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Multichannel queuing systems with balking and regenerative input fl ow

Listed author(s):
  • Tkachenko Andrey


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

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    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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    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
    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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    1. Wei Xiong & Tayfur Altiok, 2009. "An approximation for multi-server queues with deterministic reneging times," Annals of Operations Research, Springer, vol. 172(1), pages 143-151, November.
    2. Ward Whitt, 2005. "Engineering Solution of a Basic Call-Center Model," Management Science, INFORMS, vol. 51(2), pages 221-235, February.
    3. Nam Kyoo Boots & Henk Tijms, 1999. "A Multiserver Queueing System with Impatient Customers," Management Science, INFORMS, vol. 45(3), pages 444-448, March.
    4. Ger Koole & Avishai Mandelbaum, 2002. "Queueing Models of Call Centers: An Introduction," Annals of Operations Research, Springer, vol. 113(1), pages 41-59, July.
    5. J. G. Dai & Shuangchi He, 2010. "Customer Abandonment in Many-Server Queues," Mathematics of Operations Research, INFORMS, vol. 35(2), pages 347-362, May.
    6. 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.
    7. 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;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 213-220, December.
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