IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v138y2012i1p62-67.html
   My bibliography  Save this article

An economic production quantity model for deteriorating items with multiple production setups and rework

Author

Listed:
  • Widyadana, Gede Agus
  • Wee, Hui Ming

Abstract

Rework is one of the main issues in reverse logistic and green supply chain, since it can reduce production cost and environmental problem. Many researchers focus on developing rework model, but few of them developed model for deteriorating items. In this paper, we develop an economic production quantity (EPQ) model for deteriorating items with rework. In one cycle, production facility can produce items in m production setups and one rework setup, (m, 1) policy. An example and sensitivity analysis is shown to illustrate the model. The results show that the deteriorating rate affects the optimal cost per unit time, but the effect is not significant. The parameters that significantly affect the optimal total cost per unit time are the serviceable holding cost, the production setup cost and the demand rate.

Suggested Citation

  • Widyadana, Gede Agus & Wee, Hui Ming, 2012. "An economic production quantity model for deteriorating items with multiple production setups and rework," International Journal of Production Economics, Elsevier, vol. 138(1), pages 62-67.
  • Handle: RePEc:eee:proeco:v:138:y:2012:i:1:p:62-67
    DOI: 10.1016/j.ijpe.2012.02.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527312000965
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2012.02.025?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. Hsueh, Che-Fu, 2011. "An inventory control model with consideration of remanufacturing and product life cycle," International Journal of Production Economics, Elsevier, vol. 133(2), pages 645-652, October.
    2. Singa Wang Chiu, 2007. "Optimal replenishment policy for imperfect quality EMQ model with rework and backlogging," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 23(2), pages 165-178, March.
    3. Feng, Yan & Viswanathan, S., 2011. "A new lot-sizing heuristic for manufacturing systems with product recovery," International Journal of Production Economics, Elsevier, vol. 133(1), pages 432-438, September.
    4. Cárdenas-Barrón, Leopoldo Eduardo, 2009. "On optimal batch sizing in a multi-stage production system with rework consideration," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1238-1244, August.
    5. Flapper, Simme Douwe P. & Teunter, Ruud H., 2004. "Logistic planning of rework with deteriorating work-in-process," International Journal of Production Economics, Elsevier, vol. 88(1), pages 51-59, March.
    6. Ata Allah Taleizadeh & Seyed Jafar Sadjadi & Seyed Taghi Akhavan Niaki, 2011. "Multiproduct EPQ model with single machine, backordering and immediate rework process," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 5(4), pages 388-411.
    7. Wee, Hui-Ming & Lee, Ming-Chang & Yu, Jonas C.P. & Edward Wang, C., 2011. "Optimal replenishment policy for a deteriorating green product: Life cycle costing analysis," International Journal of Production Economics, Elsevier, vol. 133(2), pages 603-611, October.
    8. 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.
    9. 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.
    10. Yassine, Ali & Maddah, Bacel & Salameh, Moueen, 2012. "Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model," International Journal of Production Economics, Elsevier, vol. 135(1), pages 345-352.
    11. 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.
    12. 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.
    13. Chung, Chun-Jen & Wee, Hui-Ming, 2011. "Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 195-203, January.
    14. Inderfurth, Karl & Kovalyov, Mikhail Y. & Ng, C.T. & Werner, Frank, 2007. "Cost minimizing scheduling of work and rework processes on a single facility under deterioration of reworkables," International Journal of Production Economics, Elsevier, vol. 105(2), pages 345-356, February.
    15. Dobos, Imre & Richter, Knut, 2004. "An extended production/recycling model with stationary demand and return rates," International Journal of Production Economics, Elsevier, vol. 90(3), pages 311-323, August.
    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. Prasert Aengchuan & Busaba Phruksaphanrat, 2018. "Comparison of fuzzy inference system (FIS), FIS with artificial neural networks (FIS + ANN) and FIS with adaptive neuro-fuzzy inference system (FIS + ANFIS) for inventory control," Journal of Intelligent Manufacturing, Springer, vol. 29(4), pages 905-923, April.
    3. Yue Xie & Allen H. Tai & Wai-Ki Ching & Yong-Hong Kuo & Na Song, 2021. "Joint inspection and inventory control for deteriorating items with time-dependent demand and deteriorating rate," Annals of Operations Research, Springer, vol. 300(1), pages 225-265, May.
    4. Katherinne Salas-Navarro & Paula Serrano-Pájaro & Holman Ospina-Mateus & Ronald Zamora-Musa, 2022. "Inventory Models in a Sustainable Supply Chain: A Bibliometric Analysis," Sustainability, MDPI, vol. 14(10), pages 1-21, May.
    5. Chayanika Rout & Ravi Shankar Kumar & Debjani Chakraborty & Adrijit Goswami, 2019. "An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type-2 fuzzy approach," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 657-688, September.
    6. Chan, Chi Kin & Wong, Wai Him & Langevin, A. & Lee, Y.C.E., 2017. "An integrated production-inventory model for deteriorating items with consideration of optimal production rate and deterioration during delivery," International Journal of Production Economics, Elsevier, vol. 189(C), pages 1-13.
    7. Tai, Allen H. & Xie, Yue & Ching, Wai-Ki, 2016. "Inspection policy for inventory system with deteriorating products," International Journal of Production Economics, Elsevier, vol. 173(C), pages 22-29.
    8. Peter Berling & Danja R. Sonntag, 2022. "Inventory control in production–inventory systems with random yield and rework: The unit‐tracking approach," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2628-2645, June.
    9. Xiao, Tiaojun & Xu, Tiantian, 2013. "Coordinating price and service level decisions for a supply chain with deteriorating item under vendor managed inventory," International Journal of Production Economics, Elsevier, vol. 145(2), pages 743-752.
    10. 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).
    11. Smita Rani & Rashid Ali & Anchal Agarwal, 2019. "Fuzzy inventory model for deteriorating items in a green supply chain with carbon concerned demand," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 91-122, March.
    12. Felix T.S. Chan & Nan Li & S.H. Chung & Mozafar Saadat, 2017. "Management of sustainable manufacturing systems-a review on mathematical problems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1210-1225, February.
    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. Pasandideh, Seyed Hamid Reza & Niaki, Seyed Taghi Akhavan & Nobil, Amir Hossein & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "A multiproduct single machine economic production quantity model for an imperfect production system under warehouse construction cost," International Journal of Production Economics, Elsevier, vol. 169(C), pages 203-214.
    15. Tai, Allen H. & Xie, Yue & He, Wanhua & Ching, Wai-Ki, 2019. "Joint inspection and inventory control for deteriorating items with random maximum lifetime," International Journal of Production Economics, Elsevier, vol. 207(C), pages 144-162.
    16. Mubashir Hayat & Bashir Salah & Misbah Ullah & Iftikhar Hussain & Razaullah Khan, 2020. "Shipment Policy for an Economic Production Quantity Model Considering Imperfection and Transportation Cost," Sustainability, MDPI, vol. 12(21), pages 1-16, October.
    17. Yang, P.C. & Chung, S.L. & Wee, H.M. & Zahara, E. & Peng, C.Y., 2013. "Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 143(2), pages 557-566.
    18. Waseem Sajjad & Misbah Ullah & Razaullah Khan & Mubashir Hayat, 2022. "Developing a Comprehensive Shipment Policy through Modified EPQ Model Considering Process Imperfections, Transportation Cost, and Backorders," Logistics, MDPI, vol. 6(3), pages 1-20, June.
    19. Mohammed Alkahtani, 2022. "Mathematical Modelling of Inventory and Process Outsourcing for Optimization of Supply Chain Management," Mathematics, MDPI, vol. 10(7), pages 1-27, April.

