Proposed Fuzzy Revised Theory of Constraints Algorithm for Product Mix Problems with Fuzzy Capacity and Demand

Abstract

Identification and determination of products and their quantities according to available resources are called Product Mix Problem in manufacturing plants. There are many methods for solving these problems. One of these methods is Theory of Constraints which is easy to use and understand. But unfortunately, it can’t solve multi bottleneck problems, so it doesn’t have sufficient efficiency when introduce new product. Consequently Revised Theory of constraints was proposed to solve these problems. This is one of the best methods that provide the same results as ILP in most of the cases. But in this algorithm all parameters are certainty. However, in the real-world, such parameters like capacity and demands are uncertainty. In this situation, fuzzy set theory can be used as an effective tool. So In this paper, an algorithm based on RTOC and fuzzy logic is proposed for solving Product Mix Problems with fuzzy capacity and fuzzy demand. This algorithm is more flexible and popularized than other methods which arc used for solving fuzzy product mix problems.

Keywords

• revised theory of constraints (rtoc)
• product mix
• fuzzy capacity
• fuzzy demand