Optimal Aggregate Production Planning with Fuzzy Data

This paper investigates the optimization problem of multi-product aggregate production planning (APP) with fuzzy data. From a comprehensive viewpoint of conserving the fuzziness of input information, this paper proposes a method that can completely describe the membership function of the performance measure. The idea is based on the well-known Zadeh’s extension principle which plays an important role in fuzzy theory. In the proposed solution procedure, a pair of mathematical programs parameterized by possibility level α is formulated to calculate the bounds of the optimal performance measure at α . Then the membership function of the optimal performance measure is constructed by enumerating different values of α . Solutions obtained from the proposed method contain more information, and can offer more chance to achieve the feasible disaggregate plan. This is helpful to the decision-maker in practical applications. Keywords—fuzzy data, aggregate production planning, membership function, parametric programming