An economic order quantity model of imperfect quality items with partial backlogging

作者：Roy Monami Das^*; Sana Shib Sankar; Chaudhuri Kripasindhu

来源：International Journal of Systems Science, 2011, 42(8): 1409-1419.

DOI：10.1080/00207720903576498

• imperfect quality
• partially back ordered
• screening cost
• back ordering cost
• lost sale cost

This article deals with an economic order quantity (EOQ) model in which a certain percentage of a lotsize is of imperfect quality products. This percentage follows a uniform distribution function. During the inspection of the total lot-size, a stock-out situation may occur. In a stock-out situation, a partial fraction of the demand is adjusted by partial back ordering and the rest of the demand is considered as a case of lost sales. The associated integrated expected profit function is generalised for the general distribution function of imperfect quality products. Then the objective function is maximised. Also, three special cases of the general model are studied. A suitable numerical example is provided to illustrate the model and the solution procedure. Comparison between the general and special cases are also shown with the help of numerical examples. Sensitivity analysis of the optimal solutions with respect to all individual parameters of the general model is carried out.

• 出版日期2011