带变质及预防性补货的储备库存模型-数学专业论文.docx

摘要 摘要 万方数据 万方数据 摘 要 本文研究的是储备库存模型，在储备库存持续时段和供应链中断时市场需求 量随机的情况下，根据储备物资的特性：首先，通过分析建立了非变质物品的储 备库存模型，讨论并给出该模型求解最优解的算法；其次研究了变质性物品的储 备库存模型，并给出了求解该模型最优解的算法；最后，为了提高储备物主的利 润，降低库存成本，我们优化了变质性物品的储备库存模型，建立带有预防性补 货的储备库存模型。 第一章是绪论部分，介绍了库存管理问题、供应链中断模型，储备库存模型、 定期补货策略及其他一些预备知识，给出了本文的主要研究内容。 第二章，对非变质物品和变质物品的营利型储备库存，在储备库存持续时段 和供应链中断时市场需求量随机的情况下，通过极大化储备库存效益函数建立了 非变质物品及变质物品的储备库存模型。通过模型分析给出了求解算法，数值算 例及其分析验证了模型的有效性。 第三章，在储备库存持续时段和供应链中断时市场需求量随机的情况下，针 对变质物品的营利型储备库存，建立了带预防性补货的新储备库存模型。储备库 存物主为了减小物品带来的影响，采取了定期补货策略。在此思想下通过极大化 储备库存效益函数建立了新的储备库存模型。通过模型分析给出了问题最优解的 算法，最后，由数值算例分析得出各参数对储备库存水平决策的影响。 关键词：储备模型；供应链中断；随机需求量；非变质物品；变质物品；预防性 补货；指数变质率； I Ab Abstract Abstract This paper researches the reserve inventory model. We consider the situation under which both the reserve lasting time and the demand during supply chain disruptions are stochastic. Firstly, through the reserve inventory model, we establish a profit-push reserve inventory model with non-deteriorating items. We discuss and find out the optimal solution of the model. Then, we study a reserve inventory model with deteriorating items. Finally, we optimize the reserve inventory model of deteriorating items and establish a preventive replenishment reserve inventory model. The first chapter is the introduction, introduces the inventory management problem, supply interruption model, regular replenishment strategy and some preliminary knowledge, then introduces the main content of this paper. In the second chapter, for a profit-push reserve inventory model with non-deteriorating items and deteriorating items, we consider the situation under which both the reserve lasting time and the demand during supply chain disruptions are stochastic, and construct a new model through profit maximization. We provide the optimal solution by model analysis and verify the validity by numerical analysis. In the third chapter, we consider the situation under which both the reserve lasting time and the demand during supply chain disruptions are stochastic, for a profi