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Effect of timing on reliability improvement and ordering decisions in a decentralized assembly system

Author

Listed:
  • Amirmohsen Golmohammadi

    (Laurentian University)

  • Alireza Tajbakhsh

    (University of Lethbridge)

  • Mohamed Dia

    (Laurentian University)

  • Pawoumodom M. Takouda

    (Laurentian University)

Abstract

In this study, we investigate a decentralized assembly system in which the suppliers are unreliable and have uncertain production capacities. We focus on the case in which a manufacturer deals with two suppliers that provide complementary products. We assume that the suppliers have the opportunity to improve their reliabilities through investments. The manufacturer determines her order quantities and the suppliers decide on their investment amounts in their capacities. The timing of the decisions has a substantial effect on the optimal behaviors of the players. We investigate the problem under four different settings based on the sequence of events: (1) simultaneous ordering and investment in which decisions are made concurrently, (2) ordering after observation of capacities in which the manufacturer orders after observing the suppliers’ capacities, (3) ordering before realization of capacities in which the manufacturer orders after the suppliers’ investment decisions, and (4) ordering before investments in which the suppliers invest after the manufacturer’s ordering decision. We demonstrate the existence of a Pareto optimal equilibrium in the first two scenarios. In addition, we show that in the fourth scenario, there exists a unique Nash equilibrium in the suppliers’ game. Based on the realized capacities of the suppliers, it may be beneficial for them to share their production information with the manufacturer. In addition, we indicate that using a sequential decision strategy can enhance the performances of the supply chain and the members. When the suppliers are the leaders, they implement investment inflation strategies to stimulate the manufacturer to place larger orders. When the manufacturer is the leader, she uses an order inflation strategy to increase the investment of the suppliers. Our numerical analysis revealed that in different situations, the players may prefer ordering before realization of capacities scenario or ordering before investments. Finally, we extended our results to a multiple-suppliers case in which the suppliers are identical.

Suggested Citation

  • Amirmohsen Golmohammadi & Alireza Tajbakhsh & Mohamed Dia & Pawoumodom M. Takouda, 2022. "Effect of timing on reliability improvement and ordering decisions in a decentralized assembly system," Annals of Operations Research, Springer, vol. 312(1), pages 159-192, May.
    • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-019-03399-5
    DOI: 10.1007/s10479-019-03399-5
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    References listed on IDEAS

