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Joint economic lot sizing problem for a three—Layer supply chain with stochastic demand

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  • Abdelsalam, Hisham M.
  • Elassal, Magy M.

Abstract

This paper considers the joint economic lot-sizing problem (JELP) for multi-layer supply chain with multi-retailers and single manufacturer and supplier. The paper extends the work of (Ben-Daya et al., 2013) and relaxes the assumption of deterministic demand and constant holding and ordering costs. The paper proposes modifying four computational intelligent algorithms to solve mixed integer problems and compares their performance for solving the problem at hand. The paper, further, compares between adopting a centralized safety stock policy versus a decentralized policy. Results showed cuckoo search to outperform other tested algorithms and, also, favored adopting a centralized policy.

Suggested Citation

  • Abdelsalam, Hisham M. & Elassal, Magy M., 2014. "Joint economic lot sizing problem for a three—Layer supply chain with stochastic demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 272-283.
  • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:272-283
    DOI: 10.1016/j.ijpe.2014.01.015
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    References listed on IDEAS

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    1. Moncayo-Martínez, Luis A. & Zhang, David Z., 2011. "Multi-objective ant colony optimisation: A meta-heuristic approach to supply chain design," International Journal of Production Economics, Elsevier, vol. 131(1), pages 407-420, May.
    2. Ben-Daya, Mohammed & As’ad, Rami & Seliaman, Mohammed, 2013. "An integrated production inventory model with raw material replenishment considerations in a three layer supply chain," International Journal of Production Economics, Elsevier, vol. 143(1), pages 53-61.
    3. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Glock, C. H., 2012. "Lead time reduction strategies in a single-vendor-single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57816, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Osman, Hany & Demirli, Kudret, 2012. "Integrated safety stock optimization for multiple sourced stockpoints facing variable demand and lead time," International Journal of Production Economics, Elsevier, vol. 135(1), pages 299-307.
    6. 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.
    7. 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.
    8. 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.
    9. Duan, Qinglin & Warren Liao, T., 2013. "Optimization of replenishment policies for decentralized and centralized capacitated supply chains under various demands," International Journal of Production Economics, Elsevier, vol. 142(1), pages 194-204.
    10. Gunasekaran, Angappa & Lai, Kee-hung & Edwin Cheng, T.C., 2008. "Responsive supply chain: A competitive strategy in a networked economy," Omega, Elsevier, vol. 36(4), pages 549-564, August.
    11. 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.
    12. Wanke, Peter F., 2009. "Consolidation effects and inventory portfolios," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 107-124, January.
    13. Romeijn, H. Edwin & Shu, Jia & Teo, Chung-Piaw, 2007. "Designing two-echelon supply networks," European Journal of Operational Research, Elsevier, vol. 178(2), pages 449-462, April.
    14. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    15. Moncayo-Martínez, Luis A. & Zhang, David Z., 2013. "Optimising safety stock placement and lead time in an assembly supply chain using bi-objective MAX–MIN ant system," International Journal of Production Economics, Elsevier, vol. 145(1), pages 18-28.
    16. Ben-Daya, M. & Darwish, M. & Ertogral, K., 2008. "The joint economic lot sizing problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 185(2), pages 726-742, March.
    17. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
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    2. Islam, S.M. Shahidul & Hoque, Md. Abdul & Hamzah, Norhayati, 2017. "Single-supplier single-manufacturer multi-retailer consignment policy for retailers’ generalized demand distributions," International Journal of Production Economics, Elsevier, vol. 184(C), pages 157-167.
    3. Maihami, Reza & Govindan, Kannan & Fattahi, Mohammad, 2019. "The inventory and pricing decisions in a three-echelon supply chain of deteriorating items under probabilistic environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 118-138.
    4. Reza Maihami & Behrooz Karimi & Seyyed Mohammad Taghi Fatemi Ghomi, 2017. "Effect of two-echelon trade credit on pricing-inventory policy of non-instantaneous deteriorating products with probabilistic demand and deterioration functions," Annals of Operations Research, Springer, vol. 257(1), pages 237-273, October.
    5. Ke Ma & Sébastien Thomassey & Xianyi Zeng, 2020. "Development of a central order processing system for optimizing demand-driven textile supply chains: a real case based simulation study," Annals of Operations Research, Springer, vol. 291(1), pages 627-656, August.

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