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Control charts for traffic intensity monitoring of Markovian multiserver queues
Author(s) -
Cruz Frederico R. B.,
Quinino Roberto C.,
Ho Linda L.
Publication year - 2020
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2578
Subject(s) - queueing theory , computer science , queue , traffic intensity , exponential distribution , markovian arrival process , real time computing , fork–join queue , markov process , control chart , monte carlo method , set (abstract data type) , computer network , process (computing) , queue management system , mathematics , statistics , operating system , programming language
A number of recent research studies have applied queueing theory as an approximate modeling tool to mathematically describe industrial systems, which include manufacturing, distribution, and service, for instance. Among the main observable characteristics in queues, the number of users in the system can be controlled to keep waiting times as minimal as possible. The design of efficient control charts is an attempt to monitor and control such systems. Control charts are proposed to monitor infinite queues with Markovian arrivals, exponential service times, and s identical parallel servers. The proposed charts monitor traffic intensities, which are the ratio between the arrival rate and the service rate, estimated through the number of users in the queueing system at random epochs. The effectiveness and efficiency of the proposed approaches in terms of the average run lengths are established by a comprehensive set of Monte Carlo simulations.