Sojourn Time Distributions for $M / M / c$ G-Queue
Commun. Korean Math. Soc. 1998 Vol. 13, No. 2, 405-434
Yang Woo Shin
Changwon National University
Abstract : We consider an $M/M/c$ queue with two types of customers, positive customers and negative customers. Positive customers are ordinary ones who upon arrival, join a queue with the intention of getting served and each arrival of negative customer removes a positive customer in the system, if any presents, and then is disappeared immediately. The Laplace-Stieltjes transforms (LST's) of the sojourn time distributions of a tagged customer, joinly with the probability that the tagged customer completes his service without being removed are derived under the combinations of various service disciplines; FCFS, LCFS and PS and removal strategies; RCE, RCH and RCR.
Keywords : negative customers, multiple servers, service disciplines, removal strategies, sojourn times
MSC numbers : Primary 60K25
Downloads: Full-text PDF  


Copyright © Korean Mathematical Society.
(Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd