# Accession Number:

## AD0677982

# Title:

## INTEGER PROGRAMMING OVER A CONE.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

# Personal Author(s):

# Report Date:

## 1968-07-12

# Pagination or Media Count:

## 30.0

# Abstract:

The properties of a special form integer programming problem are discussed. We restrict ourselves to optimization over a cone a set of n constraints in n unconstrained variables with a square matrix of positive diagonal and non positive off-diagonal elements. It is shown that a simple iterational process gives the optimal integer solution in a finite number of steps. It is then shown that any cone problem with bounded rational solution can be transformed to the bounding form and hence solved by the outlined method. Some extensions to more than n constraints are discussed and a numerical example is shown to solve a bigger problem. Author

# Descriptors:

# Subject Categories:

- Operations Research
- Computer Programming and Software