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  • © 2019

Advanced Optimization and Operations Research

  • Serves as a textbook for optimization and operations research
  • Discusses topics like dynamic and fuzzy inventory models, infinite game, flow network and optimization of queuing problems
  • Includes a number of solved problems and detailed examples in all chapters
  • Is suitable for coursework and independent study
  • Is fashioned for easy comprehension of the subject matter

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 153)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction to Operations Research

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 1-11
  3. Convex and Concave Functions

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 13-27
  4. Simplex Method

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 29-78
  5. Revised Simplex Method

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 79-108
  6. Dual Simplex Method

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 109-125
  7. Bounded Variable Technique

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 127-136
  8. Post-optimality Analysis in LPPs

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 137-169
  9. Integer Programming

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 171-195
  10. Basics of Unconstrained Optimization

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 197-210
  11. Constrained Optimization with Equality Constraints

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 211-247
  12. Constrained Optimization with Inequality Constraints

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 249-267
  13. Quadratic Programming

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 269-302
  14. Game Theory

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 303-366
  15. Project Management

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 367-402
  16. Queueing Theory

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 403-486
  17. Flow in Networks

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 487-519
  18. Inventory Control Theory

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 521-579
  19. Mathematical Preliminaries

    • Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 581-613
  20. Back Matter

    Pages 615-621

About this book

This textbook provides students with fundamentals and advanced concepts in optimization and operations research. It gives an overview of the historical perspective of operations research and explains its principal characteristics, tools, and applications. The wide range of topics covered includes convex and concave functions, simplex methods, post optimality analysis of linear programming problems, constrained and unconstrained optimization, game theory, queueing theory, and related topics. The text also elaborates on project management, including the importance of critical path analysis, PERT and CPM techniques. This textbook is ideal for any discipline with one or more courses in optimization and operations research; it may also provide a solid reference for researchers and practitioners in operations research.

Authors and Affiliations

  • Department of Mathematics, The University of Burdwan, Rajbati, India

    Asoke Kumar Bhunia, Ali Akbar Shaikh

  • Department of Mathematics, Raniganj Girls' College, Searsole Rajbari, India

    Laxminarayan Sahoo

About the authors

ASOKE KUMAR BHUNIA is Professor at the Department of Mathematics, The University of Burdwan, West Bengal, India. He obtained his Ph.D. degree in Mathematics and M.Sc. in Applied Mathematics from Vidyasagar University, India. His research interests include computational optimization, soft computing, interval mathematics, and interval ranking. He has published over 125 research papers in various national and international journals of repute. He is a reviewer of several SCI journals. He has guided 13 Ph.D. and two M.Phil. students. An author of four research monographs and six book chapters, he is an INSA visiting fellow and former Associate Editor of the Springer’s journal, OPSEARCH.

LAXMINARAYAN SAHOO is Assistant Professor at the Department of Mathematics, Raniganj Girls’ College, West Bengal, India. He obtained his Ph.D. in Mathematics from The University of Burdwan and M.Sc. in Applied Mathematics from Vidyasagar University, India. His research interests include reliability optimization, computational optimization, artificial intelligence, soft computing, interval mathematics, interval ranking, and fuzzy mathematics. He has published several research papers in various national and international journals of repute. He has received MHRD fellowship from the Government of India and the Prof. M.N. Gopalan Award for the Best Ph.D. Thesis in Operations Research from the Operational Research Society of India.

ALI AKBAR SHAIKH is Assistant Professor of Mathematics at The University of Burdwan, West Bengal, India. Earlier, he was a postdoctoral fellow at the School of Engineering and Sciences of Tecnológico de Monterrey, México. He has obtained the award SNI of level 1 (out of 0-3) presented by the National System of Researchers of México from the Government of México in the year 2017. He earned his Ph.D. and M.Phil. degrees in Mathematics from The University of Burdwan, and M.Sc. in Applied Mathematics from the University of Kalyani, India. Dr. Shaikh has published over 37 research papers in different international journals of repute. His research interests include inventory control, interval optimization, and particle swarm optimization.

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access