Stochastic lot-sizing model for deteriorating items under partial backlogging Online publication date: Sat, 27-Dec-2014
by Yang Tan; Michael X. Weng
International Journal of Services Operations and Informatics (IJSOI), Vol. 7, No. 1, 2012
Abstract: A finite horizon deteriorating inventory model is studied. The system is under periodic review and there is a positive fixed order cost associated with any placed order. Customer demand is stochastic and a constant fraction of any positive leftover stock is deteriorated at the end of each period. Any unsatisfied demand is partially backlogged and fulfilled immediately as a new order arrives. This research is distinguished from most literature by considering the effects of deterioration and partial backlogging under stochastic customer demand. The optimal conditions under which a (s, S) policy holds are successfully derived and the explicit order quantities are obtained by reformulating the problem as a stochastic programming model.
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