Multiple objectives decomposition–coordination methods for hierarchical organizations

Multiple objectives decomposition–coordination methods for hierarchical organizations

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Article ID: iaor20021628
Country: Netherlands
Volume: 133
Issue: 2
Start Page Number: 323
End Page Number: 341
Publication Date: Sep 2001
Journal: European Journal of Operational Research
Authors: , , , ,
Keywords: programming: multiple criteria
Abstract:

In this paper, the integration of goal programming models and hierarchical programming models is analyzed. The systems under study are assumed to consist of interconnected subsystems with multiple goals in each. Three possible cases regarding the number of decision makers will be considered: (1) one decision maker for the overall goals and one decision maker for each subsystem, (2) conflicting decision makers who are interested in their subsystems, and (3) just one decision maker for the overall system. Next, conditions are stated under which the problem of obtaining satisfying solutions for problems (1) and (3) can be reduced to the problem of obtaining satisfying solutions for the case (2). In order to determine such solutions, hierarchical techniques which exploit the structure of a decomposable system are analyzed. The empirical implementation of the two algorithms proposed shows their efficiency in terms of processing time.

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