A multistate monotone system signature

Bueno, Vanderlei da Costa

doi:10.1016/j.spl.2013.07.009

Cited by 12 publications

(3 citation statements)

References 15 publications

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“…For example, Gertsbakh et al [19] considered a binary-state system with ternary-state components and investigated its ternary D-spectrum. Da Costa Bueno [12] defined a multi-state monotone system signature for multi-state systems whose components have exchangeable lifetimes in each state. Eryilmaz and Tuncel [14] proposed a generalized survival signature for multi-state systems that are in state j if j different rules are satisfied.…”

Section: Table 1 Comparisons Of Signature Computation Methods For Bin...mentioning

confidence: 99%

Signatures of Multi-State Systems Based on a Series/Parallel/Recurrent Structure of Modules

Yi¹,

Li²

2021

Prob. Eng. Inf. Sci.

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In this paper, we consider multi-state coherent systems that can be regarded as a series/parallel/recurrent connection of multi-state modules with binary/multi-state components. The multi-state (survival) signatures of such systems are presented in terms of multi-state (survival) signatures of related modules based on the structures. For a recurrent structure, the multi-state survival signature of the structure is also needed. The results established here are finally illustrated with a number of examples.

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Section: Table 1 Comparisons Of Signature Computation Methods For Bin...mentioning

confidence: 99%

Signatures of Multi-State Systems Based on a Series/Parallel/Recurrent Structure of Modules

Yi¹,

Li²

2021

Prob. Eng. Inf. Sci.

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“…Eryilmaz and Tuncel [10] generalized the survival signature to a certain class of multi-state systems with multi-state components that is in state j or above if j different rules get satisfied. Da Costa Bueno [9] introduced a multi-state monotone system signature for a multi-state system with multi-state components, with the lifetimes of components at different levels being all exchangeable. Yi et al [36] provided a new computational method for survival signatures of multi-state consecutive- k systems with multi-state components.…”

Section: Introductionmentioning

confidence: 99%

Equivalency in joint signatures for binary/multi-state systems of different sizes

Yi¹,

Li²

2021

Prob. Eng. Inf. Sci.

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The joint signatures of binary-state and multi-state (semi-coherent or mixed) systems with i.i.d. (independent and identically distributed) binary-state components are considered in this work. For the comparison of pairs of binary-state systems of different sizes, transformation formulas of their joint signatures are derived by using the concept of equivalent systems and a generalized triangle rule for order statistics. Similarly, for facilitating the comparison of pairs of multi-state systems of different sizes, transformation formulas of their multi-state joint signatures are also derived. Some examples are finally presented to illustrate and to verify the theoretical results established here.

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“…Marichal and Mathonet (2013) evaluated the reliability function, signature, tail signature of the coherent system from the diagonal section by derivatives and with the help of structure function. Da Costa Bueno (2013) obtained the structure function of the multi-state monotone system by using a decomposition of multi-state systems. Franko and Tutuncu (2016) computed the reliability of repairable weighted A-out-of-G:G system in case of signature.…”

Section: Introductionmentioning

confidence: 99%

Signature of A-Within-B-From-D/G Sliding Window System

Kumar¹,

Singh

2019

Int J Math, Eng, Manag Sci

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In this study, we have proposed a model of the sliding window coherent system in case of multiple failures. The considered model consists of G linearly required multi-state elements and G number of parallel elements in A-within-B-from-D/G for each multi-state. The system fails if at least A group elements out of B consecutive of D consecutive multi-state elements have performance lower than the weight w. We have evaluated the signature reliability, expected value and system sensitivity on the basis of the extended universal generating function of the considered system.

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A multistate monotone system signature

Cited by 12 publications

References 15 publications

Signatures of Multi-State Systems Based on a Series/Parallel/Recurrent Structure of Modules

Signatures of Multi-State Systems Based on a Series/Parallel/Recurrent Structure of Modules

Equivalency in joint signatures for binary/multi-state systems of different sizes

Signature of A-Within-B-From-D/G Sliding Window System

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