Title
An Approach to Zero-One Integer Programming
Abstract
By starting with an all-integer zero-one linear programming problem, it is possible to develop a modified, possibly linear, programming problem that provides a characterization of the basis corresponding to a feasible zero-one solution to the integer problem. This characterization is based on the number of variables equal to one in the feasible solution. This paper develops an approach to zero-one programming based on this characterization. The method uses the criterion function of the original problem as a constraint, and then generates a sequence of feasible zero-one solutions, each with a greater value of the objective function. The solution technique is terminated when no more feasible solutions can be found, indicating that the last feasible solution determined is the optimum.
Year
DOI
Venue
1968
10.1287/opre.16.6.1206
Operations Research
Field
DocType
Volume
Linear-fractional programming,Constraint satisfaction,Cutting-plane method,Mathematical optimization,Active set method,Branch and price,Integer programming,Cutting stock problem,Linear programming,Mathematics
Journal
16
Issue
ISSN
Citations 
6
0030-364X
4
PageRank 
References 
Authors
9.93
1
2
Name
Order
Citations
PageRank
A. V. Cabot12118.17
A. P. Hurter27838.65