IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i10p1815-d430221.html
   My bibliography  Save this article

Autonomated Inspection Policy for Smart Factory—An Improved Approach

Author

Listed:
  • Bimal Kumar Sett

    (Department of Mathematics, Hooghly Mohsin College, Chinsurah, Hooghly, West Bengal 712 101, India)

  • Bikash Koli Dey

    (Department of Industrial Engineering, Hongik University, 72-1 Mapo-Gu, Sangsu-Dong, Seoul 04066, Korea)

  • Biswajit Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seadaemun-gu, Seoul 03722, Korea)

Abstract

The proposed model focuses on an imperfect production process (IPP) in which, during long-term production, the system may change to an “out-of-control” state from an “in-control” state and produce some imperfect products because of a long production run length. Brand image and industry reputation are affected by product defectiveness. To increase the profit of any industry and improve reputation and brand image, inspection of the production system is required. However, this inspection is subjected to human error, which negatively affects the assessment of production systems. Herein, an error-free inspection is performed with the help of an autonomation policy, in which each product is inspected via a machine instead of a human, facilitating an error-free inspection and converting the production system to a smart production system. Moreover, in reality, product demand cannot always be constant. Therefore, in this model, a selling-price-dependent demand is considered along with a variable production rate to enhance model applicability. Moreover, total system profit is optimized and optimal values for production run time, inspection scheduling, selling price, buffer inventory, and production rate are determined. Finally, for model validation, some numerical examples along with special cases are provided. The concavity of the optimal function is also proven through graphical illustration. The sensitivity of the key parameters of the presented model is explored and the significance is explained.

Suggested Citation

  • Bimal Kumar Sett & Bikash Koli Dey & Biswajit Sarkar, 2020. "Autonomated Inspection Policy for Smart Factory—An Improved Approach," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1815-:d:430221
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/10/1815/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/8/10/1815/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. S O Duffuaa & M Khan, 2002. "An optimal repeat inspection plan with several classifications," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 1016-1026, September.
    2. Biswajit Sarkar & Kripasindhu Chaudhuri & Shib Sankar Sana, 2010. "A stock-dependent inventory model in an imperfect production process," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 3(4), pages 361-378.
    3. Sudhansu Khanra & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "An EOQ model for perishable item with stock and price dependent demand rate," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(3), pages 320-335.
    4. Chen, Cheng-Kang & Lo, Chih-Chung & Weng, Tzu-Chun, 2017. "Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period," European Journal of Operational Research, Elsevier, vol. 259(2), pages 401-412.
    5. 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.
    6. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    7. Pei, Zhi & Wooldridge, Barbara Ross & Swimberghe, Krist R., 2021. "Manufacturer rebate and channel coordination in O2O retailing," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    8. Wang, Chih-Hsiung, 2007. "Economic off-line quality control strategy with two types of inspection errors," European Journal of Operational Research, Elsevier, vol. 179(1), pages 132-147, May.
    9. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    10. Hu, Fei & Zong, Qun, 2009. "Optimal production run time for a deteriorating production system under an extended inspection policy," European Journal of Operational Research, Elsevier, vol. 196(3), pages 979-986, August.
    11. Songhua Hao & Jun Yang & Christophe Bérenguer, 2020. "Condition-based maintenance with imperfect inspections for continuous degradation processes," Post-Print hal-02860252, HAL.
    12. Sun, Zhengwei & Hupman, Andrea C. & Abbas, Ali E., 2021. "The value of information for price dependent demand," European Journal of Operational Research, Elsevier, vol. 288(2), pages 511-522.
    13. Zhang, Fengxia & Shen, Jingyuan & Ma, Yizhong, 2020. "Optimal maintenance policy considering imperfect repairs and non-constant probabilities of inspection errors," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    14. 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.
    15. Mitali Sarkar & Byung Do Chung, 2020. "Flexible work-in-process production system in supply chain management under quality improvement," International Journal of Production Research, Taylor & Francis Journals, vol. 58(13), pages 3821-3838, July.
    16. Chang Wook Kang & Misbah Ullah & Biswajit Sarkar & Iftikhar Hussain & Rehman Akhtar, 2017. "Impact of random defective rate on lot size focusing work-in-process inventory in manufacturing system," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1748-1766, March.
    17. 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.
    18. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    19. Wang, Chih-Hsiung, 2005. "Integrated production and product inspection policy for a deteriorating production system," International Journal of Production Economics, Elsevier, vol. 95(1), pages 123-134, January.
    20. Biswajit Sarkar & Shib Sankar Sana & Kripasindhu Chaudhuri, 2011. "An economic production quantity model with stochastic demand in an imperfect production system," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 9(3), pages 259-283.
    21. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    22. Biswajit Sarkar, 2016. "Supply Chain Coordination with Variable Backorder, Inspections, and Discount Policy for Fixed Lifetime Products," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-14, February.
    23. Ullah, Mehran & Sarkar, Biswajit, 2020. "Recovery-channel selection in a hybrid manufacturing-remanufacturing production model with RFID and product quality," International Journal of Production Economics, Elsevier, vol. 219(C), pages 360-374.
    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. Monica Aureliana Petcu & Liliana Ionescu-Feleaga & Bogdan-Ștefan Ionescu & Dumitru-Florin Moise, 2023. "A Decade for the Mathematics : Bibliometric Analysis of Mathematical Modeling in Economics, Ecology, and Environment," Mathematics, MDPI, vol. 11(2), pages 1-30, January.
    2. Bikash Koli Dey & Hyesung Seok, 2024. "Intelligent inventory management with autonomation and service strategy," Journal of Intelligent Manufacturing, Springer, vol. 35(1), pages 307-330, January.

