IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i7p1740-d1116463.html
   My bibliography  Save this article

Machine Downtime Effect on the Warm-Up Period in an Economic Production Quantity Problem

Author

Listed:
  • Erfan Nobil

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Leopoldo Eduardo Cárdenas-Barrón

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Dagoberto Garza-Núñez

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Gerardo Treviño-Garza

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Armando Céspedes-Mota

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Imelda de Jesús Loera-Hernández

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Neale R. Smith

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

  • Amir Hossein Nobil

    (Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Nuevo León, Mexico)

Abstract

Success in the industrial sector is compromised by diverse conditions such as imperfect product production, manufacturing line interruptions, and unscheduled maintenance. The precise use of common practices in production environments is an available solution to eliminate some of these issues. Applying a warm-up period in a manufacturing process is adequate and cost-effective for almost all companies. It improves the equipment’s productivity and helps the manufacturing line generate fewer defective products. Even though several inventory management studies have included a warm-up phase in their models, its use in economic production quantity (EPQ) models remains largely unexplored. Adding a warm-up phase to the production cycle minimizes maintenance expenses and defective products and increases the machine’s performance. In this study, the dependency between the machine downtime and the warm-up length is examined for the first time. The warm-up time depends on the machine’s off-state period: if the machine has a longer operation timeout, then a longer warm-up period is needed. The model includes a function to model the warm-up time relative to the machine downtime and two types of defective products: scrapping and reworking items. The study is concluded with some numerical examples, a sensitivity analysis, and some management insights related to the EPQ.

Suggested Citation

  • Erfan Nobil & Leopoldo Eduardo Cárdenas-Barrón & Dagoberto Garza-Núñez & Gerardo Treviño-Garza & Armando Céspedes-Mota & Imelda de Jesús Loera-Hernández & Neale R. Smith & Amir Hossein Nobil, 2023. "Machine Downtime Effect on the Warm-Up Period in an Economic Production Quantity Problem," Mathematics, MDPI, vol. 11(7), pages 1-23, April.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1740-:d:1116463
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/7/1740/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/7/1740/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pitchaikani Mala & Muthusamy Palanivel & Siluvayan Priyan & Anuwat Jirawattanapanit & Grienggrai Rajchakit & Pramet Kaewmesri, 2022. "Sustainable Supply Chain System for Defective Products with Different Carbon Emission Strategies," Sustainability, MDPI, vol. 14(23), pages 1-22, December.
    2. Rubayet Karim & Koichi Nakade, 2022. "A Literature Review on the Sustainable EPQ Model, Focusing on Carbon Emissions and Product Recycling," Logistics, MDPI, vol. 6(3), pages 1-16, August.
    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. Pablo Biswas & Scott R. Schultz, 2021. "An EPQ model for an imperfect production system with rework, scrap and backorder," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 37(4), pages 411-431.
    5. Glock, C. H. & Grosse, E. H., 2020. "The impact of controllable production rates on the performance of inventory systems: A systematic review of the literature," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 123183, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. Amir Hossein Nobil & Sunil Tiwari & Fatemeh Tajik, 2019. "Economic production quantity model considering warm-up period in a cleaner production environment," International Journal of Production Research, Taylor & Francis Journals, vol. 57(14), pages 4547-4560, July.
    7. S. Ganesan & R. Uthayakumar, 2021. "EPQ models with bivariate random imperfect proportions and learning-dependent production and demand rates," Journal of Management Analytics, Taylor & Francis Journals, vol. 8(1), pages 134-170, January.
    Full references (including those not matched with items on IDEAS)

    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. Erfan Nobil & Leopoldo Eduardo Cárdenas-Barrón & Imelda de Jesús Loera-Hernández & Neale R. Smith & Gerardo Treviño-Garza & Armando Céspedes-Mota & Amir Hossein Nobil, 2023. "Sustainability Economic Production Quantity with Warm-Up Function for a Defective Production System," Sustainability, MDPI, vol. 15(2), pages 1-19, January.
    2. Mahesh Kumar Jayaswal & Mandeep Mittal, 2022. "Impact of Inflation and Credit Financing Policy on the Supply Chain With Learning," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 15(1), pages 1-25, January.
    3. Dharmendra Yadav & Umesh Chand & Ruchi Goel & Biswajit Sarkar, 2023. "Smart Production System with Random Imperfect Process, Partial Backordering, and Deterioration in an Inflationary Environment," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    4. Ali AlArjani & Md. Maniruzzaman Miah & Md. Sharif Uddin & Abu Hashan Md. Mashud & Hui-Ming Wee & Shib Sankar Sana & Hari Mohan Srivastava, 2021. "A Sustainable Economic Recycle Quantity Model for Imperfect Production System with Shortages," JRFM, MDPI, vol. 14(4), pages 1-21, April.
    5. Mitali Sarkar & Li Pan & Bikash Koli Dey & Biswajit Sarkar, 2020. "Does the Autonomation Policy Really Help in a Smart Production System for Controlling Defective Production?," Mathematics, MDPI, vol. 8(7), pages 1-21, July.
    6. S. Ganesan & R. Uthayakumar, 2023. "An EPQ model for a single-machine multiproduct imperfect production system using a hybrid logarithmic barrier method," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1121-1152, September.
    7. Yosef Daryanto & Djoko Setyanto, 2023. "Production Inventory Optimization Considering Direct and Indirect Carbon Emissions under a Cap-and-Trade Regulation," Logistics, MDPI, vol. 7(1), pages 1-18, March.
    8. Rini & Priyamvada & Chandra K. Jaggi, 2021. "Sustainable and flexible production system for a deteriorating item with quality consideration," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(5), pages 951-960, October.
    9. R. Udayakumar & S. Priyan & Mandeep Mittal & Anuwat Jirawattanapanit & Grienggrai Rajchakit & Pramet Kaewmesri, 2022. "A Sustainable Production Scheduling with Backorders under Different Forms of Rework Process and Green Investment," Sustainability, MDPI, vol. 14(24), pages 1-38, December.
    10. uit het Broek, Michiel A.J. & Teunter, Ruud H. & de Jonge, Bram & Veldman, Jasper, 2021. "Joint condition-based maintenance and condition-based production optimization," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    11. Hongzhi Meng & Xiaoke Zhang & Xindong Du & Kaiyuan Du, 2023. "Spatiotemporal Heterogeneity of the Characteristics and Influencing Factors of Energy-Consumption-Related Carbon Emissions in Jiangsu Province Based on DMSP-OLS and NPP-VIIRS," Land, MDPI, vol. 12(7), pages 1-17, July.

    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:gam:jmathe:v:11:y:2023:i:7:p:1740-:d:1116463. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.