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Combinatorial Optimization: Some Aspects
Editor(s): Rita Malhotra, C.S. Lalitha, Pankaj Gupta, Aparna Mehra, Sonia

ISBN:    978-81-7319-815-1 
E-ISBN:   
Publication Year:   2007
Pages:   266
Binding:   Hard Back
Dimension:   185mm x 240mm
Weight:   750




About the book

Combinatorial Optimization comprises research-level linear and combinatorial problems together with algorithms and solution-procedures to solve them. The growing need of the industry and the increase in complexity of conglomerates and multinationals entail focus on two very significant classes of problems namely Transportation and Assignment Problems included in this volume. Far-reaching variants of these problems like the Multi-index and Multi-objective Problems, Bulk Transportation Problems, Flow and Budgetary Constrained Transportation Problems and the Three-Axial Sums Problems are investigated and analysed. Extensions to the Two-Stage and Bi-level Allocation Problems form the salient features of the book. Practical applications of the problems examined are also discussed. This volume opens new avenues for research in the field of allocation problems.



Table of Contents

Opine / Foreword / Preface / SECTION-1: Variants of the Standard Transportation Problem – Time Minimizing Solid Transportation Problem / Pricing of Bottlenecks at Optimal Time in a Transportation Problem / On Bi-criteria Transportation Problem / SECTION-2: Flow Constrained Transportation Problems – Flow Constrained Transportation Problem with Mixed Type of Supply Point and Determination Constraints / Maximizing Transportation Flow under Budgetary Constraint / Constrained Transportation Problem with Upper and Lower Bounds on Row-availabilities and Destination Requirements / SECTION-3: Lexicographic Approach to Solve Transportation Problems – On Lexicographic Optimal Solutions in Transportation Problems / On a Standard Time Transportation Problem / Section-4: Two Stage Time Minimizing Transportation Problems – A Polynomial Algorithm for a Two-stage Time Minimizing Transportation Problem / Two Stage Interval Time Minimizing Transportation Problem / Section-5: Transportation Problems with Axial Constraints – The ‘Three Axial Sums’ Problem with Capacity Restrictions / Cost-time Trade-off in ‘Three-axial Sums’ Transportation Problem / Section-6: Bulk Transportation Problems – A Branch and Bound Procedure for Cost Minimizing Bulk Transportation Problem / Time-cost Trade-off Relations in Bulk Transportation Problem / Section-7: Variants of the Standard Assignment Problem – Variants of the Assignment Problem / The Three Dimensional Bottleneck Assignment Problem and its Variants / The Bicriteria Assignment Problem / Section-8: Lexi-search Approach to Solve Assignment Problems – Minimization of Makespan in Generalized Assignment Problem / A Lexi-search Algorithm for a Time Minimizing Assignment Problem / Section-9: Two-stage Time Minimizing Assignment Problems – Two-stage Time Minimizing Assignment Problem / Bilevel Time Minimizing Assignment Problem / References.




Audience

Undergraduate Students & Researchers in Mathematics


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