A Linear Goal Programming Model for Trans-Shipment Problems with Flexible Supply and Demand Constraints

This paper deals with the development of a linear goal programming model for solving transshipment problems with flexible supply and demand constraints. The model was constructed based on the data obtained from a nationwide retail firm. The Wilcoxon signed-ranked test was used to show the model's flexibility and applicability. The test results were analysed and interpreted for decision making.     

A Chance-Constrained Goal Programming Model for Capital Budgeting

A chance-constrained formulation is presented for a zero-one goal programming problem whose coefficients in the technological matrix are stochastic. The model is presented with a numerical example. A capital budgeting problem is taken for illustration.     

Diverse Imprecise Goal Programming Model Formulations

The goal programming (GP) model is probably the best known in mathematical programming with multiple objectives. Available in various versions, GP is one of the most powerful multiple objective methods which has been applied in much varied fields. It has also been the target of many criticisms among which are those related to the difficulty of determining precisely the goal values as well as those concerning the decision-maker's near absence in this modelling process. In this paper, we will use the concept of indifference thresholds for modelling the imprecision related to the goal values. Many classical imprecise and fuzzy GP model formulations can be considered as a particular case of the proposed formulation.     

An Integer Goal Programming Model for Determining Military Aircraft Expenditures

The decision-making process involved in the procurement of military weapon systems, although quite critical and complex, still encompasses the basic characteristics of a capital budgeting problem. Given a number of expenditure items and a limited budget, it is desired to procure those weapon systems that will achieve the goals and objectives of the government and/or military in the most efficient manner. Since these objectives are typically numerous and diverse, traditional decision-making techniques are not applicable. As such, integer goal programming is suggested as a technique to be employed to determine the number of military aircraft to be procured, given conflicting expenditure, budget and effectiveness goals. This method is demonstrated via a case example in which the solution results are presented.     

预算模式平稳过渡的目标规划模型分析

依据财政预算资金拨付体系平稳过渡的要求,本文提出了三种平稳过渡策略,建立了预算模式由计划预算模式平稳过渡到支出预算模式的多目标优化模型并给出了相应的算法.数值结果表明,模型可以对不同策略的效果进行评估,并且可以找到可行的解决方案。该模型应用于某单位过渡方案的制定,得到了很好的结果。该项研究无论对政府计划部门,还是企事业单位的预算制度改革都有很重要的作用。     

用统计分析方法预测能源需求量

本文建立了云南省能源消费量的主成份回归模型 ,并通过灰色系统理论中的GM (1,1)模型 ,得到了自变量的预测年度数据 ,从而对云南省 2 0 0 1年至 2 0 0 5年的能源需求量进行了预测     

A Goal Programming Model for Staff Scheduling at a Telecommunications Center

In this paper, a mathematical model is developed to solve a staff scheduling problem for a telecommunications center. Currently, weekly schedules are manually produced. The manual nature of the process and the large number of constraints and goals lead to a situation where the used schedules are both inefficient and unfair. A zero-one linear goal programming model is suggested to find an optimized cyclical schedule. The center objectives as well as the engineers’ preferences are taken into account. The developed model had to produce balanced schedules that provide the required coverage while satisfying fairness considerations, in terms of weekends off, working night shifts, isolated days on, and isolated days off. A staffing analysis and mathematical properties have been developed to find the optimal parameters of the staff scheduling model. A 6-week scheduling period has been suggested instead of the current weekly period. Work patterns have been suggested to improve schedules quality. These work patterns have been mathematically formulated as a set of soft constraints. The suggested mathematical model has been implemented using Lingo software. The optimal cyclical schedule has been found. It significantly increases both efficiency and staff satisfaction. The suggested approach can be used for any similar staff scheduling problem.     

A Linear Goal Programming Model for Planning the Exports of Emerging Countries

A linear goal programming model for planning the exports of emerging countries is formulated in this paper. The model includes some economic factors which may affect the exports, e.g. industrial structure, labour force, value added in exports, capital efficiency, imports of raw material used for manufacturing goods designated for exports, investment plan, etc. An illustrative example is presented. A sensitivity analysis was performed in order to examine the effect of various changes made in the model on the results. It is felt that the model presented in this study would be useful to economic planners in emerging countries.     

