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Shipment Policy for an Economic Production Quantity Model Considering Imperfection and Transportation Cost

Author

Listed:
  • Mubashir Hayat

    (Department of Mechanical Engineering, Jalozai Campus, University of Engineering and Technology, Peshawar 24240, Pakistan)

  • Bashir Salah

    (Industrial Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia)

  • Misbah Ullah

    (Department of Industrial Engineering, University of Engineering and Technology, Peshawar 25120, Pakistan)

  • Iftikhar Hussain

    (Department of Industrial Engineering, University of Engineering and Technology, Peshawar 25120, Pakistan)

  • Razaullah Khan

    (Department of Mechanical Engineering Technology, University of Technology, Nowshera 24100, Pakistan)

Abstract

Determining replenishment lot size and number of shipments in a traditional production setup has been of great interest among researchers during the last decades. In order to survive modern competition, the manufacturer has to make good decisions about the lot size that is to be shipped to the retailer. Recently, several researchers have developed mathematical models for modelling different real-world situations; however, these models are lacking due to a combination of imperfection in process and shipment lot sizing. Therefore, in the proposed research, shipment policy for an imperfect production setup has been developed with transportation costs taken into consideration. The model analyzed lot sizing for manufacturers and retailers with imperfections in terms of equally sized shipments. Furthermore, an all-unit-discount policy for shipment is considered in the proposed research, and at the end, numerical computation and sensitivity analyses are carried out to gain more insight into the specifications of the model.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:21:p:8964-:d:436266
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    References listed on IDEAS

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    1. Kropf, Andreas & Sauré, Philip, 2014. "Fixed costs per shipment," Journal of International Economics, Elsevier, vol. 92(1), pages 166-184.
    2. B.C. Giri & A. Chakraborty & T. Maiti, 2017. "Consignment stock policy with unequal shipments and process unreliability for a two-level supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 55(9), pages 2489-2505, May.
    3. Swenseth, Scott R. & Godfrey, Michael R., 2002. "Incorporating transportation costs into inventory replenishment decisions," International Journal of Production Economics, Elsevier, vol. 77(2), pages 113-130, May.
    4. Ertogral, K. & Darwish, M. & Ben-Daya, M., 2007. "Production and shipment lot sizing in a vendor-buyer supply chain with transportation cost," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1592-1606, February.
    5. 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.
    6. 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.
    7. Sağlam, Ümit & Banerjee, Avijit, 2018. "Integrated multiproduct batch production and truck shipment scheduling under different shipping policies," Omega, Elsevier, vol. 74(C), pages 70-81.
    8. Goyal, Suresh K. & Nebebe, Fassil, 2000. "Determination of economic production-shipment policy for a single-vendor-single-buyer system," European Journal of Operational Research, Elsevier, vol. 121(1), pages 175-178, February.
    9. Sajadieh, Mohsen S. & Akbari Jokar, Mohammad R., 2009. "Optimizing shipment, ordering and pricing policies in a two-stage supply chain with price-sensitive demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(4), pages 564-571, July.
    10. 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.
    11. Biswajit Sarkar & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "Optimal reliability, production lot size and safety stock in an imperfect production system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 467-490.
    12. Chiu, Singa Wang & Lin, Li-Wen & Chen, Kuang-Ku & Chou, Chung-Li, 2013. "Determining production–shipment policy for a vendor–buyer integrated system with rework and an amending multi-delivery schedule," Economic Modelling, Elsevier, vol. 33(C), pages 668-675.
    13. Ali Ekici & Baṣak Altan & Okan Örsan Özener, 2016. "Pricing decisions in a strategic single retailer/dual suppliers setting under order size constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1887-1898, April.
    14. YuJan Shen & KuanFu Shen & ChihTe Yang, 2019. "A Production Inventory Model for Deteriorating Items with Collaborative Preservation Technology Investment Under Carbon Tax," Sustainability, MDPI, vol. 11(18), pages 1-18, September.
    15. Ata Allah Taleizadeh & Mahsa Noori-daryan & Reza Tavakkoli-Moghaddam, 2015. "Pricing and ordering decisions in a supply chain with imperfect quality items and inspection under buyback of defective items," International Journal of Production Research, Taylor & Francis Journals, vol. 53(15), pages 4553-4582, August.
    16. Mario Di Nardo & Mariano Clericuzio & Teresa Murino & Chiara Sepe, 2020. "An Economic Order Quantity Stochastic Dynamic Optimization Model in a Logistic 4.0 Environment," Sustainability, MDPI, vol. 12(10), pages 1-25, May.
    17. 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.
    18. 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.
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