Author:
Langaris Christos,Conolly Brian
Abstract
An analysis is given of the first-come-first-served waiting-time process in stages 1 and 2 of a two-stage service system with k and n parallel service channels in the first and second stages respectively, and m intermediate waiting places (k, n ≧ 1, m ≧ 0).Although the method of analysis is straightforward the details are intricate and require careful study of the location of the zeros of a high-degree polynomial.The analysis paves the way for an extensive study of the numerical effect on waiting time of blocking in commonly encountered systems of this nature. ‘Effective service time' in stage 1, defined so as to include blocked time, is considered separately.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Two-Stage Production Systems with Intermediate Storage
2. Langaris C. and Conolly B. (1981) Sequential service systems with multiple facilities at each stage. Research Report 81/4, Chelsea College.
3. Conolly B. (1979) Two stage tandem queue with no waiting room between stages and correlated exponential service in both stages. Research Report 79/2, Chelsea College.
4. A Queueing Model with Finite Waiting Room and Blocking
5. On the mean production rate of a two-stage production system of the tandem type
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