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# 数学代写|运筹学代写Operations Research代考|Application Models of Operations Research

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## 数学代写|运筹学代写Operations Research代考|Application Models of Operations Research

Basic Operation Research Application Models are discussed here below

1. Allocation Models : Allocation models are used to allocate resources to activities in such a way that sum measure of effectiveness (objective function) is optimized. e.g. Linear Programming Problem (Simplex, Transportation, Assignment etc.,) and Non-linear programming.
1. Inventory Models : Inventory models are used to determine how much to order and when to place an order so as to optimize the inventory costs such as order cost, carrying cost, shortage cost etc.,
2. Competitive (Game Theory) Models : These models are used to characterize the behaviour of two or more opponents (called players) who compete for the achievement of conflicting goals. These models are classified according to number of competitors, sum of loss and gain and type of strategy.
3. Network Models: These models are applied to management (planning and scheduling) of large scale projects, PERT/CPM help in identifying trouble spots in a project by critical path and to determine time-cost trade off, resource allocation and updating of activity times.
4. Sequencing Models: This arises whenever there is a problem in finding a sequence or order in a number of tasks performed by a number of service facilities. Here, the total time to process all the jobs on all the machines is optimized.
5. Waiting Line (Queuing) Models : These are used to establish a trade off between cost of providing service and the waiting time of a customer in queuing system by using the probabilities and averages.
6. Replacement Models : To decide the optimal time to replace equipment, for instance when equipment deteriorates or fails, these models are applied.
7. Dynamic Programming Model : These may be considered as an out growth of mathematical programming, which involves optimization of multi stage, inter-related decision process.
8. Markov Chain Models : Used for analysing a system which changes over a period of time among various possible out comes or states.
9. Monte-Calro Simulation : Simulation is a quantitative procedure, which describes process by developing a model of that process and then conducting a series of organised experiments to predict the behaviour of the process over time. To find out how the real process would react to certain changes, we can produce these changes in our model and simulate the reaction of the real process to them.

## 数学代写|运筹学代写Operations Research代考|Significance and Applications of OR in Industrial Problems

The Operations Research approach becomes very significant in industrial problems particularly, when the resouces are scarce or/and when a balance is to be brought between conflicting goals where there are many alternative courses of actions available to the decision maker. Let us consider one such example given below.
Suppose, a decision has to be taken regarding inventory management. The objective of production manager is based on quality of material and availability on time. While a finance manager thinks on the line of minimising the costs. Therefore he would prefer to order a party who can supply at lowest costs or can offer some discount. The materials manager wishes to safeguard production from stockouts and against demand fluctuations etc. Therefore he would like to order in such way. But the stores manager will be particular about accommodating them in his stores and other related problems in protecting the materials while storage and so on. Thus all these managers are trying minimise the cost or maximise profit to the organisation. Though every manager is thinking in the interest of organisation growth, their objectives vary according to their specification.

In view of the situations like above a manager has to derive the decisions which should consist.

1. A total system orientation
2. Scientific approach
3. Realistic nature
4. Models should be able to be expressed quantitatively.
5. Systematic method.
OR is the science that is embedded with suitable blend all the above features.
Thus, OR can play a significant role in bringing a balance among different interdisciplinary people to managerial problems.

## 数学代写|运筹学代写Operations Research代考|Significance and Applications of OR in Industrial Problems

OR是一门融合了上述所有特征的科学。

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MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。