Abstract: In queueing theory, a discipline within the mathematical theory of probability, a bulk queue is a general queueing model where jobs arrive in and/or are served in groups of random size. Queueing models characterized by bulk arrival or bulk service of either fixed or variable sizes are commonly found in modelling of traffic and transportation systems, complex computer and telecommunication systems, inventory replenishment system and other real-life applications. Control chart technique may be applied to analyse the waiting time of the customers in the system to improve the services and the effective performance of concerns.In this research article the construction of control chart using process capability for average system length is proposed and provides suitable tables with numerical results for M[x]/M/1 queueing systemwhen the batch sizefollows geometric distribution.
Keywords: Average run length, Exponential service time, Geometric distribution, Poisson arrival, Process capability.
Title: Construction of control chart using process capability for average system length in M[x]/M/1 Queueing system
Author: S.Poornima, N.Pukazhenthi
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
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