Multiclass Production Systems with Setup Times

Rhonda Righter and J. George Shanthikumar
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Rhonda Righter: Santa Clara University, Santa Clara, California
J. George Shanthikumar: University of California, Berkeley, California

Operations Research, 1998, vol. 46, issue 3-supplement-3, S146-S153

Abstract: We consider polling systems with random setup times, and show that if setup times are reduced in the convex ordering sense, then waiting times, work loads, and queue sizes will be reduced in the usual stochastic sense. We also show that the joint distributions of various performance measures across time are invariant under shifts in setup times as long as the net shift is zero.

Keywords: Probability; stochastic model applications; effect of setups in production; production; applications; stochastic polling models; queues; applications; polling models in production (search for similar items in EconPapers)
Date: 1998
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