A multi-criteria decision-making approach to solve the product mix problem with interval parameters based on the theory of constraints

作者：Badri Seyed Amin^*; Ghazanfari Mehdi; Shahanaghi Kamran

来源：International Journal of Advanced Manufacturing Technology, 2014, 70(5-8): 1073-1080.

DOI：10.1007/s00170-013-5360-8

• Theory of constraints
• Product mix problem
• Interval parameters
• Multi-criteria decision-making
• Interval TOPSIS

The product mix problem is one of the most important problems in production systems. Several algorithms to determine the product mix under the theory of constraints have been developed. Most of the previous works focused on one bottleneck (dominant bottleneck) and considered the product mix problem with exact data. In this paper, all bottlenecks are used in order to determine the aggregated priority of each product, and a multi-criteria decision-making approach is proposed for product mix problem with interval parameters. The proposed approach involves bottlenecks identification, determination of the production priority and the weights vector of bottlenecks, application of interval TOPSIS to calculate the aggregated priority of each product, and use of reducing and increasing process to improve the production plan. At the end, a numerical example is presented to illustrate the procedure of the proposed approach. The results obtained from the computational study have shown that the proposed algorithm is an effective approach to solve the product mix problem.

• 出版日期2014-2