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Optimal inventory policies for an economic order quantity models under various cost functions.

机译：各种成本函数下经济订单数量模型的最优库存策略。

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In this dissertation, three EOQ based inventory models under total cost minimization via geometric programming (GP) techniques are established and analyzed. Through GP, an optimal order quantity for each of these models is found and sensitivity analysis is performed to investigate the effects of percentage changes in the primal objective function coefficients. We also develop and analyze three EOQ based inventory models under profit maximization. The optimal order quantity and price for each of the maximization models is found considering production (lot sizing) as well as marketing (pricing) decisions via GP. Managerial implications of the optimal policy are determined through bounding and sensitivity analysis.; An investigation of the effects of the changes in the optimal solutions according to varied parameters is conducted by studying optimality conditions as well as by performing numerical analysis. A comparative analysis between the total cost minimization models is conducted as well as a comparative analysis between the profit maximization models and the cost minimization models to the profit maximization models. By investigating the error in the optimal solutions of these models, several interesting economic implications and managerial insights are observed.

机译：本文建立并分析了通过几何规划（GP）技术实现总成本最小化的三种基于EOQ的库存模型。通过GP，可以找到这些模型中每个模型的最佳订购量，并进行敏感性分析以调查原始目标函数系数的百分比变化的影响。在利润最大化的情况下，我们还开发和分析了三种基于EOQ的库存模型。考虑到通过GP进行的生产（批量确定）和营销（定价）决策，可以找到每个最大化模型的最佳订单数量和价格。最优政策的管理含义是通过边界和敏感性分析确定的。通过研究最优性条件以及进行数值分析，对根据各种参数的最优解变化的影响进行了研究。进行了总成本最小化模型之间的比较分析，以及利润最大化模型和利润最小化模型的成本最小化模型之间的比较分析。通过调查这些模型的最佳解决方案中的错误，可以观察到一些有趣的经济含义和管理洞察力。

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作者
Jung, Hoon.;
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作者单位

University of Missouri - Columbia.;

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授予单位 University of Missouri - Columbia.;
学科 Engineering Industrial.
学位 Ph.D.
年度 2001
页码 202 p.
总页数 202
原文格式 PDF
正文语种 eng
中图分类一般工业技术;
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2. The optimal inventory policies for the economic order quantity (EOQ) model under conditions of two levels of trade credit and two warehouses in a supply chain system [J] . Shy-Der Lin, Kun-Jen Chung African Journal of Business Management . 2012,第26期

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3. Optimal Ordering Policy for Inventory Systems with Quantity-Dependent Setup Costs [J] . He Shuangchi, Yao Dacheng, Zhang Hanqin Mathematics of operations research . 2017,第4期

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4. Optimal Inventory Policies for an Economic Order Quantity Model with Decreasing Cost Functions [C] . Hoon Jung, Cerry M. Klein Institute of Industrial Engineers Annual Conference . 2003

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5. THE EFFECTS OF AN INCOME TAX STRUCTURE WHICH PERMITS LAST-IN, FIRST-OUT INVENTORY COSTING ON THE ECONOMIC ORDER QUANTITY INVENTORY POLICY: ANALYSIS AND PUBLIC POLICY IMPLICATIONS. [D] . HALPERIN, ROBERT MAYER. 1977

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Optimal inventory policies for an economic order quantity models under various cost functions.

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