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Transient analysis of a queue where potential customers are discouraged by queue length

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  • P. R. Parthasarathy
  • N. Selvaraju

Abstract

The transient solution is obtained analytically using continued fractions for a state-dependent birth-death queue in which potential customers are discouraged by the queue length. This queueing system is then compared with the well-known infinite server queueing system which has the same steady state solution as the model under consideration, whereas their transient solutions are different. A natural measure of speed of convergence of the mean number in the system to its stationarity is also computed.

Suggested Citation

  • P. R. Parthasarathy & N. Selvaraju, 2001. "Transient analysis of a queue where potential customers are discouraged by queue length," Mathematical Problems in Engineering, Hindawi, vol. 7, pages 1-22, January.
    • Handle: RePEc:hin:jnlmpe:907930
    DOI: 10.1155/S1024123X01001727
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    Cited by:

    1. Yacov Satin & Alexander Zeifman & Alexander Sipin & Sherif I. Ammar & Janos Sztrik, 2020. "On Probability Characteristics for a Class of Queueing Models with Impatient Customers," Mathematics, MDPI, vol. 8(4), pages 1-15, April.

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