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The integer EOQ repair and waste disposal model—further analysis. (English) Zbl 0981.90064

Summary: 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 independent 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.

MSC:

90C90 Applications of mathematical programming
90B30 Production models
90B25 Reliability, availability, maintenance, inspection in operations research
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