    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. Sarkar, Biswajit & Sarkar, Mitali & Ganguly, Baishakhi & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management," International Journal of Production Economics, Elsevier, vol. 231(C).
    2. Ivan Darma Wangsa & Hui Ming Wee & Shih-Hsien Tseng, 2019. "A coordinated vendor–buyer system considering loss and damage claims, insurance cost and stochastic lead time," 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. 10(3), pages 384-398, June.
    3. Muhammad Tayyab & Biswajit Sarkar & Bernardo Nugroho Yahya, 2018. "Imperfect Multi-Stage Lean Manufacturing System with Rework under Fuzzy Demand," Mathematics, MDPI, vol. 7(1), pages 1-18, December.
    4. Shaktipada Bhuniya & Biswajit Sarkar & Sarla Pareek, 2019. "Multi-Product Production System with the Reduced Failure Rate and the Optimum Energy Consumption under Variable Demand," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    5. R. Uthayakumar & M. Rameswari, 2012. "An Economic Production Quantity Model for Defective Items with Trapezoidal type Demand Rate," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 1055-1079, September.
    6. 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.
    7. Subhendu Ruidas & Mijanur Rahaman Seikh & Prasun Kumar Nayak, 2020. "An EPQ model with stock and selling price dependent demand and variable production rate in interval environment," 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. 11(2), pages 385-399, April.
    8. Sarkar, Mitali & Sarkar, Biswajit, 2013. "An economic manufacturing quantity model with probabilistic deterioration in a production system," Economic Modelling, Elsevier, vol. 31(C), pages 245-252.
    9. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    10. Mohammed Alkahtani & Muhammad Omair & Qazi Salman Khalid & Ghulam Hussain & Imran Ahmad & Catalin Pruncu, 2021. "A COVID-19 Supply Chain Management Strategy Based on Variable Production under Uncertain Environment Conditions," IJERPH, MDPI, vol. 18(4), pages 1-23, February.
    11. 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.
    12. Biswajit Sarkar & Waqas Ahmed & Seok-Beom Choi & Muhammad Tayyab, 2018. "Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period," Sustainability, MDPI, vol. 10(12), pages 1-28, December.
    13. 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.
    14. Barun Khara & Jayanta Kumar Dey & Shyamal Kumar Mondal, 2021. "An integrated imperfect production system with advertisement dependent demand using branch and bound technique," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 508-546, June.
    15. 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.
    16. 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.
    17. Ashoke Kumar Bera & Dipak Kumar Jana, 2017. "Multi-item imperfect production inventory model in Bi-fuzzy environments," OPSEARCH, Springer;Operational Research Society of India, vol. 54(2), pages 260-282, June.
    18. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Behrouz Afshar-Nadjafi, 2020. "Lot-sizing problem for a defective processing system with categorized items, backordering and pricing policy," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(4), pages 255-265, August.
    19. Shaofu Du & Yujiao Zhu & Tengfei Nie & Haisuo Yu, 2018. "Loss-averse preferences in a two-echelon supply chain with yield risk and demand uncertainty," Operational Research, Springer, vol. 18(2), pages 361-388, July.
    20. 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.

    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:8:y:2020:i:10:p:1815-:d:430221. 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.