IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v94y2009i2p382-393.html
   My bibliography  Save this article

Stochastic demand patterns for Markov service facilities with neutral and active periods

Author

Listed:
  • Csenki, Attila

Abstract

In an earlier paper, a closed form expression was obtained for the joint interval reliability of a Markov system with a partitioned state space S=U∪D, i.e. for the probability that the system will reside in the set of up states U throughout the union of some specific disjoint time intervals Iℓ=[θℓ,θℓ+ζℓ],ℓ=1,…,k. The deterministic time intervals Iℓ formed a demand pattern specifying the desired active periods.

Suggested Citation

  • Csenki, Attila, 2009. "Stochastic demand patterns for Markov service facilities with neutral and active periods," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 382-393.
  • Handle: RePEc:eee:reensy:v:94:y:2009:i:2:p:382-393
    DOI: 10.1016/j.ress.2008.03.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832008001221
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2008.03.030?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2006. "A deteriorating two-system with two repair modes and sojourn times phase-type distributed," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 1-9.
    2. Matheus, Peter & Gelders, Ludo, 2000. "The (R, Q) inventory policy subject to a compound Poisson demand pattern," International Journal of Production Economics, Elsevier, vol. 68(3), pages 307-317, December.
    3. Csenki, Attila, 2007. "Joint interval reliability for Markov systems with an application in transmission line reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 685-696.
    4. Diponegoro, Ahmad & Sarker, Bhaba R., 2002. "Determining manufacturing batch sizes for a lumpy delivery system with trend demand," International Journal of Production Economics, Elsevier, vol. 77(2), pages 131-143, May.
    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. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2013. "A performance measure for Markov system with stochastic supply patterns and stochastic demand patterns," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 294-299.

    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. Gao, Hongda & Cui, Lirong & Yi, He, 2019. "Availability analysis of k-out-of-n: F repairable balanced systems with m sectors," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    2. Baoliang Liu & Lirong Cui & Yanqing Wen, 2014. "Interval reliability for aggregated Markov repairable system with repair time omission," Annals of Operations Research, Springer, vol. 212(1), pages 169-183, January.
    3. Montoro Cazorla, Delia & Pérez-Ocón, Rafael, 2008. "An LDQBD process under degradation, inspection, and two types of repair," European Journal of Operational Research, Elsevier, vol. 190(2), pages 494-508, October.
    4. Yi, He & Cui, Lirong & Shen, Jingyuan & Li, Yan, 2018. "Stochastic properties and reliability measures of discrete-time semi-Markovian systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 162-173.
    5. Sarker, Bhaba R. & Diponegoro, Ahmad, 2009. "Optimal production plans and shipment schedules in a supply-chain system with multiple suppliers and multiple buyers," European Journal of Operational Research, Elsevier, vol. 194(3), pages 753-773, May.
    6. Dhople, S.V. & DeVille, L. & Domínguez-García, A.D., 2014. "A Stochastic Hybrid Systems framework for analysis of Markov reward models," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 158-170.
    7. Rabta, Boualem, 2017. "Sensitivity analysis in inventory models by means of ergodicity coefficients," International Journal of Production Economics, Elsevier, vol. 188(C), pages 63-71.
    8. Chen, Jinyuan & Li, Zehui, 2008. "An extended extreme shock maintenance model for a deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1123-1129.
    9. Aiping Jiang & Kwok Leung Tam & Xiaoyun Guo & Yufeng Zhang, 2020. "A new approach to forecasting intermittent demand based on the mixed zero‐truncated Poisson model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 39(1), pages 69-83, January.
    10. L Tang & G Liu & J Liu, 2008. "Raw material inventory solution in iron and steel industry using Lagrangian relaxation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 44-53, January.
    11. Alebrant Mendes, Angélica & Coit, David W. & Duarte Ribeiro, José Luis, 2014. "Establishment of the optimal time interval between periodic inspections for redundant systems," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 148-165.
    12. Du, Shijia & Zeng, Zhiguo & Cui, Lirong & Kang, Rui, 2017. "Reliability analysis of Markov history-dependent repairable systems with neglected failures," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 134-142.
    13. Rahman, Mohammad Anwar Ashek & Sarker, Bhaba R., 2007. "Supply chain models for an assembly system with preprocessing of raw materials," European Journal of Operational Research, Elsevier, vol. 181(2), pages 733-752, September.
    14. Sandeep Jain & N. Raghavan, 2009. "A queuing approach for inventory planning with batch ordering in multi-echelon supply chains," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(1), pages 95-110, March.
    15. SPRINGAEL, Johan & VAN NIEUWENHUYSE, Inneke, 2006. "On the sum of independent zero-truncated Poisson random variables," Working Papers 2006011, University of Antwerp, Faculty of Business and Economics.
    16. Lengu, D. & Syntetos, A.A. & Babai, M.Z., 2014. "Spare parts management: Linking distributional assumptions to demand classification," European Journal of Operational Research, Elsevier, vol. 235(3), pages 624-635.
    17. Delia, Montoro-Cazorla & Rafael, Perez-Ocon, 2008. "A maintenance model with failures and inspection following Markovian arrival processes and two repair modes," European Journal of Operational Research, Elsevier, vol. 186(2), pages 694-707, April.
    18. Csenki, Attila, 2011. "On continuous lifetime distributions with polynomial failure rate with an application in reliability," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1587-1590.
    19. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2013. "A performance measure for Markov system with stochastic supply patterns and stochastic demand patterns," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 294-299.
    20. Cui, Lirong & Chen, Jianhui & Wu, Bei, 2017. "New interval availability indexes for Markov repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 12-17.

    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:reensy:v:94:y:2009:i:2:p:382-393. 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: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.