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Reliability bounds for multicriteria systems.

Montero de Juan, Francisco Javier (1993) Reliability bounds for multicriteria systems. Journal of the Operational Research Society, 44 (10). pp. 1025-1034. ISSN 0160-5682

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Abstract

This paper deals with general structure functions, where arbitrary degrees of performance between perfect functioning and complete failure are allowed for each component and the n-component system itself. We make the assumption that the n-component system can be modelled as a structure function given by a mapping phi:L(n) --> L0k, L and L0 being two linearly ordered sets, so that the performance of the system is evaluated according to k single criteria. Global concepts of minimal path and minimal cut are discussed for these multicriteria systems; general reliability bounds based on them are deduced and compared with those given in previous papers.

Item Type:Article
Uncontrolled Keywords:Reliability theory: Reliability bounds; Structure functions
Subjects:Sciences > Mathematics > Operations research
ID Code:16850
References:

J. MONTERO, J. TEJADA and J. YAÑEZ (1993) Multi-valued continuum systems. To appear in Eur. J. OpI Res.

2. J. MONTERO, J. TEJADA and J. YAÑEZ (1993) General structure functions. To appear in Kybernetes.

L. A. BAXTER (1984) Continuum structures I. J. AppI. Prob. 21, 802-815.

H. W. BLOCK and T. H. SAVITS (1984) Continuous multistate structure functions. Opns Res. 32, 703-714.

R. E. BARLOW and B. PROSCHAN (1975) Statistical Theory of Reliability and Life Testing. Holt-Reinehart-Winston,New York.

S. WILLARD (1970) General Topology. Addison-Wesley, Reading.

J. MONTERO, J. TEJADA and J. YANEZ(1990) Structural properties of continuum systems. Eur. J. Op1 Res. 45, 231-240.

B. NATVIG (1982) Two suggestions of how to define a multistate coherent system. Adv. in AppI. Prob. 41, 434-455.

Deposited On:24 Oct 2012 08:32
Last Modified:24 Oct 2012 08:32

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