Accession Number:

AD0773610

Title:

Integer and Mixed-Integer Programming Models: General Properties.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1973-12-01

Pagination or Media Count:

26.0

Abstract:

OGRAMMING, Nonlinear programming, Linear programming, Optimization, TheoremsInteger programming, Mixed integer programmingIt is well-known that mixed-integer formulations can be used to model important classes of non-convex functions such as fixed-charge functions and linear economy-of-scale cost functions. The purpose of the paper is to formulate a rigorous definition of a mixed-integer model of a given function, and to study the properties of the functions that can be so modelled. An interesting by-product of this approach is the identification of a simple class of functions that cannot be modelled by computer-representable mixed-integer formulations, even though mixed-integer models based on the use of a single arbitrary irrational constant are available for this class. Author

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE