IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v186y2011i1p1-2210.1007-s10479-010-0816-9.html
   My bibliography  Save this article

Mission-Based Component Testing for Series Systems

Author

Listed:
  • İ. Altınel
  • Bora Çekyay
  • Orhan Feyzioğlu
  • M. Keskin
  • Süleyman Özekici

Abstract

We consider the component testing problem of a device that is designed to perform a mission consisting of a random sequence of phases with random durations. Testing is done at the component level to attain desired levels of mission reliability at minimum cost. The components fail exponentially where the failure rate depends on the phase of the mission. The reliability structure of the device involves a series connection of nonidentical components with different failure characteristics. The optimal component testing problem is formulated as a semi-infinite linear program. We present an algorithmic procedure to compute optimal test times based on the column generation technique, and illustrate it with numerical examples. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • İ. Altınel & Bora Çekyay & Orhan Feyzioğlu & M. Keskin & Süleyman Özekici, 2011. "Mission-Based Component Testing for Series Systems," Annals of Operations Research, Springer, vol. 186(1), pages 1-22, June.
    • Handle: RePEc:spr:annopr:v:186:y:2011:i:1:p:1-22:10.1007/s10479-010-0816-9
    DOI: 10.1007/s10479-010-0816-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-010-0816-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-010-0816-9?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. Erdem, Asli Sencer & Ozekici, Suleyman, 2002. "Inventory models with random yield in a random environment," International Journal of Production Economics, Elsevier, vol. 78(3), pages 239-253, August.
    2. İ K Altınel & S Özekici & O Feyziog̃lu, 2001. "Component testing of repairable systems in multistage missions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 937-944, August.
    3. U. Çakmak & S. Özekici, 2006. "Portfolio optimization in stochastic markets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 151-168, February.
    4. A. Charnes & W. W. Cooper, 1962. "Systems Evaluation and Repricing Theorems," Management Science, INFORMS, vol. 9(1), pages 33-49, October.
    5. Shmuel Gal, 1974. "Optimal Test Design for Reliability Demonstration," Operations Research, INFORMS, vol. 22(6), pages 1236-1242, 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. M. A. Goberna & M. A. López, 2017. "Recent contributions to linear semi-infinite optimization," 4OR, Springer, vol. 15(3), pages 221-264, September.
    2. M. A. Goberna & M. A. López, 2018. "Recent contributions to linear semi-infinite optimization: an update," Annals of Operations Research, Springer, vol. 271(1), pages 237-278, December.
    3. Lirong Cui & Shijia Du & Aofu Zhang, 2014. "Reliability measures for two-part partition of states for aggregated Markov repairable systems," Annals of Operations Research, Springer, vol. 212(1), pages 93-114, January.

    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. Kuban Altinel, I. & Ozekici, Suleyman, 1998. "Optimum component test plans for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 111(1), pages 175-186, November.
    2. Feyzioglu, Orhan & Kuban Altinel, I. & Ozekici, Suleyman, 2006. "The design of optimum component test plans for system reliability," Computational Statistics & Data Analysis, Elsevier, vol. 50(11), pages 3099-3112, July.
    3. Yan, Xiaoming & Zhang, Minghui & Liu, Ke, 2010. "A note on coordination in decentralized assembly systems with uncertain component yields," European Journal of Operational Research, Elsevier, vol. 205(2), pages 469-478, September.
    4. Kutzner, Sarah C. & Kiesmüller, Gudrun P., 2013. "Optimal control of an inventory-production system with state-dependent random yield," European Journal of Operational Research, Elsevier, vol. 227(3), pages 444-452.
    5. Canyakmaz, Caner & Özekici, Süleyman & Karaesmen, Fikri, 2019. "An inventory model where customer demand is dependent on a stochastic price process," International Journal of Production Economics, Elsevier, vol. 212(C), pages 139-152.
    6. Glover, Fred & Sueyoshi, Toshiyuki, 2009. "Contributions of Professor William W. Cooper in Operations Research and Management Science," European Journal of Operational Research, Elsevier, vol. 197(1), pages 1-16, August.
    7. Gel, Esma S. & Salman, F. Sibel, 2022. "Dynamic ordering decisions with approximate learning of supply yield uncertainty," International Journal of Production Economics, Elsevier, vol. 243(C).
    8. Benjamín Vallejo Jiménez & Francisco Venegas Martínez, 2017. "Optimal consumption and portfolio rules when the asset price is driven by a time-inhomogeneous Markov modulated fractional Brownian motion with," Economics Bulletin, AccessEcon, vol. 37(1), pages 314-326.
    9. Wu, Huiling & Li, Zhongfei, 2012. "Multi-period mean–variance portfolio selection with regime switching and a stochastic cash flow," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 371-384.
    10. Kuzʹmin, S. A., 1976. "Introduction to the structure and dynamics of systems; a technical note," ILO Working Papers 991691233402676, International Labour Organization.
    11. Asli Sencer Erdem & Mehmet Murat Fadilog̃lu & Süleyman Özekici, 2006. "An EOQ model with multiple suppliers and random capacity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 101-114, February.
    12. Jain, Tarun & Hazra, Jishnu, 2017. "Sourcing strategies under agglomeration economies, capacity risks and retail competition," International Journal of Production Economics, Elsevier, vol. 191(C), pages 311-322.
    13. Mohebbi, Esmail, 2006. "A production-inventory model with randomly changing environmental conditions," European Journal of Operational Research, Elsevier, vol. 174(1), pages 539-552, October.
    14. Arifoglu, Kenan & Özekici, Süleyman, 2011. "Inventory management with random supply and imperfect information: A hidden Markov model," International Journal of Production Economics, Elsevier, vol. 134(1), pages 123-137, November.
    15. K Kogan & V Portougal, 2006. "Multi-period aggregate production planning in a news-vendor framework," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 423-433, April.
    16. Wu, Huiling & Chen, Hua, 2015. "Nash equilibrium strategy for a multi-period mean–variance portfolio selection problem with regime switching," Economic Modelling, Elsevier, vol. 46(C), pages 79-90.
    17. Arifoglu, Kenan & Özekici, Süleyman, 2010. "Optimal policies for inventory systems with finite capacity and partially observed Markov-modulated demand and supply processes," European Journal of Operational Research, Elsevier, vol. 204(3), pages 421-438, August.
    18. Zare, Marjan & Esmaeili, Maryam & He, Yuanjie, 2019. "Implications of risk-sharing strategies on supply chains with multiple retailers and under random yield," International Journal of Production Economics, Elsevier, vol. 216(C), pages 413-424.
    19. Robert Cox Merton & Francisco Venegas-Martínez, 2021. "Financial Science Trends and Perspectives: A Review Article," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 16(1), pages 1-15, Enero - M.
    20. V. Balachandran & Suresh Jain, 1975. "Optimal Facility Location under Random Demand with General Cost Structure," Discussion Papers 149, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

    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:186:y:2011:i:1:p:1-22:10.1007/s10479-010-0816-9. 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.