Hierarchical multi-objective decision system for general resource allocation problems

Journal Article · Tue Dec 01 04:00:00 EST 1981 · J. Optimization Theory Appl.; (United States)

DOI:https://doi.org/10.1007/BF00934930· OSTI ID:5118964

Shimizu, K; Aiyoshi, E

We consider optimization methods for hierarchical power- decentralized systems composed of a coordinationg central system and plural semi-autonomous local systems in the lower level, each of which possesses a decision making unit. Such a decentralized system where both central and local systems possess their own objective function and decision variables is a multi-objective system. The central system allocates resources so as to optimize its own objective, while the local systems optimize their own objectives using the given resources. The lower level composes a multi-objective programming problem, where local decision makers minimize a vector objective function in cooperation. Thus, the lower level generates a set of noninferior solutions, parametric with respect to the given resources. The central decision maker, then, parametric with respect to the given resources. The central decision maker, then, chooses an optimal resource allocation and the best corresponding noninferior solution from among a set of resource- parametric noninferior solutions. A computational method is obtained based on parametric nonlinear mathematical programming using directional derivatives. This paper is concerned with a combined theory for the multi-objective decision problem and the general resource allocation problem.

• Research Organization: Faculty of Engineering, Keio University, Yokohama
• OSTI ID: 5118964
• Journal Information: J. Optimization Theory Appl.; (United States), Journal Name: J. Optimization Theory Appl.; (United States) Vol. 35:4; ISSN JOTAB
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990100* -- Management
ALLOCATIONS
DECISION MAKING
NONLINEAR PROGRAMMING
PARAMETRIC ANALYSIS
PLANNING
PROGRAMMING
RESOURCES