Accession Number:

AD0779139

Title:

Nondominated Decisions and Cone Convexity in Dynamic Multicriteria Decision Problems.

Descriptive Note:

Research rept.,

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s):

• Yu,P. L.
• Leitmann,G.

Report Date:

1973-10-01

Pagination or Media Count:

21.0

Abstract:

The concepts of domination structures and of nondominated decisions are extended to dynamic decision problems. Previously derived results are used in conjunction with optimal control theory to deduce necessary as well as sufficient conditions for nondominated controls. Cone convexity for dynamic problems is discussed and sufficient conditions are given for a class of linear systems. Author

Descriptors:

• *Decision theory
• *Control theory
• Linear systems
• Matrices(Mathematics)
• Convex sets
• Optimization
• Theorems

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE