Publication: Reliability bounds for multicriteria systems.
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1993
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Stockton Press
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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.
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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.
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H. W. BLOCK and T. H. SAVITS (1984) Continuous multistate structure functions. Opns Res. 32, 703-714.
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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.