Article Outline
Keywords
Scope and Applicability
Combinatorial Optimization
Solution Methods
The State of the Art
See also
References
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Balas E (1965) An additive algorithm for solving linear programs with 0-1 variables. Oper Res 13:517–546
Balas E (1979) Disjunctive programming. Ann Discret Math 5:3–51
Balas E (1998) Disjunctive programming: Properties of the convex hull of feasible points. Discrete Appl Math 89:1–44, Invited paper with a foreword by G. Cornuéjols and W.R. Pulleyblank. Originally MSRR 348 Carnegie-Mellon Univ., July 1974.
Balas E, Ceria. S, Cornuéjols G (1993) A lift-and-project cutting plane algorithm for mixed 0-1 programs. Math Program 58:295–324
Balas E, Ceria. S, Cornuéjols G (1996) Mixed 0-1 programming by lift-and-project in a branch-and-cut framework. Managem Sci 42:1229–1246
Chvátal V (1973) Edmonds polytopes and a hierarchy of combinatorial problems. Discret Math 4:305–337
Cook WJ, Cunningham WH, Pulleyblank WR, Schrijver A (1997) Combinatorial optimization. Wiley, New York
Edmonds J (1965) Maximum matching and a polyhedron with 0-1 vertices. J Res Nat Bureau Standards 69B:125–130
Gomory R (1963) An algorithm for integer solutions to linear programs. In: Graves R, Wolfe P (eds) Recent Advances in Mathematical Programming. McGraw-Hill, New York, pp 269–302
Hoffman AJ, Kruskal JB (1956) Integral boundary points of convex polyhedra. In: Kuhn HW, Tucker AW (eds) Linear Inequalities and Related Systems. Princeton Univ. Press, Princeton, pp 223–246
Land AH, Doig AG (1960) An automatic method for solving discrete programming problems. Econometrica 28:497–520
Lawler EL Lenstra JK, Rinrooy Kan AHG, Shmoys DB (eds) (1985) The traveling salesman problem: AÂ guided tour of combinatorial optimization. Wiley, New York
Lov´sz L, Schrijver A (1991) Cones of matrices and set functions and 0-1 optimization. SIAM J Optim 1:166–190
Nemhauser GL, Savelsbergh MWP, Sigismondi G (1994) MINTO, a mixed integer optimizer. Oper Res Lett 15:47–58
Nemhauser GL, Wolsey L (1988) Integer and combinatorial optimization. Wiley, New York
Parker G, Rardin R (1988) Discrete optimization. Acad. Press, New York
Schrijver A (1986) Theory of linear and integer programming. Wiley, New York
Sherali H, Adams W (1990) A hierarchy of relaxations between the continuous and convex hull presentations for 0-1 programming problems. SIAM J Discret Math 3:411–430
Thienel S (1995) ABACUS: a branch-and-cut system. PhD Thesis Dept. Computer Sci. Univ. Cologne
Wolsey L (1998) Integer programming. Wiley, New York
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag
About this entry
Cite this entry
Balas, E. (2008). Integer Programming . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_284
Download citation
DOI: https://doi.org/10.1007/978-0-387-74759-0_284
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-74758-3
Online ISBN: 978-0-387-74759-0
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering