Sequential Arrays of Waiting Lines
- 1 December 1956
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 4 (6) , 674-683
- https://doi.org/10.1287/opre.4.6.674
Abstract
The problem considered in this paper is that in which a sequence of service operations must be performed on the units to be serviced. Poisson arrivals and exponential service times are assumed. Four particular cases of service facilities in series are treated, involving infinite storage space between stages, no storage space between stages, finite storage space between stages, and the case of the unpaced belt-production line. A comparison is given for two stages, and the maximum possible utilization is obtained for all cases discussed.Keywords
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