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A Note on the Convexity of Service-Level Measures of the (r, q) System

Hongtao Zhang

Management Science · 1998 · Volume 44 · Issue 3

DOI: 10.1287/mnsc.44.3.431

Abstract

This note gives a simple proof that in a ( 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 .

Keywords

Convexity, Convex, Inventory, Backorders, Stockouts

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