A Single-Period Production Lot-Size Model With Fuzzy Demand

In real word life, there exist abundant uncertainty problems. It is no doubt that hankering for the minimum economic cost or the maximum economic profit is an unfailing loyalty for any competitor. As a decision maker, There is no choice but to be pressurized into facing these uncertainties which can be found everywhere in the production and stock management. The most familiar is fuzzy market demand.This thesis focuses on how to choose the optimal Production Lot-Sizing(PLS) under the cases of fuzzy market demand. That is, our major consideration is a single-period Production lot-Sizing model with fuzzy demand. Historical and statistical data become obsolete or do not exist is its distinct character. Not stochastic but fuzzy theory is more effective in solving it.After weighing the production cost, shortage cost, discount cost and storage cost, we developed a single-period optimal Production Lot-Sizing model with fuzzy demand by means of the fuzzy technology. Then, a optimal solution-a minimum-costs-orientated optimal Production Lot-Sizing quantity, is constructed by applying some related theories of fuzzy number's membership function,λ-cut sets and ranking method based on integral value index. Finally, some applied examples are present to illustrate the usage of the result.It is possibility but not probability that the optimal Production lot-Sizing(PLS) model emphasizes. The methodology developed in this paper is especially effective on the cases, which are lack of historical and statistical data. This shows its extensive practicability and wide applications in solving real world problem.