共查询到18条相似文献,搜索用时 187 毫秒
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陈修素 《数学的实践与认识》2002,32(4):549-553
在常数需求率以及有限生产率条件下研究了订货客户耐烦期相同的一类新的生产——库存模型 ,在每一个周期内考虑了延期交货时间超过耐烦期的短缺费用和销售机会损失等因素 ,给出了相应的最优生产时间和周期的确定方法 ,利用数学软件 Matlab及计算机为工具给出了数字例子进行说明 ,其方法和结果为库存系统的管理决策提供了理论依据 相似文献
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本文考虑了多种变质性物品在同一台设备上生产的最优基本生产周期问题。本文采用了基本周期法,给出了问题的数学模型,分析了模型最优解的存在性,并给出了求解该模型的算法和算例,从算例的结果说明基本周期法比公共周期法解决经济批量问题更优。 相似文献
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本文讨论了文[1]中串行生产线最优调度问题,给出了生产线生产周期的显示公式,对两个变量时最优调度的解的特性进行了研究. 相似文献
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本讨论了[1]中串行生产线最优调度问题,给出了生产线生产周期的显示公式,对两个变量时最优调度的解的特性进行了研究。 相似文献
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龚哲君 《数学的实践与认识》2006,36(1):55-61
变质性物品生产库存系统的研究具有重要实际意义.本文研究了变质性物品生产库存系统在上升趋势线性需求条件下,考虑资金的时间价值,在有限计划时间水平内,如何确定最优生产周期,各周期最优生产率,以及最优库存安排策略.通过本文的研究,得到了一些有用的结论. 相似文献
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为了更好地应对需求的不确定性,在需求实现之前,企业既可以生产成品直接满足需求,亦可生产部分半成品,在观察到实际需求之后短时间内迅速完成剩余生产环节以满足需求。未加工的半成品和未售出的成品可用于满足后续周期的需求。作为一种提高生产灵活性的手段,分阶段生产的方式会产生更高的成本。企业需要在成本和灵活性之间作出权衡,优化生产决策。模型通过动态规划的方法,研究需求不确定情况下考虑半成品库存的多周期生产决策问题,通过分析目标函数以及最优值函数的结构性质,推导出最优的多周期生产策略为修正的目标库存策略,并且分析了不同参数对最优策略的影响。 相似文献
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时值与增加量折扣并允许短缺的变质性物品的EOQ模型(英) 总被引:3,自引:0,他引:3
本文在考虑资金时值和增加量折扣的情形下,讨论了允许短缺的变质性物品在有限计划期内的经济批量问题,提供了寻求最优计货次数以及各次订货的最优批量和最优时刻的一个简单的一维方法,并出示了一个数字例子来说明本模型及其求解过程. 相似文献
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本文在考虑资金时值和增加量折扣的情形下,讨论了允许短缺的变质性物品在有限计划期内的经济批量问题,提供了寻求最优计货次数以及各次订货的最优批量和最优时刻的一个简单的一维方法,并出示了一个数字例子来说明本模型及其求解过程。 相似文献
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《Applied Mathematical Modelling》2014,38(9-10):2522-2532
In this paper, a multi-item inventory model for perishable items is developed, where the demand rates of the items are stock dependent, two-level trade credit is adopted and the restriction of inventory capacity is also considered. The major objective is to determine the optimal cycle time and order quantities such that the total profit is maximized. The existence and uniqueness of the optimal cycle is discussed by Lagrange approach, and line search algorithms are developed to find the optimal solution of the model. Furthermore, numerical examples are given to illustrate the methods. The sensitivity of the solution to changes in the values of different parameters is also discussed. 相似文献
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研究了豆腐作坊生产经营豆腐的最优决策问题.深入的实际调研表明:随着自然环境的改变、生产条件和市场资源的变化,豆腐作坊的净收益表现出不确定性.于是豆腐作坊的最优净收益就呈现出区间的特性.以豆腐作坊最优净收益为目标,首先建立了两大区间决策模型-改变生产规模的区间决策模型和不改变生产规模的区间决策模型.其次给出了有关区间决策的基本定理及求解方法.最后对实际问题进行了求解,从而为豆腐作坊提供了最优净收益的范围—区间,并对求得的结果进行了分析,说明所给的求解方法及所得结论是正确的. 相似文献
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An inventory model for non-instantaneous
deteriorating items with quadratic demand rate and shortages under trade credit policy 下载免费PDF全文
noindent In this paper, we propose an appropriate inventory model for non-instantaneous deteriorating items over quadratic demand rate with permissible delay in payments and time dependent deterioration rate. In this model, the completely backlogged shortages are allowed. In several existing results, the authors discussed that the deterioration rate is constant in each cycle. However, the deterioration rate of items are not constant in real world applications. Motivated by this fact, we consider that the items are deteriorated with respect to time. To minimize the total relevant inventory cost, we prove some useful theorems to illustrate the optimal solutions by finding an optimal cycle time with the necessary and enough conditions for the existence and uniqueness of the optimal solutions. Finally, we discuss the numerical instance and sensitivity of the proposed model. 相似文献
