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- W90360222 abstract "This chapter highlights zero-one equivalence of the integer problem and the concept of implicit enumeration. The concept of implicit enumeration has been developed for the problem in which all the objective and constraint functions are linear. This is generalized to include the non-linear problem. In the mixed zero-one problem, the presentation is limited to the case where the objective and constraint functions are linear. The chapter highlights the importance of the zero-one problem by showing that every general integer problem can be converted to an equivalent binary problem. A theorem relating the solution of the zero-one problem to the extreme points of the solution space of the equivalent linear program has been presented. In a linear zero-one problem, mixed or pure, it is assumed that the integer constraint is replaced by a continuous range; then, the resulting continuous solution space contains no feasible points in its interior, and the optimum feasible solution of the integer problem occurs at an extreme point of the convex space." @default.
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- W90360222 date "1975-01-01" @default.
- W90360222 modified "2023-09-26" @default.
- W90360222 title "Zero–One Implicit Enumeration" @default.
- W90360222 doi "https://doi.org/10.1016/b978-0-12-682150-5.50008-8" @default.
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