IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v44y1997i4p383-400.html
   My bibliography  Save this article

A Markovian model for process setup and improvement

Author

Listed:
  • Linguo Gong
  • James Pruett
  • Kwei Tang

Abstract

We examine the setup and improvement policies for a production process with multiple performance states. Assume that the production process deteriorates randomly over time, following a Markovian process with known transition probabilities. In order to reduce the production cost incurred because of process deterioration, the process is inspected at the end of each period. Then one of three actions may be taken: do nothing, perform routine process setup, or perform routine setup and process improvement. The routine setup operation returns the process to its best performance state, whereas the process improvement action may reduce future production and setup costs and improve the process‐state transition probabilities. A discounted Markovian model is formulated to find the strategy that minimizes the total cost of operating the production process. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 383–400, 1997

Suggested Citation

  • Linguo Gong & James Pruett & Kwei Tang, 1997. "A Markovian model for process setup and improvement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 383-400, June.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:4:p:383-400
    DOI: 10.1002/(SICI)1520-6750(199706)44:43.0.CO;2-2
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199706)44:43.0.CO;2-2
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199706)44:43.0.CO;2-2?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
    ---><---

    References listed on IDEAS

    as
    1. Charles H. Fine, 1988. "A Quality Control Model with Learning Effects," Operations Research, INFORMS, vol. 36(3), pages 437-444, June.
    2. Richard L. Marcellus & Maqbool Dada, 1991. "Interactive Process Quality Improvement," Management Science, INFORMS, vol. 37(11), pages 1365-1376, November.
    3. Charles H. Fine, 1986. "Quality Improvement and Learning in Productive Systems," Management Science, INFORMS, vol. 32(10), pages 1301-1315, October.
    4. Charles H. Fine & Evan L. Porteus, 1989. "Dynamic Process Improvement," Operations Research, INFORMS, vol. 37(4), pages 580-591, August.
    5. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    6. Peter Kolesar, 1966. "Minimum Cost Replacement Under Markovian Deterioration," Management Science, INFORMS, vol. 12(9), pages 694-706, May.
    7. Sheldon M. Ross, 1971. "Quality Control under Markovian Deterioration," Management Science, INFORMS, vol. 17(9), pages 587-596, 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. Diaby, Moustapha & Cruz, Jose M. & Nsakanda, Aaron L., 2013. "Shortening cycle times in multi-product, capacitated production environments through quality level improvements and setup reduction," European Journal of Operational Research, Elsevier, vol. 228(3), pages 526-535.
    2. Williams, William W. & Tang, Kwei & Gong, Linguo, 2000. "Process improvement for a container-filling process with random shifts," International Journal of Production Economics, Elsevier, vol. 66(1), pages 23-31, June.
    3. Nobuyuki Tamura, 2018. "Optimal control of production with improvement," Journal of Risk and Reliability, , vol. 232(6), pages 777-785, December.

    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. Barad, M. & Bennett, G., 1996. "Optimal yield improvement in multi-stage manufacturing systems," European Journal of Operational Research, Elsevier, vol. 95(3), pages 549-565, December.
    2. Stephen M. Gilbert & Hena M Bar, 1999. "The value of observing the condition of a deteriorating machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 790-808, October.
    3. Paulson Gjerde, Kathy A. & Slotnick, Susan A., 2004. "Quality and reputation: The effects of external and internal factors over time," International Journal of Production Economics, Elsevier, vol. 89(1), pages 1-20, May.
    4. Cheong Ng, Wing & Van Hui, Yer, 1997. "Economic design of a complete inspection plan with interactive quality improvement," European Journal of Operational Research, Elsevier, vol. 96(1), pages 122-129, January.
    5. Voros, Jozsef, 2002. "Product balancing under conditions of quality inflation, cost pressures and growth strategies," European Journal of Operational Research, Elsevier, vol. 141(1), pages 153-166, August.
    6. Vörös, József, 2003. "A minőség figyelembevételének szükségessége az egyensúlyi állapot meghatározásában [The need to consider quality when determining a state of equilibrium]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 6-21.
    7. Yimin Wang & Wendell Gilland & Brian Tomlin, 2010. "Mitigating Supply Risk: Dual Sourcing or Process Improvement?," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 489-510, September.
    8. Williams, William W. & Tang, Kwei & Gong, Linguo, 2000. "Process improvement for a container-filling process with random shifts," International Journal of Production Economics, Elsevier, vol. 66(1), pages 23-31, June.
    9. Fernando Bernstein & A. Gürhan Kök, 2009. "Dynamic Cost Reduction Through Process Improvement in Assembly Networks," Management Science, INFORMS, vol. 55(4), pages 552-567, April.
    10. Bendavid, Illana & Herer, Yale T., 2009. "Economic optimization of off-line inspection in a process that also produces non-conforming units when in control and conforming units when out of control," European Journal of Operational Research, Elsevier, vol. 195(1), pages 139-155, May.
    11. Christopher D. Ittner & Venky Nagar & Madhav V. Rajan, 2001. "An Empirical Examination of Dynamic Quality-Based Learning Models," Management Science, INFORMS, vol. 47(4), pages 563-578, April.
    12. J-C Tsou & J-M Chen, 2005. "Dynamic model for a defective production system with Poka-Yoke," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 799-803, July.
    13. Voros, Jozsef, 2006. "The dynamics of price, quality and productivity improvement decisions," European Journal of Operational Research, Elsevier, vol. 170(3), pages 809-823, May.
    14. Mellat-Parast, Mahour & Digman, Lester A., 2008. "Learning: The interface of quality management and strategic alliances," International Journal of Production Economics, Elsevier, vol. 114(2), pages 820-829, August.
    15. Voros, Jozsef, 2019. "An analysis of the dynamic price-quality relationship," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1037-1045.
    16. George Li & S. Rajagopalan, 1998. "Process Improvement, Quality, and Learning Effects," Management Science, INFORMS, vol. 44(11-Part-1), pages 1517-1532, November.
    17. Vörös, József, 2008. "A kereslet hatása az árak, a minőség és a fejlesztési döntések dinamikájára [The effect of demand on the dynamics of prices, quality and development decisions]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1094-1115.
    18. Narayanan, V. G. & Davila, Antonio, 1998. "Using delegation and control systems to mitigate the trade-off between the performance-evaluation and belief-revision uses of accounting signals," Journal of Accounting and Economics, Elsevier, vol. 25(3), pages 255-282, June.
    19. Nair, Anand & Narasimhan, Ram, 2006. "Dynamics of competing with quality- and advertising-based goodwill," European Journal of Operational Research, Elsevier, vol. 175(1), pages 462-474, November.
    20. Jaber, Mohamad Y. & Bonney, Maurice, 2003. "Lot sizing with learning and forgetting in set-ups and in product quality," International Journal of Production Economics, Elsevier, vol. 83(1), pages 95-111, January.

    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:wly:navres:v:44:y:1997:i:4:p:383-400. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.