A note on the convexity of service-level measures of the (r, q) system

A note on the convexity of service-level measures of the (r, q) system

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Article ID: iaor19991081
Country: United States
Volume: 44
Issue: 3
Start Page Number: 431
End Page Number: 432
Publication Date: Mar 1998
Journal: Management Science
Authors:
Keywords: stochastic processes
Abstract:

This note gives a simple proof that in an (r, q) system the average outstanding backorders and the average stockouts per unit time are jointly convex in the two control variables q and r.

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