IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v209y2013i1p231-25410.1007-s10479-011-0839-x.html
   My bibliography  Save this article

Reliability of manufacturing equipment in complex environments

Author

Listed:
  • Jeffrey Kharoufeh
  • Steven Cox
  • Mark Oxley

Abstract

We present two stochastic failure models for the reliability evaluation of manufacturing equipment that degrades due to its complex operating environment. The first model examines the case when the environment is a temporally nonhomogeneous continuous-time Markov chain, and the second assumes the environment is a temporally homogeneous semi-Markov process on a finite space. Derived are transform expressions for the lifetime distributions. A few examples are provided to illustrate the main results. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Jeffrey Kharoufeh & Steven Cox & Mark Oxley, 2013. "Reliability of manufacturing equipment in complex environments," Annals of Operations Research, Springer, vol. 209(1), pages 231-254, October.
    • Handle: RePEc:spr:annopr:v:209:y:2013:i:1:p:231-254:10.1007/s10479-011-0839-x
    DOI: 10.1007/s10479-011-0839-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-011-0839-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-011-0839-x?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. Gang Li & Jiaowan Luo, 2005. "Shock model in Markovian environment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 253-260, April.
    2. Jeffrey Kharoufeh & Christopher Solo & M. Ulukus, 2010. "Semi-Markov models for degradation-based reliability," IISE Transactions, Taylor & Francis Journals, vol. 42(8), pages 599-612.
    3. Makis, Viliam, 1999. "Optimal control policy for a tool-wear process subject to shocks and random failures," International Journal of Production Economics, Elsevier, vol. 60(1), pages 613-621, April.
    4. Rafael Pérez‐Ocón & Juan Eloy Ruiz‐Castro & M. Luz Gámiz‐Pérez, 2001. "Non‐homogeneous Markov models in the analysis of survival after breast cancer," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(1), pages 111-124.
    5. A. Platis & N. Limnios & M. Le Du, 1998. "Hitting time in a finite non‐homogeneous Markov chain with applications," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(3), pages 241-253, September.
    6. Glynn, Peter W. & Whitt, Ward, 1993. "Limit theorems for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 47(2), pages 299-314, September.
    7. Glynn, Peter W. & Whitt, Ward, 2002. "Necessary conditions in limit theorems for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 199-209, April.
    8. Joseph Abate & Ward Whitt, 1995. "Numerical Inversion of Laplace Transforms of Probability Distributions," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 36-43, February.
    9. Thomas A. Mazzuchi & Refik Soyer, 1989. "Assessment of machine tool reliability using a proportional hazards model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 765-777, December.
    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. Dong Li & Nishant Mishra & Serguei Netessine, 2023. "Contracting for Product Support Under Information Asymmetry," Management Science, INFORMS, vol. 69(8), pages 4627-4645, August.
    2. Li, Yan & Cui, Lirong & Lin, Cong, 2017. "Modeling and analysis for multi-state systems with discrete-time Markov regime-switching," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 41-49.
    3. Yu-Hsin Hung & Chia-Yen Lee & Ching-Hsiung Tsai & Yen-Ming Lu, 2022. "Constrained particle swarm optimization for health maintenance in three-mass resonant servo control system with LuGre friction model," Annals of Operations Research, Springer, vol. 311(1), pages 131-150, April.
    4. Liang, Zhenglin & Liu, Bin & Xie, Min & Parlikad, Ajith Kumar, 2020. "Condition-based maintenance for long-life assets with exposure to operational and environmental risks," International Journal of Production Economics, Elsevier, vol. 221(C).