    as
    1. Xiao Huang & Tamer Boyacı & Mehmet Gümüş & Saibal Ray & Dan Zhang, 2016. "United We Stand or Divided We Stand? Strategic Supplier Alliances Under Order Default Risk," Management Science, INFORMS, vol. 62(5), pages 1297-1315, May.
    2. Yi-Kuei Lin & Cheng-Ta Yeh & Cheng-Fu Huang, 2016. "A simple algorithm to evaluate supply-chain reliability for brittle commodity logistics under production and delivery constraints," Annals of Operations Research, Springer, vol. 244(1), pages 67-83, September.
    3. Gérard P. Cachon & Martin A. Lariviere, 2001. "Contracting to Assure Supply: How to Share Demand Forecasts in a Supply Chain," Management Science, INFORMS, vol. 47(5), pages 629-646, May.
    4. Xiuli Chao & Xiting Gong & Shaohui Zheng, 2016. "Optimal pricing and inventory policies with reliable and random-yield suppliers: characterization and comparison," Annals of Operations Research, Springer, vol. 241(1), pages 35-51, June.
    5. Tiaojun Xiao & Xiangtong Qi, 2016. "A two-stage supply chain with demand sensitive to price, delivery time, and reliability of delivery," Annals of Operations Research, Springer, vol. 241(1), pages 475-496, June.
    6. Li, Gang & Fan, Huan & Lee, Peter K.C. & Cheng, T.C.E., 2015. "Joint supply chain risk management: An agency and collaboration perspective," International Journal of Production Economics, Elsevier, vol. 164(C), pages 83-94.
    7. Cuihong Li & Laurens G. Debo, 2009. "Strategic dynamic sourcing from competing suppliers with transferable capacity investment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 540-562, September.
    8. Özalp Özer & Wei Wei, 2006. "Strategic Commitments for an Optimal Capacity Decision Under Asymmetric Forecast Information," Management Science, INFORMS, vol. 52(8), pages 1238-1257, August.
    9. Guo Li & Mengqi Liu & Xu Guan, 2017. "Diversity of payment contracts in a decentralized assembly system," Annals of Operations Research, Springer, vol. 257(1), pages 613-639, October.
    10. Zhu, Stuart X., 2015. "Integration of capacity, pricing, and lead-time decisions in a decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 164(C), pages 14-23.
    11. Daniel Granot & Shuya Yin, 2008. "Competition and Cooperation in Decentralized Push and Pull Assembly Systems," Management Science, INFORMS, vol. 54(4), pages 733-747, April.
    12. Chun-Hung Chiu & Tsan-Ming Choi, 2016. "Supply chain risk analysis with mean-variance models: a technical review," Annals of Operations Research, Springer, vol. 240(2), pages 489-507, May.
    13. Xiao, Tiaojun & Yang, Danqin, 2008. "Price and service competition of supply chains with risk-averse retailers under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 114(1), pages 187-200, July.
    14. Leng, Mingming & Parlar, Mahmut, 2010. "Game-theoretic analyses of decentralized assembly supply chains: Non-cooperative equilibria vs. coordination with cost-sharing contracts," European Journal of Operational Research, Elsevier, vol. 204(1), pages 96-104, July.
    15. Sammi Y. Tang & Haresh Gurnani & Diwakar Gupta, 2014. "Managing Disruptions in Decentralized Supply Chains with Endogenous Supply Process Reliability," Production and Operations Management, Production and Operations Management Society, vol. 23(7), pages 1198-1211, July.
    16. Guo Li & Hui Mao & Lei Xiao, 2017. "Impacts of Leader–Follower Structure on Pricing and Production Strategies in a Decentralized Assembly System," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(01), pages 1-24, February.
    17. Fernando Bernstein & Gregory A. DeCroix, 2004. "Decentralized Pricing and Capacity Decisions in a Multitier System with Modular Assembly," Management Science, INFORMS, vol. 50(9), pages 1293-1308, September.
    18. Yang, Jian & Qi, Xiangtong & Xia, Yusen & Yu, Gang, 2006. "Inventory control with Markovian capacity and the option of order rejection," European Journal of Operational Research, Elsevier, vol. 174(1), pages 622-645, October.
    19. Terry A. Taylor & Erica L. Plambeck, 2007. "Simple Relational Contracts to Motivate Capacity Investment: Price Only vs. Price and Quantity," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 94-113, January.
    20. Cuihong Li, 2013. "Sourcing for Supplier Effort and Competition: Design of the Supply Base and Pricing Mechanism," Management Science, INFORMS, vol. 59(6), pages 1389-1406, June.
