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A note on integrated single vendor single buyer model with stochastic demand and variable lead time

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  • Hsiao, Yu-Cheng

Abstract

Ben-Daya and Hariga [2004. Integrated single vendor single buyer model with stochastic demand and variable lead time. International Journal of Production Economics 92, 75-80] recently proposed the paper about integrated single vendor single buyer model with stochastic demand and variable lead time. The lead time is proportional to the lot size produced by the vendor in addition to a fixed delay due to the transportation, setup and nonproductive time. The end-customers accept backorders when the shortage occurs at the buyer side. An order to the vendor is placed each time the inventory level reaches the reorder point. In this note, a modified model is proposed under a different assumption that there are two different reorder points and service levels.

Suggested Citation

  • Hsiao, Yu-Cheng, 2008. "A note on integrated single vendor single buyer model with stochastic demand and variable lead time," International Journal of Production Economics, Elsevier, vol. 114(1), pages 294-297, July.
    • Handle: RePEc:eee:proeco:v:114:y:2008:i:1:p:294-297
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    1. Ben-Daya, M. & Hariga, M., 2004. "Integrated single vendor single buyer model with stochastic demand and variable lead time," International Journal of Production Economics, Elsevier, vol. 92(1), pages 75-80, November.
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    1. S. Sarkar & B. C. Giri, 2020. "A vendor–buyer integrated inventory system with variable lead time and uncertain market demand," Operational Research, Springer, vol. 20(1), pages 491-515, March.
    2. Hoque, M.A., 2013. "A vendor–buyer integrated production–inventory model with normal distribution of lead time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 409-417.
    3. Sumon Sarkar & Sunil Tiwari & B. C. Giri, 2022. "Impact of uncertain demand and lead-time reduction on two-echelon supply chain," Annals of Operations Research, Springer, vol. 315(2), pages 2027-2055, August.
    4. Sumon Sarkar & Bibhas C. Giri, 2022. "Safety stock management in a supply chain model with waiting time and price discount dependent backlogging rate in stochastic environment," Operational Research, Springer, vol. 22(2), pages 917-946, April.
    5. M. A. Hoque, 2021. "An optimal solution policy to an integrated manufacturer-retailers problem with normal distribution of lead times of delivering equal and unequal-sized batches," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 483-512, June.
    6. Bendre, Abhijit Bhagwan & Nielsen, Lars Relund, 2013. "Inventory control in a lost-sales setting with information about supply lead times," International Journal of Production Economics, Elsevier, vol. 142(2), pages 324-331.
    7. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    8. Mou, Qiong & Cheng, Yunlong & Liao, Huchang, 2017. "A note on “lead time reduction strategies in a single-vendor-single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand”," International Journal of Production Economics, Elsevier, vol. 193(C), pages 827-831.
    9. Biswajit Sarkar & Bikash Koli Dey & Mitali Sarkar & Ali AlArjani, 2021. "A Sustainable Online-to-Offline (O2O) Retailing Strategy for a Supply Chain Management under Controllable Lead Time and Variable Demand," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
    10. Wen-Tsung Ho & Yu-Cheng Hsiao, 2014. "Optimal Mixed Batch Shipment Policy with Variable Safety Factor for the Single-Vendor Single-Buyer Production-Inventory System," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 648-663, May.
    11. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    12. Hsiao, Yu-Cheng, 2008. "Integrated logistic and inventory model for a two-stage supply chain controlled by the reorder and shipping points with sharing information," International Journal of Production Economics, Elsevier, vol. 115(1), pages 229-235, September.
    13. Glock, Christoph H., 2012. "Lead time reduction strategies in a single-vendor–single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 37-44.
    14. Waseem Sajjad & Misbah Ullah & Razaullah Khan & Mubashir Hayat, 2022. "Developing a Comprehensive Shipment Policy through Modified EPQ Model Considering Process Imperfections, Transportation Cost, and Backorders," Logistics, MDPI, vol. 6(3), pages 1-20, June.

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