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The EPQ with partial backordering and phase-dependent backordering rate
Authors:David W. Pentico  Matthew J. Drake  Carl Toews
Affiliation:1. Palumbo-Donahue School of Business, Duquesne University, Pittsburgh, PA 15282, USA;2. Department of Mathematics and Computer Science, University of Puget Sound, Tacoma, WA 98416, USA
Abstract:In previous work we established a closed-form optimal stocking strategy for an EPQ model with partial backordering at a constant rate β. Here we extend this work to allow for the possibility that the percentage of demand backordered will increase when production starts again. We show how our previous model can be adapted to find the optimal decision variable values for this new assumption and develop the condition that the initial value of β must meet for partial backordering to be optimal.
Keywords:Inventory control   Production lot sizing   Partial backordering   Phase-dependent backordering rate
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