Sequential stability of the constant cost dynamic lot size model: Searching for monotonicity

Sequential stability of the constant cost dynamic lot size model: Searching for monotonicity

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Article ID: iaor19951987
Country: Germany
Volume: 15
Issue: 4
Start Page Number: 197
End Page Number: 203
Publication Date: Jun 1994
Journal: OR Spektrum
Authors: ,
Keywords: programming: dynamic
Abstract:

The set of cost inputs for which an optimal solution of the dynamic lot size model remains valid is called stability region. The size of this region may be viewed as a measure of robustness of a solution. It is an expectation that the stability regions shrink with growing time horizons and that they are monotonous in this sense. In the present paper several sufficient conditions implying monotonicity will be studied. The conditions cover the existence of planning and forecast horizons and generalize the results of a previous paper in which monotonicity results were presented for the case of ordinary planning horizons.

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