生产函数构成的树形图分析方法

作为生产函数几何表示的尝试，本文通过对生产函数要素构成的分析，归纳出一种用树形图表示生产函数的方法，这种方法直观形象，能清晰地表示各要素之间的结构关系和指标关系．     

基于遗传算法的浸染生产排缸策略

针对目前印染企业在浸染生产过程中产品种类和加工设备多、调度复杂的特性，建立了一种用于浸染生产调度的数学模型，并应用遗传算法进行排缸调度求解。以生产任务的分配优先级顺序作为染色体的编码来求解多个生产任务在多个染缸上的调度分配命题，从而得出了最优排缸策略，适用于快速、高效地解决实际生产中大量生产任务调度问题。仿真结果表明了该策略的有效性和实用性。     

经济学中拟齐次生产模型的几何刻画

齐次和拟齐次生产函数作为经典的生产函数模型,在经济分析中具有广泛的应用.从几何学的角度研究齐次和拟齐次生产函数的分类具有重要理论意义和应用价值.该研究利用几何不变量方法,完全分类了拟齐次生产函数所对应的平坦拟齐次生产曲面,并且也给出了极小拟齐次生产曲面的完整分类.     

枚举法在制定生产计划中的应用

赵学慧，赵瑛．枚举法在制定生产计划中的应用，数理统计与管理，１９９７，１６（１），１６～１８．本文通过用枚举法制定生产计划的实例，向管理人员介绍计算线性规划最优解的一种简单而易行的方法     

生产—库存量低成本计划简易编制方法及其在人血白蛋白生产中的应用

在社会主义市场经济条件下，作为市场主体的企业在对其产品的需求量作出较为准确的预测前提下，应努力编制出使总费用（主要为生产费用和库存费用）最低的生产计划。本根据线性规划方法中求解运输总是的表格算法，提出一个计算简单、操作方便、适用范围广泛的简易编制方法；并以人血白蛋白的生产实际数据为例作出示范性计算，显示了使用本方法具有很高的经济效益。     

生产──库存最低成本计划简易编制方法及其在人血白蛋白生产中的应用

在社会主义市场经济条件下，作为市场主体的企业在对其产品的需求量作出较为准确的预测前提下，应努力编制出使总费用（主要为生产费用和库存费用）最低的生产计划．本文根据线性规划方法中求解运输问题的表格算法，提出一个计算简单、操作方便、适用范围广泛的简易编制方法；并以人血白蛋白的生产实际数据为例作出示范性计算，显示了使用本方法具有很高的经济效益。     

陕西生猪生产长期趋势及周期波动模型的建立与应用

本文应用反正弦变换方法，将陕西省生猪生产统计数据对长期趋势直线回归估计值的偏离进行线性化处理，得出其周期波动规律，求出波动发生的周期和强度，并推导出年增长率变化的趋势，为政府部门适时适度调控生猪生产提供了依据．     

生产与销售的库存模型

本文对工厂生产所需原材料的库存和生产的产品的库存问题进行了研究 ,给出了生产和销售速率一般意义下的库存模型和计算最佳生产周期的算法 ,并对两种生产和销售速率的特殊情况 ,分别进行了讨论 .     

DEA的交形式生产可能集及其应用

DEA理论、模型及方法可用以评价给定决策单元之间的相对有效性,其在经济学中的应用体现在经验生产可能集的构造上.DEA的生产可能集有两种等价形式—和形式及交形式.相比较而言,交形式更具几何直观性及计算便利性.     

生产与销售的库存模型

本对工厂生产所需原材料的库存和生产的产品的库存问题进行了研究,给出了生产和销售速率一般意义下的库存模型和计算最佳生产周期的地,并对两种生产和销售速率的特殊情况,分析进行了讨论。     

基于制造商资金有约束的替代产品的最优生产决策

考虑一个单周期的生产决策模型,在该模型中有一个制造商生产两种可替代的产品.面对随机的市场需求,制造商要在需求到来之前制定出两种产品的生产决策来最大化自己的期望利润.在制造商的资金有、无约束两种情形下,证明了制造商的收益函数的期望是关于两种产品生产数量的凹函数,探讨了资金的约束以及产品的替代给制造商的生产决策所带来的影响,给出了最优生产数量的若干性质.另外,针对需求分布为均匀分布的特殊情形给出了制造商最优生产决策的简单表达形式.     

CAPACITY AND PRICE OF NONRENEWABLE RESOURCE DEPOSITS

This paper develops a model to determine the planned rate of production from a nonrenewable resource deposit and applies the model to the U.S. copper industry to estimate changes in aggregate planned copper production as a function of copper price expectations. Standard investment theory is applied in the model to examine the choice of the planned rate of extraction from limited volume resource deposits. A setting is analyzed in which the total production volume from any site is fixed by the size of the resource deposit at that site. Within this setting, the planned rate of resource extraction is a fully endogenous solution of the model. Properties of the model are investigated to determine changes in the planned rate of production caused by variation in operating cost, investment cost and output price parameters. The planned rate of production from any deposit is found to increase at a decreasing rate, given incremental increases in the output price, ceteris paribus. The finding is illustrated with data describing mined and yet-to-be mined copper deposits in the United States. A close match is observed between the calculated production rate for mined copper deposits and the mine capacity (rate of production) chosen by the owners of those deposits, given plausible assumptions about mine owner price expectations. The planned rate of production is aggregated across all deposits and plotted as a function of output price. An aggregate medium run copper supply curve is obtained, indicating the elasticity of planned production to changes in the expected long run output price of copper. This empirical example suggests that doubling the output price from $1 to $2 per pound copper, would triple aggregate planned copper production in the United States.     

