IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v33y2005i3p203-209.html
   My bibliography  Save this article

A new approach to evaluate reliability of multistate networks under the cost constraint

Author

Listed:
  • Yeh, Wei-Chang

Abstract

A multistate network is a system composed of multistate components. The network reliability under the cost constraint for level (d,c) can be computed in terms of (d,c)-MP (MP stands for minimal path) which is a vector such that d units of flow can be transmitted between two specified nodes with the total cost not greater than c. In this study, a new algorithm was developed to evaluate the reliability of multistate networks under cost constraint in terms of the entire (d,c)-MPs. The proposed method is more efficient than the best-known existing algorithm. One example is illustrated to show how all (d,c)-MPs are generated by the proposed algorithm. The reliability of this example is then computed. The computational complexity of the proposed algorithm is also analyzed.

Suggested Citation

  • Yeh, Wei-Chang, 2005. "A new approach to evaluate reliability of multistate networks under the cost constraint," Omega, Elsevier, vol. 33(3), pages 203-209, June.
  • Handle: RePEc:eee:jomega:v:33:y:2005:i:3:p:203-209
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(04)00065-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Joseph C. Hudson & Kailash C. Kapur, 1985. "Reliability Bounds for Multistate Systems with Multistate Components," Operations Research, INFORMS, vol. 33(1), pages 153-160, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yi-Kuei Lin & Cheng-Fu Huang, 2016. "Reliability evaluation according to a routing scheme for multi-state computer networks under assured accuracy rate," Annals of Operations Research, Springer, vol. 244(1), pages 221-240, September.
    2. Yeh, Wei-Chang, 2007. "An improved sum-of-disjoint-products technique for the symbolic network reliability analysis with known minimal paths," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 260-268.
    3. Kozyra, Paweł Marcin, 2023. "The usefulness of (d,b)-MCs and (d,b)-MPs in network reliability evaluation under delivery or maintenance cost constraints," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    4. Lin, Yi-Kuei, 2007. "Reliability of a computer network in case capacity weight varying with arcs, nodes and types of commodity," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 646-652.
    5. Niu, Yi-Feng & Song, Yi-Fan & Xu, Xiu-Zhen & Zhao, Xia, 2022. "Efficient reliability computation of a multi-state flow network with cost constraint," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    6. Yeh, Wei-Chang, 2006. "The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function method," Reliability Engineering and System Safety, Elsevier, vol. 91(7), pages 800-808.
    7. Lin, Yi-Kuei, 2010. "A stochastic model to study the system capacity for supply chains in terms of minimal cuts," International Journal of Production Economics, Elsevier, vol. 124(1), pages 181-187, March.
    8. Xu, Xiu-Zhen & Zhou, Run-Hui & Wu, Guo-Lin & Niu, Yi-Feng, 2024. "Evaluating the transmission distance-constrained reliability for a multi-state flow network," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    9. Yi-Kuei Lin & Cheng-Fu Huang, 2013. "Assessing reliability within error rate and time constraint for a stochastic node-imperfect computer network," Journal of Risk and Reliability, , vol. 227(1), pages 80-85, February.
    10. Chin‐Chia Jane & Yih‐Wenn Laih, 2012. "Evaluating cost and reliability integrated performance of stochastic logistics systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(7), pages 577-586, October.
    11. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2012. "Determining the optimal double-component assignment for a stochastic computer network," Omega, Elsevier, vol. 40(1), pages 120-130, January.
    12. Lin, Yi-Kuei, 2007. "Performance evaluation for the logistics system in case that capacity weight varies from arcs and types of commodity," International Journal of Production Economics, Elsevier, vol. 107(2), pages 572-580, June.
    13. Xu, Xiu-Zhen & Niu, Yi-Feng & Song, Yi-Fan, 2021. "Computing the reliability of a stochastic distribution network subject to budget constraint," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    14. Cancela, Héctor & Petingi, Louis, 2007. "Properties of a generalized source-to-all-terminal network reliability model with diameter constraints," Omega, Elsevier, vol. 35(6), pages 659-670, December.
    15. Niu, Yi-Feng & Lam, William H.K. & Gao, Ziyou, 2014. "An efficient algorithm for evaluating logistics network reliability subject to distribution cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 175-189.
    16. Yi-Kuei Lin & Chih-Li Pan, 2016. "Data transmission reliability evaluation of a stochastic computer network through minimal paths with a retransmission mechanism," Journal of Risk and Reliability, , vol. 230(6), pages 551-560, December.
    17. Yi-Kuei Lin & Thi-Phuong Nguyen & Louis Cheng-Lu Yeng, 2019. "Reliability evaluation of a multi-state air transportation network meeting multiple travel demands," Annals of Operations Research, Springer, vol. 277(1), pages 63-82, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yeh, Wei-Chang & Bae, Changseok & Huang, Chia-Ling, 2015. "A new cut-based algorithm for the multi-state flow network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 1-7.
    2. Lin, Yi-Kuei, 2010. "Calculation of minimal capacity vectors through k minimal paths under budget and time constraints," European Journal of Operational Research, Elsevier, vol. 200(1), pages 160-169, January.
    3. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2011. "Maximal network reliability for a stochastic power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1332-1339.
    4. Yi-Kuei Lin & Lance Fiondella & Ping-Chen Chang, 2022. "Reliability of time-constrained multi-state network susceptible to correlated component faults," Annals of Operations Research, Springer, vol. 311(1), pages 239-254, April.
    5. K Kolowrocki & J Soszynska, 2011. "On safety analysis of complex technical maritime transportation systems," Journal of Risk and Reliability, , vol. 225(3), pages 345-354, September.
    6. Xu, Bei & Liu, Tao & Bai, Guanghan & Tao, Junyong & Zhang, Yun-an & Fang, Yining, 2022. "A multistate network approach for reliability evaluation of unmanned swarms by considering information exchange capacity," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    7. Lin, Yi-Kuei & Fiondella, Lance & Chang, Ping-Chen, 2013. "Quantifying the impact of correlated failures on system reliability by a simulation approach," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 32-40.
    8. Kołowrocki, K. & Kwiatuszewska-Sarnecka, B., 2008. "Reliability and risk analysis of large systems with ageing components," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1821-1829.
    9. Lin, Yi-Kuei, 2010. "Reliability evaluation of a revised stochastic flow network with uncertain minimum time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1253-1258.
    10. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2012. "Determining the optimal double-component assignment for a stochastic computer network," Omega, Elsevier, vol. 40(1), pages 120-130, January.
    11. Lin, Yi-Kuei & Huang, Ding-Hsiang, 2020. "Reliability analysis for a hybrid flow shop with due date consideration," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    12. Yi-Kuei Lin & Ping-Chen Chang, 2015. "A novel model for a manufacturing system with joint production lines in terms of prior-set," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 340-354, January.
    13. Bita Tadayon & J. Cole Smith, 2014. "Algorithms for an Integer Multicommodity Network Flow Problem with Node Reliability Considerations," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 506-532, May.
    14. W-C Yeh, 2005. "A novel method for the network reliability in terms of capacitated-minimum-paths without knowing minimum-paths in advance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1235-1240, October.
    15. Yi-Kuei Lin & Cheng-Fu Huang & Yi-Chieh Liao & Chih-Ching Yeh, 2017. "System reliability for a multistate intermodal logistics network with time windows," International Journal of Production Research, Taylor & Francis Journals, vol. 55(7), pages 1957-1969, April.
    16. Ding-Hsiang Huang & Cheng-Fu Huang & Yi-Kuei Lin, 2024. "A reliability prediction model for a multistate cloud/edge-based network based on a deep neural network," Annals of Operations Research, Springer, vol. 340(1), pages 271-287, September.
    17. Niu, Yi-Feng & Zhao, Xia & Xu, Xiu-Zhen & Zhang, Shi-Yun, 2023. "Reliability assessment of a stochastic-flow distribution network with carbon emission constraint," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    18. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2010. "Optimal carrier selection based on network reliability criterion for stochastic logistics networks," International Journal of Production Economics, Elsevier, vol. 128(2), pages 510-517, December.
    19. Yi-Kuei Lin & Hsien-Chang Chou & Ping-Chen Chang, 2017. "Reliability and sensitivity analysis for a banking company transmission system," Journal of Risk and Reliability, , vol. 231(2), pages 146-154, April.
    20. Ping-Chen Chang, 2022. "Reliability evaluation and big data analytics architecture for a stochastic flow network with time attribute," Annals of Operations Research, Springer, vol. 311(1), pages 3-18, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:33:y:2005:i:3:p:203-209. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.