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Richard C. Stapleton Dan B. Hemmings Harry H. Scholefield 《The Journal of the Operational Research Society》1972,23(1):45-59
In this paper the effects of technical change on the optimal lives of assets are explored. The generality of the dynamic programming approach to the problem of optimal asset life determination is contrasted with the traditional and highly restrictive "equal life" solution. Some of the possible effects of different forms of technical change on costs are examined and numerical examples of these are solved by dynamic programming to illustrate the consequences for the optimal lives of assets. We hypothesize that the likely effect of technical progress is a lengthening of the optimal replacement cycle. 相似文献
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Jinn-Tsair Teng Hui-Ling Yang Maw-Sheng Chern 《Applied Mathematical Modelling》2013,37(14-15):7624-7632
During the growth stage of a product life cycle especially for high-tech products, the demand function increases with time. In this paper, we extend the constant demand to a linear non-decreasing demand function of time and incorporate a permissible delay in payment under two levels of trade credit into the model. The supplier offers a permissible delay linked to order quantity, and the retailer also provides a downstream trade credit period to its customers. The objective is to find the optimal replenishment cycle that minimizes the retailer’s annual total relevant cost per unit time. The condition for an optimal solution to the generalized model is presented and some fundamental theoretical results are established. Finally, numerical examples to illustrate the proposed model are provided. Sensitivity analysis is performed and some relevant managerial insights are obtained. 相似文献
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The main purpose of this paper is to investigate the retailer’s optimal cycle time and optimal payment time under the supplier’s cash discount and trade credit policy within the economic production quantity (EPQ) framework. In this paper, we assume that the retailer will provide a full trade credit to his/her good credit customers and request his/her bad credit customers pay for the items as soon as receiving them. Under this assumption, we model the retailer’s inventory system as a cost minimization problem to determine the retailer’s optimal inventory cycle time and optimal payment time under the replenishment rate is finite. Then, an algorithm is established to obtain the optimal strategy. Finally, numerical examples are given to illustrate the theoretical results and obtain some managerial phenomena. 相似文献
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This research addresses an optimal policy for production and procurement in a supply-chain system with multiple non-competing suppliers, a manufacturer and multiple non-identical buyers. The manufacturer procures raw materials from suppliers, converts them to finished products and ships the products to each buyer at a fixed-interval of time over a finite planning horizon. The demand of finished product is given by buyers and the shipment size to each buyer is fixed. The problem is to determine the production start time, the initial and ending inventory, the cycle beginning and ending time, the number of orders of raw materials in each cycle, and the number of cycles for a finite planning horizon so as to minimize the system cost. A surrogate network representation of the problem developed to obtain an efficient, optimal solution to determine the production cycle and cycle costs with predetermined shipment schedules in the planning horizon. This research prescribes optimal policies for a multi-stage production and procurements for all shipments scheduled over the planning horizon. Numerical examples are also provided to illustrate the system. 相似文献