Theory and methodology for the JELS model in one-vendor, multi-customer situations when costs are fuzzy and lot sizes deterministic

摘要

We consider a one-vendor, multi-customer integrated inventory model, in the presence of uncertainties in cost functions which can be characterized by fuzzy numbers. The vendor seeks to minimize his total annual cost subject to the maximum costs which buyers are prepared to incur. We find the optimal solution for the one-vendor, multi-customer case and develop a Joint Economic-Lot-Size (JELS) model in which the demand/production lot sizes are deterministic and the costs are fuzzy. The model is expressed in terms of L-R fuzzy. The methodology explains an effective way for a compromise to be made between the vendor and the customer at a common lot size with a certain amount of price adjustment.