The throughput rate of multistation production lines with stochastic servers

Abdullah Alkaff, Eginhard J. Muth

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)309-326
Number of pages18
JournalProbability in the Engineering and Informational Sciences
Issue number3
Publication statusPublished - Jul 1987


Dive into the research topics of 'The throughput rate of multistation production lines with stochastic servers'. Together they form a unique fingerprint.

Cite this