Bilevel Model for Pricing and Production Planning Decision with Fuzzy Parameters

With the deepen of market competition, product pricing and production decision problem in many firms have become more and more important. A bilevel model is proposed to describe the pricing and production decisions with fuzzy demand and fuzzy cost parameters. The upper level is to determine the optimal price and production quantity with capacity constraints. Using this information, the lower level problem tries to structure a response (the distribution pattern of customers (or markets)) that will satisfy his demand at minimum cost. And after transforming the fuzzy numbers into the crisp value by Graded Mean Integration Representation method, the solution algorithm based on difference method is given. Finally, the application of the model and its algorithm are illustrated with a simple example.     

Multiobjective Linear Programming Model on Injection Oilfield Recovery System

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The Uniqueness of Optimal Solution for Linear Programming Problem

This paper investigates an old problem in operations research, the uniqueness of the optimal solution to a linear programming problem. We discuss the problem on a general polyhedron, give some equivalent conditions for uniqueness testing. In addition, we discuss the implementation issues for linear programming based decision making procedures,which motivated this research.     

A Fuzzy Negotiation Model of E-commerce

We usually decide to accept or reject the offer based on the utility function in the traditional automatic negotiation of E-commerce so that we reject the offers whose utility is lower than a specified value. Here we evaluate the acceptability based on the fuzzy set theory and the membership function. Since different issues have different effect on the negotiators, we state the combined concession in the multi-issue negotiation for the negotiators. We put forward a more practical negotiation model than the traditional negotiation model and give an example of its application in E-commerce.     

The Class of the Generalized αk-Major Efficient Solutions for Multi-objective Programming

1 IntroductionConsider the following multi--objective programming:V -- minf(x) Cl)x e xwhere XcrR" is a constrained set, and f: R"-R"(m22) is the vector objective function.A non--dominated solution for (1 ) is usually called the Pareto efficient solution. HuL1jintroduced the concepts of major efficient solutions and major optimal solutions, thenpresented the concepts of a--major efficient so1utions and a--major optimal solutions. Ma[2Jgave a genera1ization of the major optimal solutions, a…     

The Study of Model About Enterprise Crisis Early-warning Based on Fuzzy Classification and

Toward the problem of judgement of enterprise crisis degree, the paper adopts fuzzy classification and fuzzy recognition method, forms enterprise character objective function in fuzzy condition, and brings forward to solve approach of optimal fuzzy classification center matrix, optimal fuzzy recognition matrix and optimal index weight under different crisis degree. By using the method in enterprise crisis early-warning example, it can distinguish enterprise crisis degree effectively.     

Application of Mathematial-Simulated Model Setup for Eudcational Planning

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Allocation Planning for R&D with Uncertainty:Model and Procedure

A decision support model with the stochastic objective function measuring the benefitcontributions of projects and stochastic resource constraint and its decision making analysis pro-cedure with the case study are presented for selecting R＆D projects,in which the uncertainty inproject evaluation and selection,the technical or outcome,cost or resource and benefit or payoffinterrelationships among projects,and the experience and knowledge of ther R＆D manager can beconsidered.     

The Refined Solutions on Multiobjective Programming Problems with Fuzzy Parameters in the Constraints

This paper investigates the multiobjective programming problems with fuzzy parameters in the constraints. First, by the decomposing theorem, we introduce a fuzzy set to characterize the constraints, then give the definition of α-quasi-efficient solution and a-efficient solution, and discuss their properties. Finally, a numerical example is presented to illustrate the differences between the refined solutions and the α-Pareto solution.     

An Optimization Model of Joint Tactics Organization Based on Chance-constrained Programming

Generally, the traditional troops optimization model adopts the method of certain mathematic programming. However, it is hard to satisfy the actual request of the accurately quantitative analysis with a large number of stochastic factors in modern high technique war. In this paper, the general characteristic of this problem is analyzed fully. A new method of establishing the optimization model of joint tactics organization based on chance-constrained programming is setted up. In the end, an example is demonstrated and solved by the genetic algorithm based on stochastic simulation.     