    21. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2015. "Investing in a Shared Supplier in a Competitive Market: Stochastic Capacity Case," Production and Operations Management, Production and Operations Management Society, vol. 24(10), pages 1537-1551, October.
    22. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Renegotiation for Optimal Contract Flexibility and Investment," Management Science, INFORMS, vol. 53(12), pages 1872-1886, December.
    23. Yanling Feng & Guo Li & Suresh P. Sethi, 2018. "Pull and push contracts in a decentralised assembly system with random component yields," International Journal of Production Research, Taylor & Francis Journals, vol. 56(24), pages 7405-7425, December.
    24. William Ho & Tian Zheng & Hakan Yildiz & Srinivas Talluri, 2015. "Supply chain risk management: a literature review," International Journal of Production Research, Taylor & Francis Journals, vol. 53(16), pages 5031-5069, August.
    25. Wang, Yunzeng & Hu, Xiangpei, 2016. "Optimal production planning for assembly systems with uncertain capacities and random demandAuthor-Name: Ji, Qingkai," European Journal of Operational Research, Elsevier, vol. 253(2), pages 383-391.
    26. Arifoglu, Kenan & Özekici, Süleyman, 2010. "Optimal policies for inventory systems with finite capacity and partially observed Markov-modulated demand and supply processes," European Journal of Operational Research, Elsevier, vol. 204(3), pages 421-438, August.
    27. Bernstein, Fernando & Gürhan Kök, A. & Meca, Ana, 2015. "Cooperation in assembly systems: The role of knowledge sharing networks," European Journal of Operational Research, Elsevier, vol. 240(1), pages 160-171.
    28. Cuihong Li & Laurens G. Debo, 2009. "Second Sourcing vs. Sole Sourcing with Capacity Investment and Asymmetric Information," Manufacturing & Service Operations Management, INFORMS, vol. 11(3), pages 448-470, July.
    29. Li Jiang & Yunzeng Wang, 2010. "Supplier Competition in Decentralized Assembly Systems with Price-Sensitive and Uncertain Demand," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 93-101, January.
    30. Yunzeng Wang, 2006. "Joint Pricing-Production Decisions in Supply Chains of Complementary Products with Uncertain Demand," Operations Research, INFORMS, vol. 54(6), pages 1110-1127, December.
    31. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
    32. Fernando Bernstein & Gregory A. DeCroix, 2006. "Inventory Policies in a Decentralized Assembly System," Operations Research, INFORMS, vol. 54(2), pages 324-336, April.
    33. Atan, Zümbül & Ahmadi, Taher & Stegehuis, Clara & Kok, Ton de & Adan, Ivo, 2017. "Assemble-to-order systems: A review," European Journal of Operational Research, Elsevier, vol. 261(3), pages 866-879.
    34. Li, Yongjian & Zhen, Xueping & Qi, Xiangtong & Cai, Gangshu (George), 2016. "Penalty and financial assistance in a supply chain with supply disruption," Omega, Elsevier, vol. 61(C), pages 167-181.
    35. Chunguang Bai & Joseph Sarkis, 2016. "Supplier development investment strategies: a game theoretic evaluation," Annals of Operations Research, Springer, vol. 240(2), pages 583-615, May.
    36. Hau L. Lee & Corey Billington, 1993. "Material Management in Decentralized Supply Chains," Operations Research, INFORMS, vol. 41(5), pages 835-847, October.
    37. Fuqiang Zhang, 2006. "Competition, Cooperation, and Information Sharing in a Two-Echelon Assembly System," Manufacturing & Service Operations Management, INFORMS, vol. 8(3), pages 273-291, March.
    38. Mahesh Nagarajan & Greys Sošić, 2009. "Coalition Stability in Assembly Models," Operations Research, INFORMS, vol. 57(1), pages 131-145, February.
    39. Mari Sako, 2004. "Supplier development at Honda, Nissan and Toyota: comparative case studies of organizational capability enhancement," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 13(2), pages 281-308, April.
    40. Brian Tomlin, 2003. "Capacity Investments in Supply Chains: Sharing the Gain Rather Than Sharing the Pain," Manufacturing & Service Operations Management, INFORMS, vol. 5(4), pages 317-333, November.
    41. Yuhong He & Shuya Yin, 2015. "Joint Selling of Complementary Components Under Brand and Retail Competition," Manufacturing & Service Operations Management, INFORMS, vol. 17(4), pages 470-479, October.
    42. van der Laan, Erwin & Salomon, Marc & Dekker, Rommert, 1999. "An investigation of lead-time effects in manufacturing/remanufacturing systems under simple PUSH and PULL control strategies," European Journal of Operational Research, Elsevier, vol. 115(1), pages 195-214, May.
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