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考虑订单式生产不存在初始库存和产品需求不确定,建立起以产能最大收益(包括销售利润,产能折现值和购买产能费用或出售产能收入)为目标函数,当期产能为决策变量的产能决策模型.接着,结合产品经历一个逐渐增长至最高水平后逐步下降的生命周期,通过利用费马定理(稳定点)和极值第二充分条件对产能决策模型的分析,证明了该模型为凸函数,并给出了产品需求随机单调递增后递减的最优产能决策数学表达式.最后通过数值实例验证了该模型的有效性.
Considering that there is no initial inventory and uncertain product demand in order-based production, the objective is to set the maximum yield of production capacity (including sales profit, discounted production value, purchased production capacity, or sales of production capacity) as the objective function, and the current production capacity is the decision-making capacity decision. The model. Then, combined with the product’s life cycle that gradually decreases to a maximum level and gradually decreases, the analysis of the capacity decision model by using Fermat’s theorem (stabilization point) and extreme second sufficient conditions proves that the model is a convex function. , and gives the optimal production capacity decision mathematical expression that the product demand decreases randomly and monotonely. Finally, numerical examples are used to verify the effectiveness of the model.