On Designing a Reliable Hierarchical Structure

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 32, pages 418-430 (issn: 0036-1399, eissn: 1095-712X,

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Authors: Goodman, S.; Shier, D.;

doi: 10.1137/0132034

On Designing a Reliable Hierarchical Structure

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Abstract

This paper considers the design and analysis of a class of managerial structures which are perhaps best illustrated by a spy network. The problem is formulated as a reliability problem on organizational trees, and two probabilistic performance measures are studied. With respect to either measure, it is possible to analyze the value of any given hierarchical structure. In addition, optimal organizational designs can be synthesized with respect to either criterion using for the one a dynamic programming approach and for the other a graph-theoretic solution method.

Keywords

Trade models, Reliability, availability, maintenance, inspection in operations research, Hamilton-Jacobi theories, Mathematical programming

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