Publisher's Synopsis
Optimization Methods in Operations Research and System Analysis Book Description The mathematical aspects of Operations Research and Systems Analysis concerned with optimization of objectives form the subject of this book. In its revised, updated and enlarged third edition, discussion on linear programming has been expanded and recast with greater emphasis on duality theory, sensitivity analysis, parametric programming, multi objective and goal programming and formulation and solution of practical problems. Chapters on nonlinear programming include integer programming, Kuhn-Tucker theory, separable and quadratic programming, dynamic programming, geometric programming and direct search and gradient methods. A chapter on Theory of Games is also included. A short note on Karmarkar`s projective algorithm is given in the appendix. The book keeps in view the needs of the student taking a regular course in operations research or mathematical programming, and also of research scholars in other disciplines who have a limited objective of learning the practical aspects of various optimization methods to solve their special problems. For the former, illustrative solved examples and unsolved examples at the end of each chapter, small enough to be solved by hand, would be of greater interest, while for the latter, summaries of computational algorithms for various methods which would help him to write computer programmes to solve larger problems would be more helpful. A few computer programmes in Fortran IV have also been given in the appendix. About the Author(s): K.V. Mittal (b.1918). M.Sc. (Mathematics and Physics), Allahabad University; Ph.D., Roorkee University (Now IIT, Roorkee). Lecturer in Mathematics, Mahakoshal Mahavidyalaya, Jabalpur, 1949-50. Joined Roorkee University as Lecturer in 1950, and retired as Professor of Mathematics in 1979. Visited Case Institute of Technology (now Case-Western Reserve University), USA. in 1964-65 for research. Visiting Professor of M