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A multi-period multi-commodity lot-sizing problem with supplier selection, storage selection and discounts for the process industry

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  • Kirschstein, Thomas
  • Meisel, Frank

Abstract

In this paper we consider the sourcing process of a production facility from the process industry. The production facility sources raw materials from a set of suppliers that offer different discount schemes. For storing raw materials, heterogeneous storage facilities can be used, which vary with respect to their associated costs and capacities. We formulate the corresponding planning problem of selecting suppliers and storage facilities as well as determining order quantities and transport flows under the discount schemes offered by the suppliers. For solving large problem instances, a heuristic based on kernel search is proposed and evaluated in a real world case study. The case study reveals that supplier selection and storage selection are highly interdependent decisions. By integrating both perspectives, significant savings can be generated. It turns out that single-sourcing is the dominant strategy for most raw materials. However, the selection of the optimal suppliers depends on both the prices offered by the suppliers as well as the associated logistics costs for transportation and stock-holding.

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  • Kirschstein, Thomas & Meisel, Frank, 2019. "A multi-period multi-commodity lot-sizing problem with supplier selection, storage selection and discounts for the process industry," European Journal of Operational Research, Elsevier, vol. 279(2), pages 393-406.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:2:p:393-406
    DOI: 10.1016/j.ejor.2019.05.039
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    1. Manerba, Daniele & Mansini, Renata & Perboli, Guido, 2018. "The Capacitated Supplier Selection problem with Total Quantity Discount policy and Activation Costs under uncertainty," International Journal of Production Economics, Elsevier, vol. 198(C), pages 119-132.
    2. Awi Federgruen & Chung‐Yee Lee, 1990. "The dynamic lot size model with quantity discount," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 707-713, October.
    3. Aria Shahsavar & Nima Zoraghi & Babak Abbasi, 2018. "Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects," Operational Research, Springer, vol. 18(2), pages 315-342, July.
    4. Anantaram Balakrishnan & Harihara Prasad Natarajan, 2014. "Integrated Procurement Planning in Multi-division Firms," Production and Operations Management, Production and Operations Management Society, vol. 23(10), pages 1795-1810, October.
    5. Crama, Y. & Pascual J., R. & Torres, A., 2004. "Optimal procurement decisions in the presence of total quantity discounts and alternative product recipes," European Journal of Operational Research, Elsevier, vol. 159(2), pages 364-378, December.
    6. Chaudhry, Sohail S. & Forst, Frank G. & Zydiak, James L., 1993. "Vendor selection with price breaks," European Journal of Operational Research, Elsevier, vol. 70(1), pages 52-66, October.
    7. Jackson, Jonathan E. & Munson, Charles L., 2016. "Shared resource capacity expansion decisions for multiple products with quantity discounts," European Journal of Operational Research, Elsevier, vol. 253(3), pages 602-613.
    8. Mansini, Renata & Savelsbergh, Martin W.P. & Tocchella, Barbara, 2012. "The supplier selection problem with quantity discounts and truckload shipping," Omega, Elsevier, vol. 40(4), pages 445-455.
    9. Guastaroba, G. & Savelsbergh, M. & Speranza, M.G., 2017. "Adaptive Kernel Search: A heuristic for solving Mixed Integer linear Programs," European Journal of Operational Research, Elsevier, vol. 263(3), pages 789-804.
    10. Jiefeng Xu & Leonard L. Lu, 1998. "The dynamic lot size model with quantity discount: Counterexamples and correction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(4), pages 419-422, June.
    11. Benton, W. C. & Park, Seungwook, 1996. "A classification of literature on determining the lot size under quantity discounts," European Journal of Operational Research, Elsevier, vol. 92(2), pages 219-238, July.
    12. Goossens, D.R. & Maas, A.J.T. & Spieksma, F.C.R. & van de Klundert, J.J., 2007. "Exact algorithms for procurement problems under a total quantity discount structure," European Journal of Operational Research, Elsevier, vol. 178(2), pages 603-626, April.
    13. Enrico Angelelli & Renata Mansini & M. Speranza, 2012. "Kernel Search: a new heuristic framework for portfolio selection," Computational Optimization and Applications, Springer, vol. 51(1), pages 345-361, January.
    14. Munson, Charles L. & Jackson, Jonathan, 2015. "Quantity Discounts: An Overview and Practical Guide for Buyers and Sellers," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 8(1-2), pages 1-130, June.
    15. Manerba, Daniele & Mansini, Renata, 2012. "An exact algorithm for the Capacitated Total Quantity Discount Problem," European Journal of Operational Research, Elsevier, vol. 222(2), pages 287-300.
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    4. Shuai Wang & Jizhuang Hui & Bin Zhu & Ying Liu, 2022. "Adaptive Genetic Algorithm Based on Fuzzy Reasoning for the Multilevel Capacitated Lot-Sizing Problem with Energy Consumption in Synchronizer Production," Sustainability, MDPI, vol. 14(9), pages 1-24, April.

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