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Original Articles

A viable alternative to the ‘method of stages’ solution of series production systems with Erlang service times

Pages 699-702 | Received 29 Sep 1975, Published online: 16 May 2007
 

Abstract

The mean production rate of a series production system with identical Erlang stations is obtained by solving an integral equation formulated by Muth. In this method, one needs to solvE only k simultaneous equations rathor than the k(k + 1) (k + 3) equations generated by the ‘ method of stages ’ approach. As such, it is much more feasible computationally for realistic systems with large Erlang parameters (k). Results are reported for values of k up to 25.

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