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

Nori Prakasa Rao

27 citations0/0 files storedInternational Journal of Production Research

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Advanced Queuing Theory Analysis Management and Optimization Techniques Scheduling and Optimization Algorithms

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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1960Queues, Inventories and Maintenance.1967Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach 1958Queues, Inventories, and Maintenance 1973The production rate of a series of work stations with variable service times∗1975Two-Stage Production Systems with Intermediate Storage

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1995A predictive model for the throughput of simple assembly systems 1994A PREDICTIVE MODEL FOR THE THROUGHPUT OF UNBALANCED, UNBUFFERED THREE-STATION SERIAL LINES

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