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An integrated queuing-stochastic optimization hybrid Genetic Algorithm for a location-inventory supply chain network

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  • Fathi, Mahdi
  • Khakifirooz, Marzieh
  • Diabat, Ali
  • Chen, Huangen

Abstract

We consider a location-inventory optimization model for supply chain (SC) configuration. It includes a supplier, multiple distribution centers (DCs), and multiple retailers. Customer demand and replenishment lead time are considered to be stochastic. Two classes of customer orders, priority and ordinary, are assumed based on their demand. The goal is to find the optimal locations for DCs and their inventory policy simultaneously. For this purpose, a two-phase approach based on queuing theory and stochastic optimization was developed. In the first phase, the stock level of DCs is modeled as a Markov chain process and is analyzed, while in the second phase, a mathematical program is used to determine the optimal number and locations of DCs, the assignment of retailers to DCs, and the order quantity and safety stock level at DCs. As solving this problem is NP-hard, a hybrid Genetic Algorithm (GA) was developed to make the problem computationally tractable.

Suggested Citation

  • Fathi, Mahdi & Khakifirooz, Marzieh & Diabat, Ali & Chen, Huangen, 2021. "An integrated queuing-stochastic optimization hybrid Genetic Algorithm for a location-inventory supply chain network," International Journal of Production Economics, Elsevier, vol. 237(C).
    • Handle: RePEc:eee:proeco:v:237:y:2021:i:c:s0925527321001158
    DOI: 10.1016/j.ijpe.2021.108139
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    1. Sugoutam Ghosh & Rajesh Piplani & S. Viswanathan, 2015. "A New Two-Bin Policy for Inventory Systems with Differentiated Demand Classes," Production and Operations Management, Production and Operations Management Society, vol. 24(5), pages 840-850, May.
    2. Jayaraman, Vaidyanathan & Ross, Anthony, 2003. "A simulated annealing methodology to distribution network design and management," European Journal of Operational Research, Elsevier, vol. 144(3), pages 629-645, February.
    3. Xiaobei Shen & Lina Bao & Yimin Yu & Zhongsheng Hua, 2019. "Managing Supply Chains with Expediting and Multiple Demand Classes," Production and Operations Management, Production and Operations Management Society, vol. 28(5), pages 1129-1148, May.
    4. Berman, Oded & Krass, Dmitry & Tajbakhsh, M. Mahdi, 2012. "A coordinated location-inventory model," European Journal of Operational Research, Elsevier, vol. 217(3), pages 500-508.
    5. Philipp Afèche & J. Michael Pavlin, 2016. "Optimal Price/Lead-Time Menus for Queues with Customer Choice: Segmentation, Pooling, and Strategic Delay," Management Science, INFORMS, vol. 62(8), pages 2412-2436, August.
    6. Onur Kaya & Dogus Ozkok, 2020. "A Blood Bank Network Design Problem with Integrated Facility Location, Inventory and Routing Decisions," Networks and Spatial Economics, Springer, vol. 20(3), pages 757-783, September.
    7. A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "On a queueing-inventory with reservation, cancellation, common life time and retrial," Annals of Operations Research, Springer, vol. 247(1), pages 365-389, December.
    8. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
    9. Zhao, Ning & Lian, Zhaotong, 2011. "A queueing-inventory system with two classes of customers," International Journal of Production Economics, Elsevier, vol. 129(1), pages 225-231, January.
    10. Zuo-Jun Max Shen & Collette Coullard & Mark S. Daskin, 2003. "A Joint Location-Inventory Model," Transportation Science, INFORMS, vol. 37(1), pages 40-55, February.
    11. Ahmadi Javid, Amir & Azad, Nader, 2010. "Incorporating location, routing and inventory decisions in supply chain network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 582-597, September.
    12. Ebrahim Teimoury & Mahdi Fathi, 2013. "A Queueing-Game Model for Making Decisions About Order Penetration Point in Supply Chain in Competitive Environment," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 4(4), pages 1-24, October.
    13. Wang, Minke & Wu, Jiang & Kafa, Nadine & Klibi, Walid, 2020. "Carbon emission-compliance green location-inventory problem with demand and carbon price uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    14. Mark Daskin & Collette Coullard & Zuo-Jun Shen, 2002. "An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results," Annals of Operations Research, Springer, vol. 110(1), pages 83-106, February.
    15. van Wijk, A.C.C. & Adan, I.J.B.F. & van Houtum, G.J., 2019. "Optimal lateral transshipment policies for a two location inventory problem with multiple demand classes," European Journal of Operational Research, Elsevier, vol. 272(2), pages 481-495.
    16. K. Sapna Isotupa, 2015. "Cost analysis of an (S−1,S) inventory system with two demand classes and rationing," Annals of Operations Research, Springer, vol. 233(1), pages 411-421, October.
