论文信息 - Exponential two server queue withN-policy and general vacations

Exponential two server queue withN-policy and general vacations

AnM/M/2 queueing system with vacations is studied in which two servers keep working until there are no customers, and then one of the two servers takes a vacation. The remaining server does not leave the system during the vacation, and keeps serving the arriving customers. The duration of vacation is general. We study both theN-policy multiple vacation model and the single vacation model. This paper is concerned with the determination of the stationary distribution of the number of customers in the systems, and their decomposition structures.

Nobuko Igaki

[1] U. Yechiali,et al. Utilization of idle time in an M/G/1 queueing system Management Science 22 , 1975 .

[2] B. Vinod,et al. Exponential Queues with Server Vacations , 1986 .

[3] Uri Yechiali,et al. AnM/M/s Queue with Servers''Vacations , 1976 .

[4] Erhan Çinlar,et al. Introduction to stochastic processes , 1974 .

[5] B. T. Doshi,et al. Queueing systems with vacations — A survey , 1986, Queueing Syst. Theory Appl..

[6] Robert B. Cooper,et al. Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations , 1985, Oper. Res..

[7] Offer Kella. The threshold policy in the M/G/1 queue with server vacations , 1989 .

[8] Mandyam M. Srinivasan,et al. Control policies for the M X /g/ 1 queueing system , 1989 .

[9] Marcel F. Neuts,et al. A Markovian Queue with N Servers Subject to Breakdowns and Repairs , 1979 .

[10] T. T. Soong,et al. Book Reviews : INTRODUCTION TO STOCHASTIC PROCESSES E. Cinlar Prentice-Hall, 1975 , 1979 .

[11] B. Avi-Itzhak,et al. A Many-Server Queue with Service Interruptions , 1968, Oper. Res..