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A three layer multi-item production–inventory model for multiple suppliers and retailers

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  • Pal, Brojeswar
  • Sana, Shib Sankar
  • Chaudhuri, Kripasindhu

Abstract

The paper deals with a production inventory model for various types of items where multiple suppliers, a manufacturer and the multiple non-competing retailers are the members of the supply chain. In this model, each supplier supplies only one type of raw material to the manufacturer. The manufacturer produces a finished item by the combination of certain percentage of the various types of raw materials. The manufacturer produces also multi-items and delivers them according to the demand of the different retailers. Finally, an integrated profit of the supply chain is optimized by optimal ordering lot sizes of the raw materials. A numerical example is provided to justify the proposed model.

Suggested Citation

  • Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A three layer multi-item production–inventory model for multiple suppliers and retailers," Economic Modelling, Elsevier, vol. 29(6), pages 2704-2710.
  • Handle: RePEc:eee:ecmode:v:29:y:2012:i:6:p:2704-2710
    DOI: 10.1016/j.econmod.2012.08.022
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    References listed on IDEAS

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    1. Hill, R.M. & Pakkala, T.P.M., 2007. "Base stock inventory policies for a multi-item demand process," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 137-148, September.
    2. Haksever, Cengiz & Moussourakis, John, 2008. "Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts," European Journal of Operational Research, Elsevier, vol. 184(3), pages 930-945, February.
    3. Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
    4. Khouja, Moutaz, 2003. "Optimizing inventory decisions in a multi-stage multi-customer supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 193-208, May.
    5. 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.
    6. Cárdenas-Barrón, Leopoldo Eduardo, 2007. "Optimizing inventory decisions in a multi-stage multi-customer supply chain: A note," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 647-654, September.
    7. Bhattacharya, D. K., 2005. "On multi-item inventory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 786-791, May.
    8. Gary D. Eppen & R. Kipp Martin, 1987. "Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 832-848, December.
    9. Glock, C. H., 2011. "A multiple-vendor single-buyer integrated inventory model with a variable number of vendors," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57821, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    10. John A. Muckstadt, 1973. "A Model for a Multi-Item, Multi-Echelon, Multi-Indenture Inventory System," Management Science, INFORMS, vol. 20(4-Part-I), pages 472-481, December.
    11. Stephen C. Graves, 1979. "Note--On the Deterministic Demand Multi-Product Single-Machine Lot Scheduling Problem," Management Science, INFORMS, vol. 25(3), pages 276-280, March.
    12. Caggiano, Kathryn E. & Jackson, Peter L. & Muckstadt, John A. & Rappold, James A., 2009. "Efficient computation of time-based customer service levels in a multi-item, multi-echelon supply chain: A practical approach for inventory optimization," European Journal of Operational Research, Elsevier, vol. 199(3), pages 744-749, December.
    13. Tsao, Yu-Chung, 2010. "Managing multi-echelon multi-item channels with trade allowances under credit period," International Journal of Production Economics, Elsevier, vol. 127(2), pages 226-237, October.
    14. Sarker, Bhaba R. & Jamal, A.M.M. & Mondal, Sanjay, 2008. "Optimal batch sizing in a multi-stage production system with rework consideration," European Journal of Operational Research, Elsevier, vol. 184(3), pages 915-929, February.
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    Cited by:

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    2. Dharamender Singh & Anurag Jayswal & Majed G. Alharbi & Ali Akbar Shaikh, 2021. "An Investigation of a Supply Chain Model for Co-Ordination of Finished Products and Raw Materials in a Production System under Different Situations," Sustainability, MDPI, vol. 13(22), pages 1-25, November.
    3. VANOVERMEIRE, Christine & SÖRENSEN, Kenneth, 2013. "Integration of the cost allocation in the optimization of collaborative bundling," Working Papers 2013019, University of Antwerp, Faculty of Business and Economics.
    4. Wu, Kan & Yuan, Xue-Ming, 2016. "Optimal production-inventory policy for an integrated multi-stage supply chain with time-varying demandAuthor-Name: Zhao, Shi Tao," European Journal of Operational Research, Elsevier, vol. 255(2), pages 364-379.
    5. Sanjoy Kumar Paul & Ruhul Sarker & Daryl Essam, 2018. "A reactive mitigation approach for managing supply disruption in a three-tier supply chain," Journal of Intelligent Manufacturing, Springer, vol. 29(7), pages 1581-1597, October.
    6. Paul, Sanjoy Kumar & Sarker, Ruhul & Essam, Daryl, 2014. "Managing real-time demand fluctuation under a supplier–retailer coordinated system," International Journal of Production Economics, Elsevier, vol. 158(C), pages 231-243.
    7. Sarker, Ruhul & Essam, Daryl, 2017. "A quantitative model for disruption mitigation in a supply chainAuthor-Name: Paul, Sanjoy Kumar," European Journal of Operational Research, Elsevier, vol. 257(3), pages 881-895.
    8. Vanovermeire, Christine & Sörensen, Kenneth, 2014. "Integration of the cost allocation in the optimization of collaborative bundling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 125-143.

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