IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v261y2018i1d10.1007_s10479-017-2563-7.html
   My bibliography  Save this article

A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering

Author

Listed:
  • Ata Allah Taleizadeh

    (University of Tehran)

Abstract

In this paper, a multi-product single-machine economic production quantity model with preventive maintenance, scraped and rework is studied. Shortages are permitted and a fraction of them is backlogged. Capacity and service level are limitations of the production system. It is assumed that preventive maintenance can be performed when the inventory level is positive or negative. Indeed two different scenarios are modeled and according to the comparisons between their costs, a new scenario according to the best time of preventive maintenance is investigated and modeled. The aim of this research is to determine the best time for preventive maintenance, production and back-ordered quantities of each item and common cycle length, such that the expected total cost is minimized. The objective function of the final proposed model is proved to be convex and closed-form optimal solutions are derived. Two numerical examples based on a real application of the proposed model in a turning manufactory with only one computer numerical control machine applied to lathe metal plates to different sizes are used to illustrate the applicability of extended model and proposed solution method.

Suggested Citation

  • Ata Allah Taleizadeh, 2018. "A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering," Annals of Operations Research, Springer, vol. 261(1), pages 303-337, February.
    • Handle: RePEc:spr:annopr:v:261:y:2018:i:1:d:10.1007_s10479-017-2563-7
    DOI: 10.1007/s10479-017-2563-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-017-2563-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-017-2563-7?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. Taleizadeh, Ata Allah & Pentico, David W., 2013. "An economic order quantity model with a known price increase and partial backordering," European Journal of Operational Research, Elsevier, vol. 228(3), pages 516-525.
    2. Taleizadeh, Ata Allah & Pentico, David W., 2014. "An Economic Order Quantity model with partial backordering and all-units discount," International Journal of Production Economics, Elsevier, vol. 155(C), pages 172-184.
    3. Chiu, Singa Wang & Wang, Shan-Ling & Chiu, Yuan-Shyi Peter, 2007. "Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns," European Journal of Operational Research, Elsevier, vol. 180(2), pages 664-676, July.
    4. Jaber, M.Y. & Bonney, M. & Moualek, I., 2009. "An economic order quantity model for an imperfect production process with entropy cost," International Journal of Production Economics, Elsevier, vol. 118(1), pages 26-33, March.
    5. Mallika Parveen & T.V.V.L.N. Rao, 2009. "Optimal batch sizing, quality improvement and rework for an imperfect production system with inspection and restoration," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 3(3), pages 305-335.
    6. Liao, Gwo-Liang & Sheu, Shey-Huei, 2011. "Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance," International Journal of Production Economics, Elsevier, vol. 130(1), pages 118-124, March.
    7. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    8. M. Berg & M. J. M. Posner & H. Zhao, 1994. "Production-Inventory Systems with Unreliable Machines," Operations Research, INFORMS, vol. 42(1), pages 111-118, February.
    9. Junmin Shi & Michael Katehakis & Benjamin Melamed, 2013. "Martingale methods for pricing inventory penalties under continuous replenishment and compound renewal demands," Annals of Operations Research, Springer, vol. 208(1), pages 593-612, September.
    10. Taleizadeh, Ata Allah & Cárdenas-Barrón, Leopoldo Eduardo & Mohammadi, Babak, 2014. "A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process," International Journal of Production Economics, Elsevier, vol. 150(C), pages 9-27.
    11. Freimer, Michael & Thomas, Douglas & Tyworth, John, 2006. "The value of setup cost reduction and process improvement for the economic production quantity model with defects," European Journal of Operational Research, Elsevier, vol. 173(1), pages 241-251, August.
    12. Taleizadeh, Ata Allah & Pentico, David W. & Aryanezhad, Mirbahador & Ghoreyshi, Seyed Mohammad, 2012. "An economic order quantity model with partial backordering and a special sale price," European Journal of Operational Research, Elsevier, vol. 221(3), pages 571-583.
    13. T. Bielecki & P. R. Kumar, 1988. "Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems," Operations Research, INFORMS, vol. 36(4), pages 532-541, August.
    14. Jaber, M.Y. & Goyal, S.K. & Imran, M., 2008. "Economic production quantity model for items with imperfect quality subject to learning effects," International Journal of Production Economics, Elsevier, vol. 115(1), pages 143-150, September.
    15. Alireza Haji & Sharam Shadrokh Sikari & Ramin Shamsi, 2010. "The effect of inspection errors on the optimal batch size in reworkable production systems with scraps," International Journal of Product Development, Inderscience Enterprises Ltd, vol. 10(1/2/3), pages 201-216.
    16. Biswajit Sarkar & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "Optimal reliability, production lot size and safety stock in an imperfect production system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 467-490.
    17. Sarker, Bhaba R. & Jamal, A.M.M. & Mondal, Sanjay, 2008. "Optimal batch sizing in a multi-stage production system with rework consideration," European Journal of Operational Research, Elsevier, vol. 184(3), pages 915-929, February.
    18. Sana, Shib Sankar, 2010. "An economic production lot size model in an imperfect production system," European Journal of Operational Research, Elsevier, vol. 201(1), pages 158-170, February.
    19. Liao, Gwo-Liang & Chen, Yen Hung & Sheu, Shey-Huei, 2009. "Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance," European Journal of Operational Research, Elsevier, vol. 195(2), pages 348-357, June.
    20. Chiu, Singa Wang, 2008. "Production lot size problem with failure in repair and backlogging derived without derivatives," European Journal of Operational Research, Elsevier, vol. 188(2), pages 610-615, July.
