A bulk queueing system under N-policy with bilevel service delay discipline and start-up time. (1993)

• Record Type: Journal Article
• Authors: Muh Muh, David C. R. David C. R.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 4(1993)
• Page Start: 359
• Page End: 384
• Publication Date: 1993
• Subjects: embedded queueing process -- N-policy -- bulk arrival -- bilevel service delay discipline -- start-up time -- transition probability matrix; 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/S1048953393000309
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The author studies the queueing process in a single-server, bulk arrival and batch service queueing system with a compound Poisson input, bilevel service delay discipline, start-up time, and a fixed accumulation level with control operating policy. It is assumed that when the queue length falls below a predefined level r ( ≥ 1 ), the system, with server capacity R, immediately stops service until the queue length reaches or exceeds the second predefined accumulation level N ( ≥ r ) . Two cases, with N ≤ R and N ≥ R, are studied. The author finds explicitly the probability generating function of the stationary distribution of the queueing process and gives numerical examples.