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Department of Mathematical Sciences
CARNEGIE MELLON UNIVERSITY


21-292 Operations Research I, 9 units, Spring, 2007
Instructor: Dr. Russ Walker, Wean 6117, ext. 8-2545, rw1k@andrew.cmu.edu
Text: Walker, Introduction to Mathematical Programming, Pearson Custom Publishing version, 2006.

Introduction. Operations research is the science of decision-making and involves the formulation and solution of problems whose solutions lead to decisions affecting the operation of organizations. The term mathematical programming, or deterministic optimization, is one of the best developed and most commonly used branches of operations research. This course will focus on that branch, especially linear programming.

Mathematical programming aims to find the best allocation of scarce resources such as money, time, materials, labor, etc., among an organization's activities while satisfying the financial, technological, organizational or logical constraints of the organization. This course will study the formulation and solution of such problems. Among the areas of application will be production, management, finance and engineering. The power of linear programming will enable us to consider various ``what if'' scenarios allowing the decision-maker to investigate alternatives.

The term ``linear'' in linear programming implies that quantities such as cost, profit, consumption of resources vary linearly with the input resources. While this is often the case, we may also consider a few topics in non-linear programming.




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Russell C Walker 2007-01-18