IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v50y2013icp84-97.html
   My bibliography  Save this article

Multiple sourcing under supplier failure risk and quantity discount: A genetic algorithm approach

Author

Listed:
  • Meena, P.L.
  • Sarmah, S.P.

Abstract

This paper investigates an order allocation problem of a manufacturer/buyer among multiple suppliers under the risks of supply disruption. A mixed integer non-linear programming (MINLP) model is developed for order allocation considering different capacity, failure probability and quantity discounts for each supplier. We have shown that the formulated problem is NP-hard in nature and genetic algorithm (GA) approach is used to solve it. The model is illustrated through a numerical study and the result portrays that the cost of supplier has more influence on order quantity allocation rather than supplier’s failure probability.

Suggested Citation

  • Meena, P.L. & Sarmah, S.P., 2013. "Multiple sourcing under supplier failure risk and quantity discount: A genetic algorithm approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 84-97.
  • Handle: RePEc:eee:transe:v:50:y:2013:i:c:p:84-97
    DOI: 10.1016/j.tre.2012.10.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554512000853
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2012.10.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Robert J. Dolan, 1987. "Quantity Discounts: Managerial Issues and Research Opportunities," Marketing Science, INFORMS, vol. 6(1), pages 1-22.
    2. Ranga V. Ramasesh & J. Keith Ord & Jack C. Hayya & Andrew Pan, 1991. "Sole Versus Dual Sourcing in Stochastic Lead-Time (s, Q) Inventory Models," Management Science, INFORMS, vol. 37(4), pages 428-443, April.
    3. Hou, Jing & Zeng, Amy Z. & Zhao, Lindu, 2010. "Coordination with a backup supplier through buy-back contract under supply disruption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 881-895, November.
    4. Meena, P.L. & Sarmah, S.P. & Sarkar, A., 2011. "Sourcing decisions under risks of catastrophic event disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1058-1074.
    5. Lau, Hon-Shiang & Zhao, Long-Geng, 1993. "Optimal ordering policies with two suppliers when lead times and demands are all stochastic," European Journal of Operational Research, Elsevier, vol. 68(1), pages 120-133, July.
    6. Sedarage, Dayani & Fujiwara, Okitsugu & Trung Luong, Huynh, 1999. "Determining optimal order splitting and reorder level for N-supplier inventory systems," European Journal of Operational Research, Elsevier, vol. 116(2), pages 389-404, July.
    7. Ruiz-Torres, Alex J. & Mahmoodi, Farzad, 2006. "A supplier allocation model considering delivery failure, maintenance and supplier cycle costs," International Journal of Production Economics, Elsevier, vol. 103(2), pages 755-766, October.
    8. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    9. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    10. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    11. Thomas, Douglas J. & Tyworth, John E., 2006. "Pooling lead-time risk by order splitting: A critical review," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(4), pages 245-257, July.
    12. Kawtummachai, Ruengsak & Van Hop, Nguyen, 2005. "Order allocation in a multiple-supplier environment," International Journal of Production Economics, Elsevier, vol. 93(1), pages 231-238, January.
    13. Qi, Xiangtong, 2007. "Order splitting with multiple capacitated suppliers," European Journal of Operational Research, Elsevier, vol. 178(2), pages 421-432, April.
    14. 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.
    15. Burke, Gerard J. & Carrillo, Janice & Vakharia, Asoo J., 2008. "Heuristics for sourcing from multiple suppliers with alternative quantity discounts," European Journal of Operational Research, Elsevier, vol. 186(1), pages 317-329, April.
    16. Berger, Paul D. & Gerstenfeld, Arthur & Zeng, Amy Z., 2004. "How many suppliers are best? A decision-analysis approach," Omega, Elsevier, vol. 32(1), pages 9-15, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jong Soo Kim & Eunhee Jeon & Jiseong Noh & Jun Hyeong Park, 2018. "A Model and an Algorithm for a Large-Scale Sustainable Supplier Selection and Order Allocation Problem," Mathematics, MDPI, vol. 6(12), pages 1-19, December.
