TY - JOUR

T1 - Sequential stability of the constant cost dynamic lot size model-searching for monotonicity

AU - Richter, Knut

AU - Weber, Jens

PY - 1994/12/1

Y1 - 1994/12/1

N2 - 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 wich monotonicity results were presented for the case of ordinary planning horizons.

AB - 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 wich monotonicity results were presented for the case of ordinary planning horizons.

KW - dynamic programming

KW - Inventory

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=0010355072&partnerID=8YFLogxK

U2 - 10.1007/BF01719450

DO - 10.1007/BF01719450

M3 - Article

AN - SCOPUS:0010355072

VL - 15

SP - 197

EP - 203

JO - Operations-Research-Spektrum

JF - Operations-Research-Spektrum

SN - 0171-6468

IS - 4

ER -