Accession Number:

AD0626982

Title:

STRUCTURAL SENSITIVITY ANALYSIS IN LINEAR PROGRAMMING AND AN EXACT PRODUCT FROM LEFT INVERSE

Descriptive Note:

Management sciences research rept.

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA GRADUATE SCHOOL OF INDUSTRIAL ADMINISTRATION

Personal Author(s):

• Cooper, W. W.
• Charnes, A.

Report Date:

1965-12-15

Pagination or Media Count:

11.0

Abstract:

This paper shows how to obtain an exact inverse in the form of a product modification to a given inverse when the matrix has been altered additively by a matrix of a certain class. Explicit formulae are derived for sensitivity analyses, e.g., in linear programming, wherein the elements of the structural matrix are to be varied.

Descriptors:

• *COMPUTER PROGRAMMING
• FORMULAS(MATHEMATICS)
• INVERSION
• MATRICES(MATHEMATICS)
• MODEL THEORY
• MODIFICATION
• NETWORKS
• OPTIMIZATION
• PAPER
• SENSITIVITY
• STRUCTURAL ANALYSIS
• STRUCTURAL PROPERTIES
• TRANSPORTATION

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE