IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v40y2012i6p774-781.html
   My bibliography  Save this article

Simultaneous determination of production lot size and process parameters under process deterioration and process breakdown

Author

Listed:
  • Jeang, Angus

Abstract

The purpose of this study is to combine production-inventory management with process-quality design for determining production lot size and process parameters under the possibility of process deterioration and breakdown. The total cost of such an integrated model includes: the combined setup cost (production setup and process resetting), the costs of quality loss, tolerance and mean costs for processes established, a penalty cost for process breakdown and carrying costs for cumulated inventory. The quadratic quality loss function is introduced to assess quality loss within the system. Decision variables include the initial setting (process mean) and process tolerance for process parameters determination, and production lot size for production-inventory management. The cycle time for production-inventory management is assumed to be the same as the resetting cycle for the new process-quality system. The contribution of this study lies in its development of an integrated model that enables process parameters, production lot size, and cycle time to be determined concurrently for quality and economic considerations, and at an earlier time in the process design and production management stage. An example is presented to demonstrate the proposed model.

Suggested Citation

  • Jeang, Angus, 2012. "Simultaneous determination of production lot size and process parameters under process deterioration and process breakdown," Omega, Elsevier, vol. 40(6), pages 774-781.
  • Handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:774-781
    DOI: 10.1016/j.omega.2011.12.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048311001770
    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. Yang, Suh-Jenq & Yang, Dar-Li, 2010. "Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities," Omega, Elsevier, vol. 38(6), pages 528-533, December.
    2. Hyun Kim, Chang & Hong, Yushin, 1999. "An optimal production run length in deteriorating production processes," International Journal of Production Economics, Elsevier, vol. 58(2), pages 183-189, January.
    3. Dohi, Tadashi & Okamura, Hiroyuki & Osaki, Shunji, 2001. "Optimal control of preventive maintenance schedule and safety stocks in an unreliable manufacturing environment," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 147-155, December.
    4. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2009. "Production lot sizing with process deterioration and machine breakdown under inspection schedule," Omega, Elsevier, vol. 37(2), pages 257-271, April.
    5. Wee, Hui-Ming & Wang, Wan-Tsu, 2012. "A supplement to the EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 40(3), pages 264-266.
    6. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Lot Sizing with Machine Breakdowns," Management Science, INFORMS, vol. 38(1), pages 104-123, January.
    7. Jeang, Angus, 1998. "Reliable tool replacement policy for quality and cost," European Journal of Operational Research, Elsevier, vol. 108(2), pages 334-344, July.
    8. Chang, Hung-Chi & Ho, Chia-Huei, 2010. "Exact closed-form solutions for "optimal inventory model for items with imperfect quality and shortage backordering"," Omega, Elsevier, vol. 38(3-4), pages 233-237, June.
    9. Kuhn, Heinrich, 1997. "A dynamic lot sizing model with exponential machine breakdowns," European Journal of Operational Research, Elsevier, vol. 100(3), pages 514-536, August.
    10. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2011. "The EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 39(5), pages 574-577, October.
    11. Ganeshan, Ram & Kulkarni, Shailesh & Boone, Tonya, 2001. "Production economics and process quality: A Taguchi perspective," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 343-350, May.
    12. Kamran Moinzadeh & Prabhu Aggarwal, 1997. "Analysis of a Production/Inventory System Subject to Random Disruptions," Management Science, INFORMS, vol. 43(11), pages 1577-1588, November.
    13. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2012. "A note on "The EPQ with partial backordering and phase-dependent backordering rate"," Omega, Elsevier, vol. 40(1), pages 131-133, January.
    14. Berthaut, F. & Gharbi, A. & Dhouib, K., 2011. "Joint modified block replacement and production/inventory control policy for a failure-prone manufacturing cell," Omega, Elsevier, vol. 39(6), pages 642-654, December.
    15. Chen, Chung-Ho & Lai, Min-Tsai, 2007. "Economic manufacturing quantity, optimum process mean, and economic specification limits setting under the rectifying inspection plan," European Journal of Operational Research, Elsevier, vol. 183(1), pages 336-344, November.
    16. Kim, Chang Hyun & Hong, Yushin, 1997. "An extended EMQ model for a failure prone machine with general lifetime distribution," International Journal of Production Economics, Elsevier, vol. 49(3), pages 215-223, 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. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Koca, Esra & Yaman, Hande & Selim Aktürk, M., 2015. "Stochastic lot sizing problem with controllable processing times," Omega, Elsevier, vol. 53(C), pages 1-10.
    3. Bouslah, B. & Gharbi, A. & Pellerin, R., 2016. "Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint," Omega, Elsevier, vol. 61(C), pages 110-126.
    4. repec:taf:tsysxx:v:45:y:2014:i:12:p:2539-2551 is not listed on IDEAS
    5. Assid, M. & Gharbi, A. & Dhouib, K., 2015. "Joint production and subcontracting planning of unreliable multi-facility multi-product production systems," Omega, Elsevier, vol. 50(C), pages 54-69.
    6. repec:pal:jorsoc:v:68:y:2017:i:7:d:10.1057_jors.2016.46 is not listed on IDEAS

    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:40:y:2012:i:6:p:774-781. See general information about how to correct material in RePEc.

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

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.