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Title: Performance analysis of queue length monitoring of M/G/1 systems
Authors: Chen, N. 
Yuan, Y.
Zhou, S.
Keywords: average run length
M/G/1 queueing models
Markov chain
queue length
statistical monitoring
Issue Date: Dec-2011
Source: Chen, N., Yuan, Y., Zhou, S. (2011-12). Performance analysis of queue length monitoring of M/G/1 systems. Naval Research Logistics 58 (8) : 782-794. ScholarBank@NUS Repository.
Abstract: This study investigates the statistical process control application for monitoring queue length data in M/G/1 systems. Specifically, we studied the average run length (ARL) characteristics of two different control charts for detecting changes in system utilization. First, the nL chart monitors the sums of successive queue length samples by subgrouping individual observations with sample size n. Next is the individual chart with a warning zone whose control scheme is specified by two pairs of parameters, (upper control limit, d u) and (lower control limit, dl), as proposed by Bhat and Rao (Oper Res 20 (1972) 955-966). We will present approaches to calculate ARL for the two types of control charts using the Markov chain formulation and also investigate the effects of parameters of the control charts to provide useful design guidelines for better performance. Extensive numerical results are included for illustration. © 2011 Wiley Periodicals, Inc.
Source Title: Naval Research Logistics
ISSN: 0894069X
DOI: 10.1002/nav.20483
Appears in Collections:Staff Publications

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