集约生产计划问题参数规划模型的转换与分解算法

为求解模糊的集约生产计划问题,从模糊集约生产计划已清晰化后的参数规划模型着手,将参数规划模型进行分解,提出了分解算法,并将分解算法与分枝定界法进行了比较分析,仿真结果验证了这种算法的有效性与优越性.     

多规格产品系列生产的随机响应优化决策

以价格、产量和品种结构为决策变量，提出并建立了多规格产品系列生产的随机响应决策优化模型。以产品的平均价格为自变量测算产品需求量，以多项式Ｌｏｇｉｔ随机响应模型分析顾客对产品的选择，以最大利润为目标，本文建立了一个系列产品决策的数学规划模型。模型的基本变量是不同规格产品的价格，但是，由此就可以推算出计划生产产品的产量、产品结构、生产成本和销售收入。本文用一个例题进行了验算。     

多目标预报系统的Fuzzy 优选识别模型及其应用

对多目标预报系统的Ｆｕｚｙ优选识别模型进行了分析和研究,并建立了山东省曲阜市第二代棉铃虫发生量的Ｆｕｚｙ优选识别模型。对历史资料进行回代验证,其历史拟合率高达９１．６７％。将１９９４年的观测数据作为独立样本进行试报,预测结果与实际一致。     

基于模糊交货期分布式多工厂单件制造业的生产计划

描述了基于模糊交货期分布式多工厂单件制造业生产计划,建立具有不同类型模糊交货期的生产计划模型,提出适合于分布式多工厂单件制造业生产计划的算法。计算结果表明模型的有效性。     

单件制造业模糊交货期下的准时化生产计划

建立了单件制造业模糊交货期下的生产计划模型。将隶属度函数引入到生产计划中，拓宽了准时化生产计划问题的研究范围。并运用混合０－１整数规划来求取最优解，为实际生产计划提供了一种有效的方法。     

基于模糊随机期望规划的跨国供应链战术计划模型

首先对跨国供应链计划进行了简要介绍,并且讨论了跨国供应链中的不确定因素-市场需求的三种数学描述形式-随机、模糊、模糊随机;提出了基于模糊随机期望规划的生产-分销二级跨国供应链战术计划模型,它与以往供应链计划模型最大的不同之处在于将市场需求看作模糊随机变量;然后设计了计算机模糊随机模拟技术和遗传算法相结合的智能算法求解模型;最后对模型进行了数值仿真分析,即对模糊随机期望模型使用智能算法,对其等值确定性模型使用分枝定界法,计算结果精度对比证明了模糊随机期望模型的有效性.     

集约生产计划问题最佳平衡模型的仿真分析

集约生产计划最佳平衡模型由参数规划模型导出,由此给出决策者在各个时段对总费用的满意水平的隶属函数,将最佳平衡模型转换成非线性规划模型,并进行了实例仿真,结果表明,最佳平衡模型的最优解与满足市场需求、能力消耗和总费用之间的最佳平衡点相对应。     

多目标平面选址问题的模拟退火算法

用模拟退火算法求解一类困难的多目标平面选址问题，经微机上大量试算，效果较好.     

多目标系统决策的模糊集对分析方法

根据集对分析思想，提出了模糊集对分析方法，并将它应用于多目标系统决策中，本方法集确定与不确定分析为一体，体现了不确定对结果的影响。经实例对比分析表明，这是一种完整有效的新方法。     

应急系统调度问题的模糊规划方法

应急系统调度问题通常仅把“应急时间最短”作为系统的优化目标,易导致出救点数目较大的情况,无论从系统的稳定可靠性还是费用考虑,这种提发生是极其不利的,针对这一特点,提出了基于“时间最短”,“出救点数目最少”的多目标数学模型,考虑决策者偏好的模糊性,本文采用模糊规划的思想方法处理该问题,并给出了相应的求解算法,算例及实际运用令人满意。