    17. Güler, M. Güray & Bilgiç, Taner & Güllü, Refik, 2014. "Joint inventory and pricing decisions when customers are delay sensitive," International Journal of Production Economics, Elsevier, vol. 157(C), pages 302-312.
    18. Sourirajan, Karthik & Ozsen, Leyla & Uzsoy, Reha, 2009. "A genetic algorithm for a single product network design model with lead time and safety stock considerations," European Journal of Operational Research, Elsevier, vol. 197(2), pages 599-608, September.
    19. Zheng, Xiaojin & Yin, Meixia & Zhang, Yanxia, 2019. "Integrated optimization of location, inventory and routing in supply chain network design," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 1-20.
    20. Satya S. Malladi & Alan L. Erera & Chelsea C. White, 2020. "A dynamic mobile production capacity and inventory control problem," IISE Transactions, Taylor & Francis Journals, vol. 52(8), pages 926-943, August.
    21. Dezhi Zhang & Shuxin Yang & Shuangyan Li & Jiajun Fan & Bin Ji, 2020. "Integrated Optimization of the Location–Inventory Problem of Maintenance Component Distribution for High-Speed Railway Operations," Sustainability, MDPI, vol. 12(13), pages 1-25, July.
    22. Roni, Mohammad S. & Jin, Mingzhou & Eksioglu, Sandra D., 2015. "A hybrid inventory management system responding to regular demand and surge demand," Omega, Elsevier, vol. 52(C), pages 190-200.
    23. Ho‐Yin Mak & Zuo‐Jun Max Shen, 2009. "A two‐echelon inventory‐location problem with service considerations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(8), pages 730-744, December.
    24. Jia Shu & Chung-Piaw Teo & Zuo-Jun Max Shen, 2005. "Stochastic Transportation-Inventory Network Design Problem," Operations Research, INFORMS, vol. 53(1), pages 48-60, February.
    25. Chen, Qi & Li, Xiaopeng & Ouyang, Yanfeng, 2011. "Joint inventory-location problem under the risk of probabilistic facility disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 991-1003, August.
    26. Sauré, Antoine & Begen, Mehmet A. & Patrick, Jonathan, 2020. "Dynamic multi-priority, multi-class patient scheduling with stochastic service times," European Journal of Operational Research, Elsevier, vol. 280(1), pages 254-265.
    27. Candas, Mehmet Ferhat & Kutanoglu, Erhan, 2020. "Integrated location and inventory planning in service parts logistics with customer-based service levels," European Journal of Operational Research, Elsevier, vol. 285(1), pages 279-295.
    28. Bailing Liu & Hui Chen & Yanhui Li & Xiang Liu, 2015. "A Pseudo-Parallel Genetic Algorithm Integrating Simulated Annealing for Stochastic Location-Inventory-Routing Problem with Consideration of Returns in E-Commerce," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-15, March.
    29. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    30. Murat Karatas & Erhan Kutanoglu, 2020. "Joint optimization of location, inventory, and condition-based replacement decisions in service parts logistics," IISE Transactions, Taylor & Francis Journals, vol. 53(2), pages 246-271, September.
    31. Nozick, Linda K. & Turnquist, Mark A., 2001. "Inventory, transportation, service quality and the location of distribution centers," European Journal of Operational Research, Elsevier, vol. 129(2), pages 362-371, March.
    32. Michael Dreyfuss & Yahel Giat, 2019. "The Effect of Customer Patience on Multiple-Location Inventory Systems," Springer Optimization and Its Applications, in: Mahdi Fathi & Marzieh Khakifirooz & Panos M. Pardalos (ed.), Optimization in Large Scale Problems, pages 201-219, Springer.
    33. Liu, Mingwu & Feng, Mengying & Wong, Chee Yew, 2014. "Flexible service policies for a Markov inventory system with two demand classes," International Journal of Production Economics, Elsevier, vol. 151(C), pages 180-185.
    34. Zümbül Atan & Lawrence V. Snyder & George R. Wilson, 2018. "Transshipment policies for systems with multiple retailers and two demand classes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 159-186, January.
    35. Reza Zanjirani Farahani & Hannaneh Rashidi Bajgan & Behnam Fahimnia & Mohamadreza Kaviani, 2015. "Location-inventory problem in supply chains: a modelling review," International Journal of Production Research, Taylor & Francis Journals, vol. 53(12), pages 3769-3788, June.
    36. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2015. "A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 238-255.
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    4. Farheen Naz & Rohit Agrawal & Anil Kumar & Angappa Gunasekaran & Abhijit Majumdar & Sunil Luthra, 2022. "Reviewing the applications of artificial intelligence in sustainable supply chains: Exploring research propositions for future directions," Business Strategy and the Environment, Wiley Blackwell, vol. 31(5), pages 2400-2423, July.

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