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© 2019

Advanced Optimization and Operations Research

Textbook

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

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 1-11
  3. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 13-27
  4. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 29-78
  5. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 79-108
  6. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 109-125
  7. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 127-136
  8. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 137-169
  9. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 171-195
  10. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 197-210
  11. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 211-247
  12. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 249-267
  13. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 269-302
  14. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 303-366
  15. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 367-402
  16. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 403-486
  17. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 487-519
  18. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 521-579
  19. Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh
    Pages 581-613
  20. Back Matter
    Pages 615-621

About this book

Introduction

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.

Keywords

optimization text operations research text graduate optimization text operations research text inventory control project management reliability theory game theory network flow convex functions concave functions simplex method dual simplex method bounded variable technique linear programming problem integer programming quadratic programming queueing theory network flow

Authors and affiliations

  1. 1.Department of MathematicsThe University of BurdwanRajbatiIndia
  2. 2.Department of MathematicsRaniganj Girls' CollegeSearsole RajbariIndia
  3. 3.Department of MathematicsThe University of BurdwanRajbatiIndia

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.

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