91-99, January.
    6. Hossein Abouee-Mehrizi & Sahar Babri & Oded Berman & Hassan Shavandi, 2011. "Optimizing capacity, pricing and location decisions on a congested network with balking," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(2), pages 233-255, October.
    7. Robert Aboolian & Oded Berman & Dmitry Krass, 2012. "Profit Maximizing Distributed Service System Design with Congestion and Elastic Demand," Transportation Science, INFORMS, vol. 46(2), pages 247-261, May.
    8. Hoseinpour, Pooya & Ahmadi-Javid, Amir, 2016. "A profit-maximization location-capacity model for designing a service system with risk of service interruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 113-134.

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