LearnOpex

Information

• Optimizer is the discipline of applying advanced analytical methods to help make better decisions.

• By using techniques such as mathematical modeling to analyze complex situations, operations research gives executives the power to make more effective decisions and build more productive systems

• It’s powerful, using advanced tools and technologies to provide analytical power that no ordinary software or spreadsheet can deliver out of the box. And it’s tailored to you, because anOptimizer professional offers you the ability to define your specific challenge in ways that make the most of your data and uncover your most beneficial options.

• Optimizer has enhanced organizations and experiences all around us. From better scheduling of airline crews to the design of waiting lines at Disney theme parks. From two-person start-ups to Fortune 500® leaders. From global resource planning decisions to optimizing hundreds of local delivery routes. All these benefits are directly from the use of Optimizer.

Course Content

Assignment Problems

The assignment problem is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research in mathematics. Assignment Problems is a useful tool for researchers, practitioners, and graduate students. It includes man-machine assignments, salesman-area assignment etc.

Transportation Problems

It gets its name from its application to problems involving transporting products from several sources to several destinations. Although the formation can be used to represent more general assignment and scheduling problems as well as transportation and distribution problems. The two common objectives of such problems are either
(1) minimize the cost of shipping m units to n destinations or
(2) maximize the profit of shipping m units to n destinations.

Linear Programming

Linear programming can be applied to various fields of study. Most extensively it is used in business and economic situations, but can also be utilized for some engineering problems. Some industries that use linear programming models include transportation, energy, telecommunications, and manufacturing. It has proved useful in modeling diverse types of problems in planning, routing, scheduling, assignment, and design.

Waiting Line Models

Improving manufacturing and attaining manufacturing excellence to gain competitive advantage has attracted a lot of attention in the last few years. Many manufacturing operations and many of the technological advances in manufacturing systems like FMS, AGVs, GT, CIM, cellular manufacturing, AS/RS and JIT production systems admit modeling via waiting line or queueing theory.

Inventory Models

In inventory models the major objective consists of minimizing the total inventory cost and to balance the economics of large orders or large production runs against the cost of holding inventory and the cost of going short. In the present paper we analyze the fluctuations in the stock and starting from some basic assumptions we obtain bounds between which the stock varies. The main purpose and use of our results is that we are able to determine the exact upper and lower stock bounds.

Network Models

The term network flow program describes a type of model that is a special case of the more general linear program. The class of network flow programs includes such problems as the transportation problem, the assignment problem, the shortest path problem, the maximum flow problem, the pure minimum cost flow problem, and the generalized minimum cost flow problem. It is an important class because many aspects of actual situations are readily recognized as networks and the representation of the model is much more compact than the general linear program.

Integer Programming

Integer programming is concerned with optimization problems where some of the variables are restricted to take only integral values. There are numerous applications of integer programming in various areas such as facility location, network design, vehicle routing and so on.

Simulation

• Simulation is the imitation of some real thing, state of affairs, or process. The act of simulating something generally entails representing certain key characteristics or behaviours of a selected physical or abstract system. Simulation is used in many contexts, including the modeling of natural systems or human systems in order to gain insight into their functioning. Other contexts include simulation of technology for performance optimization, safety engineering, testing, training and education. Simulation can be used to show the eventual real effects of alternative conditions and courses of action.

Dynamic Programming

Dynamic programming is a method for efficiently solving a broad range of search and optimization problems which exhibit the characteristics of overlapping sub problems and optimal substructure.