The bowl phenomenon revisited

Eginhard J. Muth · Abdullah Alkaff

51 citations0/0 files storedInternational Journal of Production Research

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Advanced Queuing Theory Analysis Management and Optimization Techniques Assembly Line Balancing Optimization

Abstract

A novel method of analysing serial production lines has been developed. This method lets one compute the throughput rate of lines composed of dissimilar stations, as well as for a large class of distributions of station service times. Several distribution-free models of 3-station lines are presented. These models are used to compute the throughput rate of unbalanced lines in which the sum of the mean service times is constant. Results are shown as contour plots of constant throughput rate. The bowl phenomenon is reviewed in the light of this capacity to model with a greater degree of freedom.

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References

2017Journal of Industrial Engineering 1979The Reversibility Property of Production Lines 1973The production rate of a series of work stations with variable service times∗1976A generalization of the ‘bowl phenomenon’ in series production systems 1972A note on the operating characteristics of‘ balanced’ and ‘ unbalanced’ production flow lines 1975Two-Stage Production Systems with Intermediate Storage 1984Stochastic processes and their network representations associated with a production line queuing model

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2005Simultaneous optimization of work and buffer space in unpaced production lines with random processing times 1993Optimal Allocation of Work in Assembly Systems 1987The throughput rate of three-station production lines: a unifying solution 2005On the workload and ‘phaseload’ allocation problems of short reliable production lines with finite buffers 1996An analytic formula for the mean throughput of K-station production lines with no intermediate buffers 2000The multiple server effect: Optimal allocation of servers to stations with different service‐time distributions in tandem queueing networks

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