An evolutionary algorithm for supplier order allocation with fuzzy parameters considering linear and volume discount

作者：Neyestani M Soufi; Jolai F^*; Golmakani H R

来源：Scientia Iranica, 2015, 22(3): 1130-1141.

• Multi-period multi-product supplier order allocation
• Linear discount
• Volume discount
• Jimenez method
• PSO
• GA

In this research, the supplier order allocation problem is investigated. The problem is when one buyer wants to allocate required products to pre-selected suppliers. Allocation is considered under some constraints, such as capacity, delivery rate, linear discount and volume discount. Objectives of the model are towards maximizing the total value of purchases, minimizing the total cost of purchases and minimizing the total number of defective products purchased. We propose a Multi-Objective Mixed Integer Non-Linear (MOMINL) model for multi-period supplier order allocation in situations where suppliers offer discounts. In practice, some information, such as buyer demand and supplier delivery rate, is uncertain, so, fuzzy sets are applied to handle uncertainty. Since PSO and GA are the most effective methods for finding a good solution to a difficult Multi-Objective Problem (MOP), a multi-objective optimization algorithm, based on PSO and GA (MOPSOGA), is developed to solve the model and give a set of Pareto optimal solutions. The efficiency of the Pareto Archive obtained from the algorithm is evaluated based on spacing and diversity metrics.

• 出版日期2015-6