Stationary Analysis of Infinite Server Queue with Batch Service

2021 ◽  
pp. 411-424
Author(s):  
Ayane Nakamura ◽  
Tuan Phung-Duc
Keyword(s):  
Batch Service ◽  
Infinite Server ◽  
Stationary Analysis ◽  
Server Queue

scholarly journals An infinite-server queue influenced by a semi-Markovian environment

2008 ◽  
Vol 61 (1) ◽  
pp. 65-84 ◽  
Author(s):  
Brian H. Fralix ◽  
Ivo J. B. F. Adan
Keyword(s):  
Markovian Environment ◽  
Infinite Server ◽  
Server Queue

Transient behavior of coverage processes by applications to the infinite-server queue

1993 ◽  
Vol 30 (3) ◽  
pp. 589-601 ◽  
Author(s):  
Sid Browne ◽  
J. Michael Steele
Keyword(s):  
Line Segment ◽  
Busy Period ◽  
Queueing System ◽  
Transient Behavior ◽  
Infinite Server ◽  
Coverage Process ◽  
Server Queue

We obtain the distribution of the length of a clump in a coverage process where the first line segment of a clump has a distribution that differs from the remaining segments of the clump. This result allows us to provide the distribution of the busy period in an M/G/∞ queueing system with exceptional first service, and applications are considered. The result also provides the tool necessary to analyze the transient behavior of an ordinary coverage process, namely the depletion time of the ordinary M/G/∞ system.

An infinite-server queue subject to an extraneous phase process and related models

1981 ◽  
Vol 18 (1) ◽  
pp. 236-244 ◽  
Author(s):  
P. Purdue ◽  
D. Linton
Keyword(s):  
Original System ◽  
Primary System ◽  
Secondary System ◽  
State Behavior ◽  
Infinite Server ◽  
Server Queue ◽  
Secondary Systems ◽  
Stage System ◽  
The Mean ◽  
Bulk Arrival

We consider an infinite-server queueing system in an extraneous environment. Initially it is shown that the systems of interest can be decomposed into a two-stage system. The primary system is an infinite-server queue with many customer types subject to a clearing mechanism. The secondary system is a special type of bulk-arrival, infinite-server queue. We derive results for the primary and secondary systems separately and combine the results to find the mean steady-state behavior of the original system.

Sign in / Sign up

Export Citation Format

Share Document