Accession Number:

AD0647551

Title:

AN ALGORITHM FOR THE QUADRATIC ASSIGNMENT PROBLEM,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES WESTERN MANAGEMENT SCIENCE INST

Personal Author(s):

• Graves,G. W.
• Whinston,A. B.

Report Date:

1966-11-01

Pagination or Media Count:

41.0

Abstract:

The paper presents a new approach to solving a class of combinatorial economic allocation problems. One member of this class is known as the quadratic assignment problem. Besides presenting an algorithm to solve this problem, the authors discuss in general terms the techniques for treating combinatorial problems. A novel feature of the paper is the development of the statistical properties of the criterion function. These statistical properties are used in conjunction with a general ennumerative procedure to form the main parts of the algorithm. Using the idea of confidence level ennumeration an extension of the algorithm is proposed which should allow for the effective treatment of large scale combinatorial problems. Finally they present some computational results in order to illustrate the effectiveness of the general approach. Author

Descriptors:

• (*ALGORITHMS
• *QUADRATIC PROGRAMMING)
• (*ECONOMICS
• *COMBINATORIAL ANALYSIS)
• SCHEDULING
• LINEAR PROGRAMMING
• OPTIMIZATION
• FEASIBILITY STUDIES

Subject Categories:

• Economics and Cost Analysis
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE