关键词: 订单式生产, 投产量, 产品合格率, 误差函数, 欧米加函数

Abstract: When the product pass rate is randomly distributed, we build up the decision-making model of quantity putting into production, which is with total loss (insufficient production and then putting into production again charges, excess output charges and unqualified handling charges) expected value as the objective function, quantity putting into production as the decision variables. We sdve the optimal solution of the model with uniform distribution or normal distribution, and obtain equation between production and cast production, which effectively guide the production plan. Finally, we use a numerical example to prove the model is valid.

Key words: make to order, quantity putting into prodution, pass rate of product, erf(x), LambertW(x)