Posts Tagged ‘Linear Programming’

Product Description
In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them. Treatments of the price concept, the transportation problem, and matrix … More >>

Linear Programming and Extensions

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The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and i… More >>

Linear Programming and Network Flows


Lecture Series on Fundamentals of Operations Research by Prof.G.Srinivasan, Department of Management Studies, IIT Madras. For more details on NPTEL visit nptel.iitm.ac.in


We discuss changes to our model. We calculate the Range of Optimality and the Shadow Price. We then interpret the Excel Solver Sensitivity Report.

More and more companies try to reduce costs and optimize their operations in the current economic times. The most popular mathematical method to reduce operational cost with limited resources is the linear programming (LP). It has been heavily used in such areas as company management, logistic, planning and production. It doesn’t matter how big or small a company is, if it needs to optimize any part of its business the linear programming can help, but there is a catch. LP cannot be used directly; it usually works as a part of the company’s systems, such as logistic, scheduling or planning applications. There are thousands of custom-built software systems that use LP as the optimization engine.

The developers of these systems only convert the particular custom problem into general LP form and call the LP solver. After the LP problem is solved the system gets back the results and transform them into custom solution. Such architecture allows using the same LP optimization engine for different custom-built systems and therefore the developers can focus on the business logic, without getting involved into the complicated LP implementation.

Optimalon Software (http://www.optimalon.com) provides the linear programming optimization engine Gipals32.dll. It’s powerful, yet affordable solution for many software companies and individual developers. Gipals32 can easily find a solution or state a solution doesn’t exist for any kind of linear programs with an unlimited number of variables and constraints.

Marketing director Denis Smirnov:

“Implementation the support of SSE2 and multi-core CPUs has improved Gipals32’s performance dramatically. In some cases we got the calculation speed increased by 5 (five) times.

The numeric stability of the calculation has been improved for the new version as well. Gipals32 can now solve poorly defined LP problems that didn’t yield any solutions before.”

More information about the Gipals32, its features and performance can be found at http://www.optimalon.com/product_gipals32.htm

Optimalon Software is a growing company specialized in different areas of the optimization fields. It combines the modern mathematical methods and new information technologies to deliver simple, powerful and reliable solutions of optimization problem that arise in industrial, educational and production areas. For further information, please visit our website at www.optimalon.com

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Product Description
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more. First comprehensive treatment of role of linear programming in traditional economic theory. Bibliography. Index.
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Linear Programming and Economic Analysis

Product Description
Entertaining, non-technical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Appendix offers precise statements of definitions, theorems, and techniques, additional computational procedures. Only high-school algebra needed. Bibliography.
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An Illustrated Guide to Linear Programming

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