摘要
在随机需求下,对更新换代期的新老两代高科技产品的生产规模决策进行分析,引入新的参数———更新换代期结束时剩余产品的贴现率,建立了确定新老产品最优生产规模的决策模型,得到了生产规模的最优解方程式,进而对其进行数值分析,求得企业的最大总收益.采用生产规模决策模型对具体的算例进行了分析,发现新老两代产品的需求密度和贴现率能影响产品的最优生产规模.新、老产品的需求密度越大,则新、老产品的最优生产规模就越大.同样的需求密度下,新产品的最优生产规模明显大于老产品的生产规模.另外,贴现率越大,相应产品的最优生产规模越大.这与实际情况一致.
Introducing the new parameter-discount rate of the unsold products by the end of renewing process, this paper deals with the problem that how to determine the optimal output of the high-tech prod- ucts during the renewing process in which the first and second generation products are simultaneously produced under the assumption of stochastic demand. The optimal solution to the proposed model is given that maximizes the enterprise revenues. The numerical example shows that demand density and discount rate of two generations products can impact on the output of the enterprises. And the greater the demand density is, the greater the optimal output of two generations products is. Under the same demand density, the optimal output of the-second-generation products is greater than that of the-first-generation products. Moreover, the outputs of the first and second generation products are increasing as discount rate is increasing which is consistent with the reality.
出处
《系统工程学报》
CSCD
北大核心
2007年第3期262-267,共6页
Journal of Systems Engineering
基金
国家自然科学基金资助项目(70371019)
