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An economic production quantity model with stochastic demand in an imperfect production system

Author

Listed:
  • Biswajit Sarkar
  • Shib Sankar Sana
  • Kripasindhu Chaudhuri

Abstract

The paper deals with an economic production quantity (EPQ) model for both continuous and discrete random demand of merchandise. Usually, 100% of the total product is not of perfect quality, in practice. A certain percent of the total product is of imperfect quality, which follows a probability distribution. The imperfect quality items are reworked at a cost. The percent of defectiveness in the total product usually increases with an increase in production run time. The associated expected integrated profit is maximised by analytical calculus method. The solution of the model is first derived for a general distribution function and then it is analysed for uniform and Poisson distribution of demand. Numerical examples along with the graphical illustrations are lastly provided to illustrate the study of optimal cost functions of the system.

Suggested Citation

  • 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.
    • Handle: RePEc:ids:ijsoma:v:9:y:2011:i:3:p:259-283
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Karuppuchamy Annadurai & Ramasamy Uthayakumar, 2014. "Ordering Cost Reduction in Inventory Model with Defective Items and Backorder Price Discount," Journal of Optimization, Hindawi, vol. 2014, pages 1-14, November.
    8. 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.
    9. Udayan Chanda & Alok Kumar, 2019. "Optimization of EOQ Model for New Products Under Multi-Stage Adoption Process," International Journal of Innovation and Technology Management (IJITM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-25, April.
    10. Wee, Hui-Ming & Huang, Yen-Deng & Wang, Wan-Tsu & Cheng, Yung-Lung, 2014. "An EPQ model with partial backorders considering two backordering costs," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 898-907.

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