    2. Faiza Hamdi & Ahmed Ghorbel & Faouzi Masmoudi & Lionel Dupont, 2018. "Optimization of a supply portfolio in the context of supply chain risk management: literature review," Journal of Intelligent Manufacturing, Springer, vol. 29(4), pages 763-788, April.
    3. L. X. Cui, 2016. "Joint optimization of production planning and supplier selection incorporating customer flexibility: an improved genetic approach," Journal of Intelligent Manufacturing, Springer, vol. 27(5), pages 1017-1035, October.
    4. Kwon, Yong Woo & Sheu, Jiuh-Biing & Yoo, Seung Ho, 2022. "Quadratic quantity discount contract under price-dependent demand and consumer returns," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    5. Hao Zhang & Yan Cui & Hepu Deng & Shuxian Cui & Huijia Mu, 2021. "An Improved Genetic Algorithm for the Optimal Distribution of Fresh Products under Uncertain Demand," Mathematics, MDPI, vol. 9(18), pages 1-18, September.
    6. Shin Hee Baek & Jong Soo Kim, 2020. "Efficient Algorithms for a Large-Scale Supplier Selection and Order Allocation Problem Considering Carbon Emissions and Quantity Discounts," Mathematics, MDPI, vol. 8(10), pages 1-17, September.
    7. Ivanov, Dmitry, 2020. "Predicting the impacts of epidemic outbreaks on global supply chains: A simulation-based analysis on the coronavirus outbreak (COVID-19/SARS-CoV-2) case," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    8. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    9. Margolis, Joshua T. & Sullivan, Kelly M. & Mason, Scott J. & Magagnotti, Mariah, 2018. "A multi-objective optimization model for designing resilient supply chain networks," International Journal of Production Economics, Elsevier, vol. 204(C), pages 174-185.
    10. Nguyen, H.N. & Rainwater, C.E. & Mason, S.J. & Pohl, E.A., 2014. "Quantity discount with freight consolidation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 66-82.
    11. PrasannaVenkatesan, S. & Goh, M., 2016. "Multi-objective supplier selection and order allocation under disruption risk," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 124-142.
    12. Fattahi, Mohammad, 2021. "Resilient procurement planning for supply chains: A case study for sourcing a critical mineral material," Resources Policy, Elsevier, vol. 74(C).
    13. Kamalahmadi, Masoud & Parast, Mahour Mellat, 2017. "An assessment of supply chain disruption mitigation strategies," International Journal of Production Economics, Elsevier, vol. 184(C), pages 210-230.
    14. Ponte, Borja & Puche, Julio & Rosillo, Rafael & de la Fuente, David, 2020. "The effects of quantity discounts on supply chain performance: Looking through the Bullwhip lens," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    15. Torabi, S.A. & Baghersad, M. & Mansouri, S.A., 2015. "Resilient supplier selection and order allocation under operational and disruption risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 22-48.
    16. Salehi Sadghiani, N. & Torabi, S.A. & Sahebjamnia, N., 2015. "Retail supply chain network design under operational and disruption risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 95-114.
    17. Pascual, Rodrigo & Santelices, Gabriel & Lüer-Villagra, Armin & Vera, Jorge & Cawley, Alejandro Mac, 2017. "Optimal repairable spare-parts procurement policy under total business volume discount environment," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 276-282.
    18. Hosseini, Seyedmohsen & Ivanov, Dmitry & Dolgui, Alexandre, 2019. "Review of quantitative methods for supply chain resilience analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 285-307.
    19. Li, Xin & Ventura, José A. & Venegas, Bárbara B. & Kweon, Sang Jin & Hwang, Seong Wook, 2018. "An integrated acquisition policy for supplier selection and lot sizing considering total quantity discounts and a quality constraint," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 119(C), pages 19-40.
