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Bernoulli策略下具有可变休假速率的库存系统研究

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本文提出短时休假、长时休假的概念,研究Bernoulli策略下具有可变休假速率、延迟休假和(s,S)补货策略的库存系统.当系统库存为空时,系统以概率1-q进入短时休假,以概率q进入一段延迟休假,若在延迟休假期间补货成功,则恢复正常工作,否则进入长时休假.利用Markov过程相关理论对该系统进行稳态分析,得到该系统的稳态分布和系统平均库存、平均顾客损失率等性能指标.此外,我们分析了模型的特例,利用遗传算法,获得了系统最优库存策略,通过数值算例,说明了系统参数对稳态性能指标和费用函数的影响.
Research on Inventory System with Variable Vacation Rate Under Bernoulli Policy
This article proposes the concepts of short-term vacation and long-term vacation,and studies inventory systems with variable vacation rates,delayed vacation,and(s,S)replenishment strategies under the Bernoulli policy.When the system inventory is empty,the system enters a short-term vacation with a probability of 1-q,and a delayed vacation with a probability of q.If replenishment is successful during the delayed vacation period,normal operations resume;otherwise,the system enters a long-term vacation.The article utilizes Markov process theory to conduct a steady-state analysis of the system,obtaining the steady-state distribution and performance indicators such as average inventory levels and average customer loss rates.Additionally,special cases of the model are analyzed,and the optimal inventory strategy of the system is determined using a genetic algorithm.Numerical examples are provided to illustrate the impact of system parameters on steady-state performance indicators and cost functions.

Inventory systemDelayed vacationVariable vacation rate(s,S)policyMarkov process

廖昌裕、李建军、刘力维

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南京理工大学数学与统计学院,江苏南京 210094

库存系统 延迟休假 可变休假速率 (s,S)策略 Markov过程

2025

应用数学
华中科技大学

应用数学

北大核心
影响因子:0.234
ISSN:1001-9847
年,卷(期):2025.38(1)