A Goal Programming Model for Rescheduling of Generation Power in Deregulated Markets

In deregulated electrical systems, production schedule for power plants is the result of an auction process. In the Spanish case, this schedule includes two main concepts: energy production (to be actually produced) and secondary reserve (to maintain available). The generation company faces the problem of converting energy schedule into a power schedule, respecting the reserve schedule as well as technical constraints, and trying to accomplish different goals: to minimise the production costs, to obtain smooth shapes for the power schedules and to optimise eventual compensation in schedules. A weighted goal mixed integer programming model with a real-size application to deal with this problem is presented.     

An Integer Goal Programming Model to Allocate Offices to Staff in an Academic Institution

This paper investigates the problem of allocating office space to members of staff in an academic institution. We identify several conflicting objectives and formulate an integer pre-emptive goal programming model to address them. Using data from a pilot site of the University of Westminster, UK, we then experiment with alternative rankings of the objectives. Finally, given the plans to consolidate the activities of this university into fewer sites and the resulting need to relocate some staff members, we discuss how this model can be used to ensure that this process is carried out with the least possible inconvenience.     

干线公路网等级结构优化的目标规划模型及算法

依据制定中长期公路网规划的需要，建立了一个干线公路网等级结构优化的目标规划模型，并给出了算法及算例。     

目标规划在离散型动态投入产出模型中的应用

以离散型动态投入产出模型为约束条件的主体、以决策部门所希望达到的种种目标为约束条件的附加部分,建立动态投入产出目标规划模型.通过求解动态投入产出目标规划模型而得到离散型动态投入产出模型的解.此解法与其它解法相比具有更大的实用价值.     

最优炒股问题的动态规划模型

本文运用 Bellman的动态规划方法 ,给出了最优炒股问题的数学模型 ,并对其解进行了分析 .     

基于组合模型的我国能源需求预测

在信息不完备条件下如何有效预测能源消费总量以把握宏观经济发展趋势,是制定能源规划的基础内容.伴随我国成为全球经济增长重要引擎,能源消费量越来越大,能源安全问题也备受关注.选用灰色系统模型、三次指数平滑模型和BP神经网络模型三种预测模型,应用Shapley值权重分配法确定各预测模型的权重,从而构建组合预测模型并对我国能源消费进行组合预测.在保持过去发展规律基本不变的条件下,2014年能源需求总量为383,718.16万吨标准煤,到2020年将达462,089.33万吨标准煤.2013-2020年能源需求总量年均增长率为3.38%.     

一类大系统目标规划问题分解算法中最优解之间的关系

将一类大系统目标规划问题分解为若干个子问题,研究了原问题的最优解和各个子问题最优解之间的关系,并讨论了原问题最优解的判别条件。     

对北京市年需水量预测模型的研究

水资源的供给问题是每个城市都要面临的一项必须且复杂的基础建设任务。对城市需水量的预测直接关系到一个城市供水系统的建设规模与安全运行,是实现科学调度的必要前提。本文通过对北京市2001-2014年需水量及其影响因素相关数据的分析,分别建立了普通线性回归及偏最小二乘线性回归预测模型。通过对模型的比较分析及仿真模拟预测计算,发现偏最小二乘线性回归预测模型不仅易于解释,更适合做外推预测,具有较强的应用价值。     

基于灰色马尔可夫模型的物流配送需求量预测研究

研究可以较准确地预测物流配送需求量的数学模型,以服务于政府及企业的物流规划及其决策.将灰色理论和离散状态的马尔可夫链相结合,用灰色马尔可夫链对物流配送需求量进行实证研究.针对灰色数据系列首先用GM模型进行趋势预测,然后利用马尔可夫状态转移概率矩阵预报方法对其预测值进行二次拟合,预测精度明显高于GM模型预测.     

A Chance-Constrained Integer Goal Programming Model for Capital Budgeting in the Production Area

The selection of capital projects in a production environment is complicated by the existence of multiple and conflicting goals. Typical production objectives for cost minimization often conflict with goals for quality, environmental standards, labor relations, etc. This problem of project selection is further complicated by the uncertainty inherent in product demand, the key factor in production management. This paper approaches these complications by employing an integer goal programming (to compensate for multiple conflicting objectives) with chance-constrained capabilities (to reflect uncertainty in product demand). The approach is demonstrated via an in-depth case example of a production problem.     

具有分数形式的随机目标规划在金属模型中的应用

本文主要应用了Enrique Ballestero提出的一个新的随机目标规划框架,采用了幂效用函数和双曲绝对风险厌恶,以资产组合选择问题为背景,构造了两个具有分数形式目标函数的随机目标规划模型,给出了解法,并讨论了解的经济意义。本文的随机目标规划产生了一种相对风险极小的有效解,为决策提供了一种新的方案选择途径。