Efficient reliability computation of a multi-state flow network with cost constraint

Yi-Feng Niu, Yi-Fan Song, Xiu-Zhen Xu and Xia Zhao

Reliability Engineering and System Safety, 2022, vol. 222, issue C

Abstract: The reliability and cost integrated performance measure R(d,b) of a multi-state flow network, defined as the probability of sending a flow of d units from the source to the sink with the total transmission cost no more than b, can be computed by means of (d, b)-minimal paths ((d, b)-MPs). The existing methods search for (d, b)-MPs by solving a large Diophantine system or several Diophantine subsystems that are shown to be NP-hard, then the computational efforts are prohibitive. This paper proposes a new search method for (d, b)-MPs, and major contributions include: (1) a correlation between (d, b)-MPs and minimum cost circulations is established, enabling the solution of (d, b)-MPs to be accomplished via minimum cost circulations; (2) a distinctive method merging the well-known capacity scaling algorithm and a decomposition technique is presented to find (d, b)-MPs. In contrast to the existing methods, the presented algorithm seeks for (d, b)-MPs without depending upon the solutions of Diophantine system and generating any duplicate (d, b)-MPs. An illustration of the proposed algorithm is presented, and computational results indicate the advantage of our algorithm over the existing methods.

Keywords: Multi-state flow network; Reliability; Cost; (d, b)-minimal path; Minimum cost circulation (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832022000680
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:222:y:2022:i:c:s0951832022000680

DOI: 10.1016/j.ress.2022.108393

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().