    20. Aldrighetti, Riccardo & Battini, Daria & Ivanov, Dmitry & Zennaro, Ilenia, 2021. "Costs of resilience and disruptions in supply chain network design models: A review and future research directions," International Journal of Production Economics, Elsevier, vol. 235(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    2. Faiza Hamdi & Ahmed Ghorbel & Faouzi Masmoudi & Lionel Dupont, 2018. "Optimization of a supply portfolio in the context of supply chain risk management: literature review," Journal of Intelligent Manufacturing, Springer, vol. 29(4), pages 763-788, April.
    3. Pritee Ray & Mamata Jenamani, 2016. "Sourcing decision under disruption risk with supply and demand uncertainty: A newsvendor approach," Annals of Operations Research, Springer, vol. 237(1), pages 237-262, February.
    4. Pritee Ray & Mamata Jenamani, 2016. "Sourcing decision under disruption risk with supply and demand uncertainty: A newsvendor approach," Annals of Operations Research, Springer, vol. 237(1), pages 237-262, February.
    5. Song, Dong-Ping & Dong, Jing-Xin & Xu, Jingjing, 2014. "Integrated inventory management and supplier base reduction in a supply chain with multiple uncertainties," European Journal of Operational Research, Elsevier, vol. 232(3), pages 522-536.
    6. Maheswar Singh Mahapatra & Pravash Chandra Pradhan & J. K. Jha, 2022. "Sourcing decisions with order allocation under supply disruption risk considering quantitative and qualitative criteria," Operational Research, Springer, vol. 22(4), pages 3291-3333, September.
    7. Huang, Rongbing & Menezes, Mozart B.C. & Kim, Seokjin, 2012. "The impact of cost uncertainty on the location of a distribution center," European Journal of Operational Research, Elsevier, vol. 218(2), pages 401-407.
    8. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    9. Sarkar, Ashutosh & Mohapatra, Pratap K.J., 2009. "Determining the optimal size of supply base with the consideration of risks of supply disruptions," International Journal of Production Economics, Elsevier, vol. 119(1), pages 122-135, May.
    10. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    11. A K Mishra & P R Tadikamalla, 2006. "Order splitting in single sourcing with scheduled-release orders," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 177-189, February.
    12. Yue, Jinfeng & Xia, Yu & Tran, Thuhang, 2010. "Selecting sourcing partners for a make-to-order supply chain," Omega, Elsevier, vol. 38(3-4), pages 136-144, June.
    13. Preetam Basu & Soumita Ghosh & Milan Kumar, 2019. "Supplier ratings and dynamic sourcing strategies to mitigate supply disruption risks," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 46(1), pages 41-57, March.
    14. Qi, Xiangtong, 2007. "Order splitting with multiple capacitated suppliers," European Journal of Operational Research, Elsevier, vol. 178(2), pages 421-432, April.
    15. Luo, Sha & Ahiska, S. Sebnem & Fang, Shu-Cherng & King, Russell E. & Warsing, Donald P. & Wu, Shuohao, 2021. "An analysis of optimal ordering policies for a two-supplier system with disruption risk," Omega, Elsevier, vol. 105(C).
    16. Mike Prince & J. Cole Smith & Joseph Geunes, 2013. "A three‐stage procurement optimization problem under uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(5), pages 395-412, August.
    17. Meena, P.L. & Sarmah, S.P. & Sarkar, A., 2011. "Sourcing decisions under risks of catastrophic event disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1058-1074.
    18. Bin Zhang & Zekai Lai & Qiangqiang Wang, 2021. "Multi-product dual sourcing problem with limited capacities," Operational Research, Springer, vol. 21(3), pages 2055-2075, September.
    19. Silbermayr, Lena & Minner, Stefan, 2014. "A multiple sourcing inventory model under disruption risk," International Journal of Production Economics, Elsevier, vol. 149(C), pages 37-46.
    20. Silbermayr, Lena & Minner, Stefan, 2016. "Dual sourcing under disruption risk and cost improvement through learning," European Journal of Operational Research, Elsevier, vol. 250(1), pages 226-238.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:50:y:2013:i:c:p:84-97. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.