The integer EOQ repair and waste disposal model – further analysis

The integer EOQ repair and waste disposal model – further analysis

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Article ID: iaor2009172
Country: Germany
Volume: 8
Issue: 2
Start Page Number: 173
End Page Number: 194
Publication Date: Jun 2000
Journal: Central European Journal of Operations Research
Authors: ,
Keywords: economic order, waste management, remanufacturing
Abstract:

In this paper the analysis of the EOQ repair and waste disposal model with integer set-up numbers n and m for production and repair within some collection time interval is continued. The properties of this problem which have been sketched in earlier papers, are proved now. Firstly, conditions for some auxiliary fractional program, which is of its own interest, to be a quasi-convex program and to have optimal integer solutions at the boundary of the feasible region are analysed. Secondly, these conditions are used to determine the optimal integer solution and the minimum cost for the repair and waste disposal model for a wide class of model inputs. Thirdly, it is shown that the minimum cost is a partly piecewise convex, partly piecewise concave function of the waste disposal rate.

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