Title: Combinatorial Optimization: Packing and Covering: 74 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 74)
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 1987
Language: English
ISBN 10: 0898714818
ISBN 13: 9780898714814
Binding: Soft cover
Condition: New

About this title

Synopsis

This monograph presents new and elegant proofs of classical results and makes difficult results accessible. The integer programming models known as set packing and set covering have a wide range of applications. Sometimes, owing to the special structure of the constraint matrix, the natural linear programming relaxation yields an optimal solution that is integral, thus solving the problem. Sometimes, both the linear programming relaxation and its dual have integral optimal solutions. Under which conditions do such integrality conditions hold? This question is of both theoretical and practical interest. Min-max theorems, polyhedral combinatorics, and graph theory all come together in this rich area of discrete mathematics. This monograph presents several of these beautiful results as it introduces mathematicians to this active area of research.

About the Author

Dr. G�rard Cornu�jols, a professor at Carnegie Mellon University in Pittsburgh, Pennsylvania, is a past co-winner of the Lanchester Prize (1977) and the Fulkerson Prize (2000) and is a co-developer of MIPO, a mixed integer optimizer. He is editor-in-chief of Mathematics of Operations Research and is currently involved in research in combinatorial optimization, graph theory, and integer programming.

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