    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. 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.
    2. 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.
    3. Nita H. Shah & Dushyantkumar G. Patel & Digeshkumar B. Shah, 2018. "EPQ model for returned/reworked inventories during imperfect production process under price-sensitive stock-dependent demand," Operational Research, Springer, vol. 18(2), pages 343-359, July.
    4. Yang, P.C. & Chung, S.L. & Wee, H.M. & Zahara, E. & Peng, C.Y., 2013. "Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 143(2), pages 557-566.
    5. 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.
    6. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2012. "Lot sizing and quality investment with quality cost analyses for imperfect production and inspection processes with commercial return," International Journal of Production Economics, Elsevier, vol. 140(2), pages 922-933.
    7. 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.
    8. 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).
    9. Zhalechian, M. & Tavakkoli-Moghaddam, R. & Zahiri, B. & Mohammadi, M., 2016. "Sustainable design of a closed-loop location-routing-inventory supply chain network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 182-214.
    10. 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.
    11. 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.
    12. Leopoldo Eduardo Cárdenas-Barrón & María José Lea Plaza-Makowsky & María Alejandra Sevilla-Roca & José María Núñez-Baumert & Buddhadev Mandal, 2021. "An Inventory Model for Imperfect Quality Products with Rework, Distinct Holding Costs, and Nonlinear Demand Dependent on Price," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    13. Chang, Hung-Chi, 2013. "An economic production quantity model with consolidating shipments of imperfect quality items: A note," International Journal of Production Economics, Elsevier, vol. 144(2), pages 507-509.
    14. M. Masanta & B. C. Giri, 2022. "A closed-loop supply chain model with learning effect, random return and imperfect inspection under price- and quality-dependent demand," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 1094-1115, September.
    15. Jonrinaldi, & Zhang, D.Z., 2013. "An integrated production and inventory model for a whole manufacturing supply chain involving reverse logistics with finite horizon period," Omega, Elsevier, vol. 41(3), pages 598-620.
    16. Gouiaa-Mtibaa, A. & Dellagi, S. & Achour, Z. & Erray, W., 2018. "Integrated Maintenance-Quality policy with rework process under improved imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 1-11.
    17. Hallak, Bassam K. & Nasr, Walid W. & Jaber, Mohamad Y., 2021. "Re-ordering policies for inventory systems with recyclable items and stochastic demand – Outsourcing vs. in-house recycling," Omega, Elsevier, vol. 105(C).
    18. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    19. Gribkovskaia, Irina V. & Kovalev, Sergey & Werner, Frank, 2010. "Batching for work and rework processes on dedicated facilities to minimize the makespan," Omega, Elsevier, vol. 38(6), pages 522-527, December.
    20. 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.

    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:proeco:v:138:y:2012:i:1:p:62-67. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.