两类顾客的生产服务库存模型的稳态分析及最优生产策略

常思琳,岳德权,张玉英

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (11) : 2093-2107.

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系统科学与数学 ›› 2020, Vol. 40 ›› Issue (11) : 2093-2107. DOI: 10.12341/jssms14021
论文

两类顾客的生产服务库存模型的稳态分析及最优生产策略

    常思琳1,岳德权1,张玉英2
作者信息 +

Steady State Analysis and Optimal Production Policiy of Production Inventory System with Two Classes of Customers

    CHANG Silin1 ,YUE Dequan1 ,ZHANG Yuying2
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文章历史 +

摘要

文章研究了两个生产车间和两类顾客的生产服务库存系统. 首先, 利用拟生灭过程理论得到稳态概率的矩阵几何解. 在此基础上, 进一步得到了系统的一些性能指标和费用函数. 其次, 通过数值算例研究一些系统参数对性能指标的影响. 最后, 通过遗传算法分析了模型的最优\;(s,S) 库存策略和最优费用.

Abstract

This paper studies the production inventory system with two classes of customers under two production workshops and positive service time. Firstly, using the theory of quasi-birth-and-death process, the matrix geometric solution of the steady-state probability vector is derived. On this basis, the steady state performance measures and the cost function of the system are obtained. Secondly, numerical examples are used to investigate the influence of the parameters on system performance measures. Finally, the optimal production inventory policy and the optimal cost of the system are given by a genetic algorithm.

关键词

生产库存系统 / 排队系统 / 两类顾客 / $(s / S)$ 策略 / 遗传算法.

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常思琳 , 岳德权 , 张玉英. 两类顾客的生产服务库存模型的稳态分析及最优生产策略. 系统科学与数学, 2020, 40(11): 2093-2107. https://doi.org/10.12341/jssms14021
CHANG Silin , YUE Dequan1 , ZHANG Yuying. Steady State Analysis and Optimal Production Policiy of Production Inventory System with Two Classes of Customers. Journal of Systems Science and Mathematical Sciences, 2020, 40(11): 2093-2107 https://doi.org/10.12341/jssms14021
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