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A Deterministic Inventory/Production Model with General Inventory Cost Rate Function and Concave Production Costs

Ilker Birbil, Hans Frenk and Pelin Bayindir

ERIM Report Series Research in Management from Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam

Abstract: We present a thorough analysis of the economic order quantity model with shortages under a general inventory cost rate function and concave production costs. By using some standard results from convex analysis, we show that the model exhibits a composite concave-convex structure. Consequently, an effective solution procedure, particularly useful for an approximation scheme, is proposed. A computational study is appended to illustrate the performance of the proposed solution procedure.

Keywords: Inventory; concave production cost; concave-convex programming; general inventory cost function (search for similar items in EconPapers)
JEL-codes: C6 M M11 R4 (search for similar items in EconPapers)
Date: 2004-08-30
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Citations: View citations in EconPapers (1)

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