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A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate

Author

Listed:
  • Bikash Koli Dey

    (Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan 304 022, India
    These authors contributed equally to this work.)

  • Biswajit Sarkar

    (Department of Industrial & Management Engineering, Hanyang University, Ansan Gyeonggi-do 15588, Korea)

  • Sarla Pareek

    (Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan 304 022, India
    These authors contributed equally to this work.)

Abstract

This model investigates the variable production cost for a production house; under a two-echelon supply chain management where a single vendor and multi-retailers are involved. This production system goes through a long run system and generates an out-of-control state due to different issues and produces defective items. This model considers the reduction of the defective rate and setup cost through investment. A discrete investment for setup cost reduction and a continuous investment is considered to reduce the defective rate and to increase the quality of products. Setup and processing time are dependent on lead time in this model. The model is solved analytically to find the optimal values of the production rate, safety factors, optimum quantity, lead time length, investment for setup cost reduction, and the probability of the production process going out-of-control. An efficient algorithm is constructed to find the optimal solution numerically and sensitivity analysis is given to show the impact of different parameters. A case study and different cases are also given to validate the model.

Suggested Citation

  • Bikash Koli Dey & Biswajit Sarkar & Sarla Pareek, 2019. "A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate," Mathematics, MDPI, vol. 7(4), pages 1-25, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:328-:d:219770
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    References listed on IDEAS

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    1. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2008. "Coordination of a single-manufacturer/multi-buyer supply chain with credit option," International Journal of Production Economics, Elsevier, vol. 111(2), pages 676-685, February.
    2. Ouyang, Liang-Yuh & Wu, Kun-Shan & Ho, Chia-Huei, 2004. "Integrated vendor-buyer cooperative models with stochastic demand in controllable lead time," International Journal of Production Economics, Elsevier, vol. 92(3), pages 255-266, December.
    3. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    4. Sarkar, Biswajit & Moon, Ilkyeong, 2014. "Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 155(C), pages 204-213.
    5. Shib Sana, 2015. "An EOQ model for stochastic demand for limited capacity of own warehouse," Annals of Operations Research, Springer, vol. 233(1), pages 383-399, October.
    6. Sung Jun Kim & Biswajit Sarkar, 2017. "Supply Chain Model with Stochastic Lead Time, Trade-Credit Financing, and Transportation Discounts," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-14, May.
    7. Brojeswar Pal & Shib Sankar Sana & Kripasindhu Chaudhuri, 2015. "A distribution-free newsvendor problem with nonlinear holding cost," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1269-1277, May.
    8. 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.
    9. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(2), pages 493-505, April.
    10. Banerjee, Avijit & Burton, Jonathan S., 1994. "Coordinated vs. independent inventory replenishment policies for a vendor and multiple buyers," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 215-222, June.
    11. Banerjee, Avijit & Banerjee, Snehamay, 1994. "A coordinated order-up-to inventory control policy for a single supplier and multiple buyers using electronic data interchange," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 85-91, June.
    12. Hoque, M.A., 2008. "Synchronization in the single-manufacturer multi-buyer integrated inventory supply chain," European Journal of Operational Research, Elsevier, vol. 188(3), pages 811-825, August.
    13. Goyal, S.K., 1987. "Economic ordering policy for deteriorating items over an infinite time horizon," European Journal of Operational Research, Elsevier, vol. 28(3), pages 298-301, March.
    14. Glock, Christoph H. & Kim, Taebok, 2015. "The effect of forward integration on a single-vendor–multi-retailer supply chain under retailer competition," International Journal of Production Economics, Elsevier, vol. 164(C), pages 179-192.
    15. Glock, C. H. & Kim, T., 2015. "The effect of forward integration on a single-vendor-multi-retailer supply chain under retailer competition," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 72130, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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