    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. Jeffrey P. Kharoufeh & Dustin G. Mixon, 2009. "On a Markov‐modulated shock and wear process," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 563-576, September.
    2. Shu, Yin & Feng, Qianmei & Liu, Hao, 2019. "Using degradation-with-jump measures to estimate life characteristics of lithium-ion battery," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    3. David H Collins & Richard L Warr & Aparna V Huzurbazar, 2013. "An introduction to statistical flowgraph models for engineering systems," Journal of Risk and Reliability, , vol. 227(5), pages 461-470, October.
    4. C. E. Phelan & D. Marazzina & G. Germano, 2020. "Pricing methods for α-quantile and perpetual early exercise options based on Spitzer identities," Quantitative Finance, Taylor & Francis Journals, vol. 20(6), pages 899-918, June.
    5. Dirk Becherer & Todor Bilarev & Peter Frentrup, 2018. "Optimal liquidation under stochastic liquidity," Finance and Stochastics, Springer, vol. 22(1), pages 39-68, January.
    6. Corsaro, Stefania & Kyriakou, Ioannis & Marazzina, Daniele & Marino, Zelda, 2019. "A general framework for pricing Asian options under stochastic volatility on parallel architectures," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1082-1095.
    7. Qu, Yan & Dassios, Angelos & Zhao, Hongbiao, 2021. "Random variate generation for exponential and gamma tilted stable distributions," LSE Research Online Documents on Economics 108593, London School of Economics and Political Science, LSE Library.
    8. Phelan, Carolyn E. & Marazzina, Daniele & Fusai, Gianluca & Germano, Guido, 2018. "Fluctuation identities with continuous monitoring and their application to the pricing of barrier options," European Journal of Operational Research, Elsevier, vol. 271(1), pages 210-223.
    9. van Eekelen, Wouter, 2023. "Distributionally robust views on queues and related stochastic models," Other publications TiSEM 9b99fc05-9d68-48eb-ae8c-9, Tilburg University, School of Economics and Management.
    10. Runhuan Feng & Pingping Jiang & Hans Volkmer, 2020. "Geometric Brownian motion with affine drift and its time-integral," Papers 2012.09661, arXiv.org.
    11. Peter Braunsteins & Sophie Hautphenne & Peter G. Taylor, 2016. "The roles of coupling and the deviation matrix in determining the value of capacity in M/M/1/C queues," Queueing Systems: Theory and Applications, Springer, vol. 83(1), pages 157-179, June.
    12. Gökçe Kahveciog̃lu & Barış Balcıog̃lu, 2016. "Coping with production time variability via dynamic lead-time quotation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 877-898, October.
    13. Zeynep Akşin & Baris Ata & Seyed Morteza Emadi & Che-Lin Su, 2017. "Impact of Delay Announcements in Call Centers: An Empirical Approach," Operations Research, INFORMS, vol. 65(1), pages 242-265, February.
    14. Felix Lokin & Fenghui Yu, 2024. "Fill Probabilities in a Limit Order Book with State-Dependent Stochastic Order Flows," Papers 2403.02572, arXiv.org.
    15. Feng, Runhuan & Jiang, Pingping & Volkmer, Hans, 2021. "Geometric Brownian motion with affine drift and its time-integral," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    16. Brian Fralix, 2018. "A new look at a smart polling model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 339-367, December.
    17. Carolyn E. Phelan & Daniele Marazzina & Guido Germano, 2021. "Pricing methods for $\alpha$-quantile and perpetual early exercise options based on Spitzer identities," Papers 2106.06030, arXiv.org.
    18. Oded Berman & Mahmut Parlar & David Perry & M. J. M. Posner, 2005. "Production/Clearing Models Under Continuous and Sporadic Reviews," Methodology and Computing in Applied Probability, Springer, vol. 7(2), pages 203-224, June.
    19. Yingda Song & Ning Cai & Steven Kou, 2018. "Computable Error Bounds of Laplace Inversion for Pricing Asian Options," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 634-645, January.
    20. Spiros Dimou & Antonis Economou, 2013. "The Single Server Queue with Catastrophes and Geometric Reneging," Methodology and Computing in Applied Probability, Springer, vol. 15(3), pages 595-621, September.

    More about this item

    Statistics

    Access and download statistics

    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:spr:annopr:v:209:y:2013:i:1:p:231-254:10.1007/s10479-011-0839-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.