On finite capacity queueing systems with a general vacation policy. (2000)

• Record Type: Journal Article
• Authors: Loris-Teghem, Jacqueline
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 4(2000)
• Page Start: 411
• Page End: 414
• Publication Date: 2000
• Subjects: finite capacity queue -- general vacation policy -- queue length; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000344
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We consider a Poisson arrival queueing system with finite capacity and a general vacation policy as described in Loris-Teghem [ Queueing Systems 3 (1988), 41-52]. From our previous results regarding the stationary queue length distributions immediately after a departure and at an arbitrary epoch, we derive a relation between both distributions which extends a result given in Frey and Takahashi [ Operations Research Letters 21 (1997), 95-100] for the particular case of an exhaustive service multiple vacation policy.