Line reversibility of tandem queues with general blocking
Article Abstract:
The line reversibility property is extended to a serial production system controlled with the use of the general blocking plan. The control system possesses three vectors of integer parameters: control parameters for the number of raw jobs, finished jobs and buffer positions at each stage. The time to process a particular batch of jobs in a system is constant when the control parameters are in the opposite sequence. Semi-reversibility is introduced for every case where reversibility is not present. Results indicate the reversibility of the kanban system and offer another evidence to prior results determined for the communication and the manufacturing blockings. The simple process can be easily applied to closed systems where the number of jobs in the systems is unchanging.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1995
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Queues with slowly varying arrival and service processes
Article Abstract:
A single-server queuing system with a Markov chain controlling the arrival and service processes and which is characterized by transitions occurring at service epochs is analyzed to provide a recursive approach to the computation of the asymptotic increase in the steady state distribution in queue length where the Markov chain displays slow variance. The queuing system is a generalization of the M/G/1 queue in which arrival and service processes are controlled by the Markov chain. Using an approach based on decomposability, the stationary distribution of the queue length is determined.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1990
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A Fluid Flow Model of Networks of Queues
Article Abstract:
A technique for modeling flow through a network of queues is described. Flow is considered fluid flow as in engineering and a set of differential equations is then used. An example of claims processing in the Social Security Administration illustrates the power of this approach. Computational results are presented in tables.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1983
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