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Multichannel queuing systems with balking and regenerative input fl ow

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  • Tkachenko Andrey

    ()
    (National Research University Higher School of Economics (Moscow, Russia) Industrial and Market Studies. The Researcher)

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    Abstract

    Motivated by the application to telephone call centers this paper is focused on the multichannel queueing system with heterogeneous servers, regenerative input ow and balking. Servers times are random variables but not necessary exponential. If a new customer encountering j other customers in the system then it stays for service with probability fj and gets rejection with probability 1 ?? fj . For such a system an ergodicity condition is established and functional heavy trac limit theorems are proved under critically loaded ( " 1) and overloaded conditions (  1)

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    File URL: http://www.hse.ru/data/2013/07/23/1288606025/14STI2013.pdf
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    Bibliographic Info

    Paper provided by National Research University Higher School of Economics in its series HSE Working papers with number WP BRP 14/STI/2013.

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    Length: 19 pages
    Date of creation: 2013
    Date of revision:
    Publication status: Published in WP BRP Series: Science, Technology and Innovation / STI, July 2013, pages 1-19
    Handle: RePEc:hig:wpaper:wpbrp14sti2013

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    Related research

    Keywords: multichannel queueing system; regenerative input ow; ergodicity; heavy trac limits; balking; reneging.;

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    1. Nam Boots & Henk Tijms, 1999. "AnM/M/c queue with impatient customers," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 7(2), pages 213-220, December.
    2. Rouba Ibrahim & Ward Whitt, 2009. "Real-Time Delay Estimation in Overloaded Multiserver Queues with Abandonments," Management Science, INFORMS, vol. 55(10), pages 1729-1742, October.
    3. Ward Whitt, 2005. "Engineering Solution of a Basic Call-Center Model," Management Science, INFORMS, vol. 51(2), pages 221-235, February.
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