Approximate sojourn time distribution of a discriminatory processor sharing queue with impatient customers

Sunggon Kim ()
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Sunggon Kim: University of Seoul

Mathematical Methods of Operations Research, 2018, vol. 87, issue 3, No 4, 430 pages

Abstract: Abstract We consider a two-class processor sharing queueing system scheduled by the discriminatory processor sharing discipline. Poisson arrivals of customers and exponential amounts of service requirements are assumed. At any moment of being served, a customer can leave the system without completion of its service. In the asymptotic regime, where the ratio of the time scales of the two-class customers is infinite, we obtain the conditional sojourn time distribution of each class customers. Numerical experiments show that the time scale decomposition approach developed in this paper gives a good approximation to the conditional sojourn time distribution as well as the expectation of it.

Keywords: Discriminatory processor sharing; Impatient customers; Sojourn time distribution; Time scale decomposition method (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00186-017-0623-z

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