    21. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    22. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    23. Sana, Shib Sankar, 2010. "A production-inventory model in an imperfect production process," European Journal of Operational Research, Elsevier, vol. 200(2), pages 451-464, January.
    24. Taleizadeh, Ata Allah, 2014. "An EOQ model with partial backordering and advance payments for an evaporating item," International Journal of Production Economics, Elsevier, vol. 155(C), pages 185-193.
    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. Zhong-Zhong Jiang & Na He & Xuwei Qin & Minghe Sun & Pengfei Wang, 2022. "Optimizing production and maintenance for the service-oriented manufacturing supply chain," Annals of Operations Research, Springer, vol. 316(1), pages 33-58, September.
    2. Rung-Hung Su & Ming-Wei Weng & Yung-Fu Huang, 2020. "Innovative maintenance problem in a two-stage production-inventory system with imperfect processes," Annals of Operations Research, Springer, vol. 287(1), pages 379-401, April.
    3. Noura Yassine, 2020. "A sustainable economic production model: effects of quality and emissions tax from transportation," Annals of Operations Research, Springer, vol. 290(1), pages 73-94, July.
    4. Harun Öztürk, 2019. "Modeling an inventory problem with random supply, inspection and machine breakdown," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 497-527, June.
    5. Dharamender Singh & Anurag Jayswal & Majed G. Alharbi & Ali Akbar Shaikh, 2021. "An Investigation of a Supply Chain Model for Co-Ordination of Finished Products and Raw Materials in a Production System under Different Situations," Sustainability, MDPI, vol. 13(22), pages 1-25, November.
    6. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    7. Mahmud Akhter Shareef & Yogesh K. Dwivedi & Rafeed Mahmud & Angela Wright & Mohammad Mahboob Rahman & Hatice Kizgin & Nripendra P. Rana, 2019. "Disaster management in Bangladesh: developing an effective emergency supply chain network," Annals of Operations Research, Springer, vol. 283(1), pages 1463-1487, 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. Harun Öztürk, 2021. "Optimal production run time for an imperfect production inventory system with rework, random breakdowns and inspection costs," Operational Research, Springer, vol. 21(1), pages 167-204, March.
    2. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    3. Al-Salamah, Muhammad, 2019. "Economic production quantity in an imperfect manufacturing process with synchronous and asynchronous flexible rework rates," Operations Research Perspectives, Elsevier, vol. 6(C).
    4. Taleizadeh, Ata Allah & Cárdenas-Barrón, Leopoldo Eduardo & Mohammadi, Babak, 2014. "A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process," International Journal of Production Economics, Elsevier, vol. 150(C), pages 9-27.
    5. Bouslah, Bassem & Gharbi, Ali & Pellerin, Robert, 2013. "Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system," International Journal of Production Economics, Elsevier, vol. 144(1), pages 143-156.
    6. Chang Wook Kang & Misbah Ullah & Mitali Sarkar & Muhammad Omair & Biswajit Sarkar, 2019. "A Single-Stage Manufacturing Model with Imperfect Items, Inspections, Rework, and Planned Backorders," Mathematics, MDPI, vol. 7(5), pages 1-18, May.
    7. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    8. Taleizadeh, Ata Allah & Sadeghi, Razieh, 2019. "Pricing strategies in the competitive reverse supply chains with traditional and e-channels: A game theoretic approach," International Journal of Production Economics, Elsevier, vol. 215(C), pages 48-60.
    9. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    10. Kazaz, Burak & Sloan, Thomas W., 2013. "The impact of process deterioration on production and maintenance policies," European Journal of Operational Research, Elsevier, vol. 227(1), pages 88-100.
    11. Hossein Salehi & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2016. "An EOQ model with random disruption and partial backordering," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2600-2609, May.
    12. Peymankar, Mahboobe & Dehghanian, Farzad & Ghiami, Yousef & Abolbashari, Mohammad Hassan, 2018. "The effects of contractual agreements on the economic production quantity model with machine breakdown," International Journal of Production Economics, Elsevier, vol. 201(C), pages 203-215.
    13. Guchhait, Partha & Kumar Maiti, Manas & Maiti, Manoranjan, 2013. "Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 144(1), pages 180-188.
    14. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, vol. 54(C), pages 147-157.
    15. Ouyang, Liang-Yuh & Chang, Chun-Tao, 2013. "Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging," International Journal of Production Economics, Elsevier, vol. 144(2), pages 610-617.
    16. Lee, Sunghee & Kim, Daeki, 2014. "An optimal policy for a single-vendor single-buyer integrated production–distribution model with both deteriorating and defective items," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 161-170.
    17. Noori-Daryan, Mahsa & Taleizadeh, Ata Allah & Jolai, Fariborz, 2019. "Analyzing pricing, promised delivery lead time, supplier-selection, and ordering decisions of a multi-national supply chain under uncertain environment," International Journal of Production Economics, Elsevier, vol. 209(C), pages 236-248.
    18. Ata Allah Taleizadeh & Masoumeh Sadat Babaei & Seyed Taghi Akhavan Niaki & Mahsa Noori-daryan, 2020. "Bundle pricing and inventory decisions on complementary products," Operational Research, Springer, vol. 20(2), pages 517-541, June.
    19. Khan, M. & Jaber, M.Y. & Guiffrida, A.L. & Zolfaghari, S., 2011. "A review of the extensions of a modified EOQ model for imperfect quality items," International Journal of Production Economics, Elsevier, vol. 132(1), pages 1-12, July.
    20. Wee, Hui Ming & Widyadana, Gede Agus, 2013. "A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule," Omega, Elsevier, vol. 41(6), pages 941-954.

    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:261:y:2018:i:1:d:10.1007_s10479-017-2563-7. 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.