Hierarchical multi-objective decision systems for general resource allocation problems

K. Shimizu, E. Aiyoshi

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider optimization methods for hierarchical power-decentralized systems composed of a coordinating 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.

Original languageEnglish
Pages (from-to)517-533
Number of pages17
JournalJournal of Optimization Theory and Applications
Volume35
Issue number4
DOIs
Publication statusPublished - 1981 Dec

Fingerprint

Decision System
Resource Allocation
Resource allocation
Local System
Resources
Parametric Solutions
Nonlinear programming
Computational methods
Decision making
Decentralized
Derivatives
Objective function
Optimise
Directional derivative
Multiobjective Programming
Optimal Allocation
Autonomous Systems
Mathematical Programming
Nonlinear Programming
Decision problem

Keywords

  • decentralized systems
  • multi-objective systems
  • nonlinear programming
  • resource allocation
  • Two-level planning

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics
  • Management Science and Operations Research

Cite this

Hierarchical multi-objective decision systems for general resource allocation problems. / Shimizu, K.; Aiyoshi, E.

In: Journal of Optimization Theory and Applications, Vol. 35, No. 4, 12.1981, p. 517-533.

Research output: Contribution to journalArticle

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