- مبلغ: ۸۶,۰۰۰ تومان
- مبلغ: ۹۱,۰۰۰ تومان
We consider a supply chain problem with simultaneous supplier selection and order allocation for multiple products. The suppliers oer quantity and business volume discounts, and they are subject to failure. The buyer aims at minimizing total expected costs. We consider both all-units and incremental quantity discounts and nd optimal solutions through mixed-integer linear programming. We discuss the tradeo between economies of scale and failure risk and show the cost reduction of our exact approach compared to a previously proposed heuristic.
We considered the problem of simultaneous supplier selection and order allocation under quantity and business volume discounts and supplier failure risk. We formulated a mixedinteger linear program that solves realistic problem sizes. Considering the results of a previously published heuristic, we showed potential for improvement and derived the optimal solutions. In a numerical study, we further gained insights into the sensitivity of the optimal decisions with respect to input parameters as, e.g., penalty costs, failure probabilities, or the number of discount levels. We studied changes in total expected costs and expected total penalty costs and analyzed the trade-o between economies of scale and failure risk, nding dierent supplier selection strategies for an increasing risk. There are several approaches one might wish to consider for further research. One is to extend the problem at hand and include multiple time periods. Another idea would be to extend the problem to random demand. As we consider a risk-neutral decision maker, another interesting research task would be to incorporate the decision maker's attitude towards risk.