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This book on Operation Research has been specially written to meet the requirements of the M.Sc., M.Com. and M.B.A. students for all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and fairly large number of solved examples, sufficient problems have also been selected from various universities examination papers. Contents: Simulation, LPP with Applications, Minimization Problem, Replacement and Maintenance Theory.
It covers all the relevant topics along with the recent developments in the field. The book begins with an overview of operations research and then discusses the simplex method of optimization and duality concept along with the deterministic models such as post-optimality analysis, transportation and assignment models. While covering hybrid models of operations research, the book elaborates PERT (Programme Evaluation and Review Technique), CPM (Critical Path Method), dynamic programming, inventory control models, simulation techniques and their applications in mathematical modelling and computer programming. It explains the decision theory, game theory, queueing theory, sequencing models, replacement and reliability problems, information theory and Markov processes which are related to stochastic models. Finally, this well-organized book describes advanced deterministic models that include goal programming, integer programming and non-linear programming.
This is a comprehensive textbook that combines theory and applications of "Operations Research" and covers more topics. Starting with an introduction to "Operations Research", the book deals with the various techniques of Operations Research applicable in practice. Separate chapters are devoted to Linear Programming, Dynamic Programming, Transportation and Assignment Project Scheduling, Goal Programming, Integer Programming, Inventory Control, Replacement Theory, Game Theory, Queueing Theory, Sequencing Theory, Non-linear Programming, and Simulation Technique. The approach adopted in the book is a good combination of verbal exposition, geometry, and mathematics. Numerous practical examples alongwith the theory make the book more useful. The book has been written for students pursuing undergraduate and post graduate courses in engineering, post graduate causes in management and computer science, and C.A. It would be equally useful to students of M. Sc/M.A (Mathematics) and other Professional courses.
Operations Research: Theory and Applications, is a comprehensive text for courses in Quantitative Methods, Operations Research, Management Science, Analytical Methods for Decision-Making, and other related subjects. This fourth edition of the book further
About the Book: The subject OPERATIONS RESEARCH is a branch of mathematics. Many authors have written books on Operations Research. Most of them have mathematical approach rather than decision-making approach. Actually the subject deals with applied decision theory, so I have dealt with the subject with decision-theory approach. The book has fifteen chapters. The first five chapters deal with Linear Programming Problems, such as Resource allocation problem, Transportation problem and Assignment problem?both maximization and minimization versions. In the first chapter, the historical background of Operations Research (O.R.) and definition and objective of the subject matter along with model building is discussed to help the learners to have basic knowledge of O.R. Typical problems of mathematical orientation and decision making orientation have been solved. In transportation model and in assignment model, problems useful to Production and Operations Management have been solved to make the students to know the application part of the subject. The sixth chapter deals with Sequencing model, where the importance and application of the models is dealt in detail. The problem of Replacement is discussed in Chapter-7. Inventory model with certain topics like ABC, VED, FSN, p-system and q-system is discussed to make the students aware of the importance of Inventory model. Chapter-9 deals with Waiting line model and its application with certain useful problems and their solutions. Game theory or Competitive theory is discussed in Chapter-10 with certain problems, which have their application in real world situation. Dynamic programming is dealt in Chapter-11. The problems worked out have practical significance. Chapter-12 deals with Decision theory where the usefulness of decision tree is discussed. Non-Linear programming is briefly discussed in Chapter-14 with certain useful problems. In Chapter -15, the two network techniques i.e. PERT and CPM have been discussed with typical worked out examples. At the end of the book, objective type questions, which are helpful for competitive examinations are given to help the students to prepare for such examinations. Contents: Historical Development Linear Programming Models (Resource AllocationModels) Linear Programming Models (Solution by Simplex Method) LinearProgramming-II (Transportation Problem) Linear Programming-III (AssignmentModel Sequencing Model Replacement Model Inventory Control Waiting Line theory or Queuing Model Theory of Games of CompetitiveStrategies Dynamic Programming Decision Theory Simulation Introduction Non-Linear Programming Programme Evaluation and ReviewTechnique and Critical Path Method (PERT and CPM).
Primarily intended for postgraduate students of management and computer applications, this book presents the theory and applications of operations research in an easy-to-read style. It introduces the readers to various models of operations research, such as transportation model, assignment model, inventory model, queuing model, replacement model, sequencing model, and integer programming model. The various methods to solve real-life problems faced by managers are also fully analyzed. Separate chapters are devoted to Linear Programming, Decision Theory, Game Theory, Dynamic Programming, and Project Management, which greatly help the decision-making process. The text features numerous fully worked-out examples, a fairly large number of exercises, and end-of-chapter theoretical questions which enhance the value of the text. Besides postgraduate students of management (MBA), computer applications (MCA), commerce, mathematics, and statistics, students of engineering will also find this text extremely useful.
Written With The Dual Purpose Of In Depth Study Of Operations Research And Creating An Awareness About Its Applicability The Third Edition Of The Book Covers Diverse Topics Such As Linear Programming, Network Planning, Inventory Control, Waiting Line Problems, Simulation, Problems Of Replacement, Reliability And Elements Of Non-Linear Programming With Appropriate Rigour. It Also Includes Real Life Applications Of Operations Manufacturing To Make The Readers Familiar With Operations Research Methodology. The Book Also Contains Numerous Examples And Exercises With Answers To Help The Students Develop Problem Solving Skill. The New Edition Also Presents Computer Programmes To Be Used On A Personal Computer For The Benefit Of The Students With A Computer Orientation.
The meaning, scope, and methods of operations research. Decision and value theory. A survey of inventory theory from the operations research viewpoint. Mathematical programming. Dynamic programming. Dynamics of operational systems: markov and queuing processes. Sequencing theory. replacement theory. The theory and application of simulation in operations research. military gaming. Progress in operations research: the challenge of the future.
In a rapidly developing field like Operations Research, its easy to get overwhelmed by the variety of topics and analytic techniques. Paul Jensen and Jonathan Bard help you master the expensive field by focusing on the fundamental models and methodologies underlying the practice of Operations Research. Bridging the gap between theory and practice, the author presents the quantitative tools and models most important to understanding modern operations research. You'll come to appreciate the power of OR techniques in solving real-world problems and applications in your own field. You'll learn how to translate complex situations into mathematical models, solve models and turn models into solutions. This text is designed to bridge the gap between theory and practice by presenting the quantitative tools and models most suited for modern operations research. The principal goal is to give analysts, engineers, and decision makers a larger appreciation of their roles by defining a common terminology and by explaining the interfaces between the underlying methodologies. Features Divides each subject into methods and models, giving you greater flexibility in how you approach the material. Concise and focused presentation highlights central ideas. Many examples throughout the text will help you better understand mathematical material.