AN INVERSE MAXIMUM CAPACITY PATH PROBLEM WITH LOWER BOUND CONSTRAINTS

IIntroductlonWrseProblem ofCombinatorial Optunatlon has ttrartedmore砒iemion ofresearchersrecentlx It Is irst nroPosed br D·Burton and Ph·L·h尬 in[11,拙er that J．Zhang,Z．Ma,M．Catnd oth删h印儿done some r田earo work on them陀r%pr加咖s Of shortest path,mat山lug,*]．－－－*1fill sp皿D*旷r%,*砒m皿m伽n山阻111tim c毗,*%r01讥扯所肥出饲811加妙－5]．讪出把papers l皿vs conhe their modd onthe suppooltlonth时 sh耐est p毗h,mimmum spanningtree,matd止ng and so on are一、n．h "aner [61,D．Burton…     

Economic production quantity model with repair failure and limited capacity

We develop an economic production quantity (EPQ) model with random defective items and failure in repair. The existence of only one machine results with limited production capacity and shortages. The aim of this research is to derive the optimal cycle length, the optimal production quantity and the optimal back ordered quantity for each product so as to minimize the total expected cost (holding, shortage, production, setup, defective items and repair costs). The convexity of the model is derived and the objective function is proved convex. Two numerical examples illustrate the practical usage of the proposed method.     

有容量限制的广义网络均衡比较

近些年来,Wardrop原理在有容量限制的交通网络中沿着两个方向被学者推广,形成了几种不同的广义网络均衡定义.在路径、路段上两种类型的容量限制下,通过对四种广义网络均衡进行比较,得到这些均衡解之间的相互关系;用反例说明广义均衡解集包含关系不成立的情况;得到这些广义均衡解的效率损失.     

路段容量约束弹性需求交通均衡分配近似算法

本文研究了带路段容量约束弹性需求用户均衡交通分配问题及其近似解法.采用超需求模型将弹性需求转化为固定需求,提出了一种带路段容量约束弹性需求用户均衡交通分配近似算法.该算法在迭代过程中,通过不断自适应调节排队延误因子、误差因子来近似真实路段行驶时间,使路段流量逐步满足约束条件,最终达到广义用户均衡.这种方法克服了容量约束弹性需求用户均衡分配计算量大及随机分配法要求枚举所有路径的困难.随后证明了算法的收敛性,并对一个小型路网进行了数值试验.     

Short-Term Capacity Adjustment with Offline Production for a Flexible Manufacturing System under Abnormal Disturbances

Large production variations caused by abnormal disturbances can significantly reduce the production capacity of a flexible manufacturing system (FMS). To prevent production delays, short-term capacity adjustment strategies can be used to augment the capacity of the FMS, such as working overtime, using alternative tools that are suited for faster processing, and producing parts outside of the FMS. We propose a mixed integer programming (MIP) model to obtain an optimal production plan for a multi-machine FMS. Our model evaluates both the FMS loading decision and the effective use of short-term capacity adjustment strategies to minimize the total part production cost. We develop an iterative procedure to solve the model that uses the Lagrangian relaxation method for finding lower bounds and a Lagrangian heuristic for obtaining feasible solutions. The procedure exploits certain special structures found in the Lagrangian multipliers which enable us to obtain good solutions to reasonably large test problems quickly.     

LELONG-DEMAILLY NUMBERS IN TERMS OF CAPACITY AND WEAK CONVERGENCE FOR CLOSED POSITIVE CURRENTS

In this paper we give a new definition of the Lelong-Demailly number in terms of the CT-capacity, where T is a closed positive current and CT is the capacity associated to T. This derived from some esimate on the growth of the CT-capacity of the sublevel sets of a weighted plurisubharmonic （psh for short） function. These estimates enable us to give another proof of the Demailly＇s comparaison theorem as well as a generalization of some results due to Xing concerning the characterization of bounded psh functions. Another problem that we consider here is related to the existence of a psh function v that satisfies the equality CT（K） ： fK T ∧ （dd^cu）^p, where K is a compact subset. Finally, we give some conditions on the capacity CT that guarantees the weak convergence ukTk → uT, for positive closed currents T, Tk and psh functions uk, u.     

成组BFGS修正的紧凑形式与成组记忆修正算法

１．引言实际问题中经常要遇到一族函数极小值问题的求解,即ｍｉｎｆｉ（ｘ）,ｉ＝１,...,Ｐ;（１．１）其中人：Ｒ"、Ｒ具有公共的Ｈｅｓｓｉａｎ矩阵Ｇ（ｘ）。７'ｆｉ（ｘ）,ｒ是适中的数值．如在各种负载下的弹性体研究中,即要遇到问题（ｌ．Ｉ）的求解,其中人（Ｃ）一人Ｃ）＋ｑＣ十Ｃ;（＝１,...,...．对于不同的比则人（Ｘ）具有不同的极小点和不同的梯度Ｄ人（Ｘ）,但具有相同的Ｈｅｓｓｉａｎ矩阵Ｇ（Ｘ）．１９９４年,Ｏ'Ｌｅａｒｙ等【'］把拟一Ｎｅｗｔｏｎ算法推广至成组形式（ｍｕｌｔｉＰｌｅｖｅｒｓｉｏ...,…     

一个无约束有限内存信赖域方法及其实现

本文针对大规模无约束优化问题研究了一个新的有限内存信赖域实现方法,提出了一个在有限维（维数≤2m＋1）子空间上精确求解信赖域子问题的方法,大大减少了计算量;分析了方法的收敛性,并详细给出了数值计算方法,最后通过数值实验验证了方法的有效性.