Author:
Alkaff Abdullah,Muth Eginhard J.
Abstract
A serial production line with an arbitrary number of stations is analyzed using the holding-time model. In contrast to Markovian state models, the holding-time model does not require the service times to be exponentially distributed. The distribution of the interdemand time at the first station is obtained as a function of the distribution of station service times which are of a general nature. The throughput rate of the line is the reciprocal of the mean interdemand time. For service times of phase type, two numerical solution methods, one exact and the other approximate, are presented. Numerical results are given for up to ten stations.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Reference7 articles.
1. A use of complex probabilities in the theory of stochastic processes;Cox;Proc.,1955
2. 1. Alkaff A. (1985). The throughput rate of multistation production lines. Doctoral dissertation, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL.
3. Stochastic processes and their network representations associated with a production line queuing model
4. Three stage tandem queue with blocking
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