operations research chapter two

Operations Research by P. Mariappan

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Linear Programming Problem (LPP)

2.1 introduction.

Linear Programming constitutes a set of Mathematical Methods specially designed for the Modelling and solution of certain kinds of constrained optimization problems.

The Mathematical presentation of a Linear Programming Problem in the form of a linear objective function and one or more linear constraints with equations or inequations constitutes a Linear Programming Problem. The process leading to the construction of this model is referred to as the Model Building or Mathematical formulation of Business problem given. In this model, a linear objective function of the decision variables are maximized/minimized subject to a set of linear constraints with equations/inequations. This technique ...

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Introduction to Operations Research

First Online: 17 June 2022

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H. A. Eiselt 3 &
Carl-Louis Sandblom 4

Part of the book series: Springer Texts in Business and Economics ((STBE))

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In its first section, this introductory chapter first introduces operations research as a discipline. It defines its function and then traces its roots to its beginnings. The second section highlights some of the main elements of operations research and discusses a number of potential difficulties and pitfalls. Finally, the third section of this chapter suggests an eight-step procedure for the modeling process.

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Assad AA, Gass SI (2011) Profiles in operations research: pioneers and innovators. Springer, New York

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Faculty of Business Administration, University of New Brunswick, Fredericton, NB, Canada

H. A. Eiselt

Department of Industrial Engineering, Dalhousie University, Halifax, NS, Canada

Carl-Louis Sandblom

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Eiselt, H.A., Sandblom, CL. (2022). Introduction to Operations Research. In: Operations Research. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-97162-5_1

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Operations Research: A Practical Introduction is just that: a hands-on approach to the field of operations research (OR) and a useful guide for using OR techniques in scientific decision making, design, analysis and management. The text accomplishes two goals. First, it provides readers with an introduction to standard mathematical models and algorithms. Second, it is a thorough examination of practical issues relevant to the development and use of computational methods for problem solving.

Highlights:

All chapters contain up-to-date topics and summaries
A succinct presentation to fit a one-term course
Each chapter has references, readings, and list of key terms
Includes illustrative and current applications
New exercises are added throughout the text
Software tools have been updated with the newest and most popular software

Many students of various disciplines such as mathematics, economics, industrial engineering and computer science often take one course in operations research. This book is written to provide a succinct and efficient introduction to the subject for these students, while offering a sound and fundamental preparation for more advanced courses in linear and nonlinear optimization, and many stochastic models and analyses.

It provides relevant analytical tools for this varied audience and will also serve professionals, corporate managers, and technical consultants.

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Chapter Two Linear Programming: Application and Model Formulation. 2. Introduction (We first detail discuss the theory of LP) The term linear implies that all the mathematical relations used in the problem are linear or straight-line relations, while the term programming refers to the method of determining a particular program or plan of action, i., the use of algorithms that is a well defined ...
Chapter 2: Linear Programming Problem (LPP)
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In addition to Introduction to Operations Research and two companion volumes, Introduction to Mathematical Programming (2nd ed., 1995) and Introduction to Stochastic Models in Operations Research (1990), his books are Handbook of Industrial Statistics (Prentice-Hall, 1955, co-authored by A. H. Bowker), Tables of the Non-Central
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