Transshipment and coordination in a two-echelon supply chain
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 729-747.

To better match supply and demand, many distributors need to make the strategic decision on whether to collaborate with their competing distributors by adopting the transshipment strategy. In this paper, we mainly aim to answer the following questions: whether and when distributors should adopt the transshipment strategy in the presence of inventory competition? If the transshipment strategy is adopted, how supply chains can be coordinated? To answer these questions, in this paper, we model a supply chain with one manufacturer selling to two competing distributors. For the first question, we find that regardless of centralization or decentralization, the transshipment strategy is better when transshipment cost is lower or competition is less intense. Moreover, under decentralization, there always exists a threshold of transshipment cost. When transshipment cost is lower than the threshold, regardless of the competitive intensity, the distributors should always adopt the transshipment strategy. We further extend the model from symmetric distributors to asymmetric distributors and show our results are robust using numerical studies. For the second question, we design a buyback with sale rebate and penalty contract which can achieve coordination as well as win-win outcomes for all supply chain members.

DOI : 10.1051/ro/2016052
Classification : 90B05, 91B70
Mots-clés : Transshipment, contracts, coordination, inventory competition
Zhang, Peng 1 ; He, Yong 1 ; Shi, Chunming (Victor) 2

1 School of Economics and Management, Southeast University, Si Pai Lou 2, Nanjing 210096, P.R. China.
2 Lazaridis School of Business and Economics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada.
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Zhang, Peng; He, Yong; Shi, Chunming (Victor). Transshipment and coordination in a two-echelon supply chain. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 729-747. doi : 10.1051/ro/2016052. http://archive.numdam.org/articles/10.1051/ro/2016052/

S. Axsäter, A new decision rule for lateral transshipments in inventory systems. Manag. Sci. 49 (2003) 1168–1179. | DOI | Zbl

T.W. Archibald, D. Black and K.D. Glazebrook, An index heuristic for transshipment decisions in multi-location inventory systems based on a pairwise decomposition. Eur. J. Oper. Res. 192 (2009) 69–78. | DOI | Zbl

B. Bellantuono, I. Giannoccaro and P. Pontrandolfo, The implications of joint adoption of revenue sharing and advance booking discount programs. Int. J. Prod. Econ. 121 (2009) 383–394. | DOI

J. Burton and A. Banerjee, Cost-parametric analysis of lateral transshipment policies in two-echelon supply chains. Int. J. Prod. Econ. 93–94 (2005) 169–178. | DOI

G.P. Cachon, Supply chain coordination with contracts, In Handbooks in OR and MS. Vol. 11. Edited by A.G. de Kok and S.C. Graves. Elsevier Science Publishers, North-Holland, Amsterdam, The Netherlands (2003) 229–339. | MR

M. Darayi, H. Eskandari and C.D. Geiger, Supply chain channel coordination under sales rebate return policy contract using simulation optimization. Sci. Iran. 21 (2014) 2295–2306.

L. Dong and N. Rudi, Who benefits from transshipment? Exogenous vs. endogenous wholesale prices. Manag. Sci. 50 (2004) 645–657. | DOI

B. Hezarkhani and W. Kubiak, A coordinating contract for transshipment in a two-company supply chain. Eur. J. Oper. Res. 207 (2010) 232–237. | DOI | MR | Zbl

Y.T. Herer, M. Tzur and E. Yücesan, Transshipment: An emerging inventory recourse to achieve supply chain legality. Int. J. Prod. Econ. 80 (2002) 201–212. | DOI

Y. He, P. Zhang and Y.L. Yao, Unidirectional transshipment policies in a dual-channel supply chain. Econ. Model. 40 (2014) 259–268. | DOI

Y. He, et al., Coordinating a supply chain with effort and price dependent stochastic demand. Appl. Math. Model. 33 (2009) 2777–2790. | DOI | MR | Zbl

T. Jia, et al., Integrated inventory routing problem with quality time windows and loading cost for deteriorating items under discrete time. Math. Probl. Eng. 2014 (2014) 537409. | MR | Zbl

K. Krishnan and V. Rao, Inventory control in N warehouses. J. Ind. Eng. 16 (1965) 212–215.

C. Lee and T. Lu, Inventory competition with yield reliability improvement. Naval Res. Logist. 62 (2015) 107–126. | DOI | MR | Zbl

Y. Liao, et al., Optimal responses to stockouts: Lateral transshipment versus emergency order policies. Omega 49 (2014) 79–92. | DOI

X. Li, L. Sun and J. Gao, Coordinating preventive lateral transshipment between two locations. Comput. Ind. Eng. 66 (2013) 933–943. | DOI

J. Li and L. Liu, Supply chain coordination with quantity discount policy. Int. J. Prod. Econ. 101 (2006) 89–98. | DOI

A.H.L. Lau, H. Lau and Y. Zhou, Quantity discount and handling-charge reduction schemes for a manufacturer supplying numerous heterogeneous retailers. Int. J. Prod. Econ. 113 (2008) 425–445. | DOI

W.W. Nasr, M.K. Salameh and L.M. Haidar, Transshipment and safety stock under stochastic supply interruption in a production system. Comput. Ind. Eng. 63 (2012) 274–284. | DOI

R. Noham and M. Tzur, The single and multi-item transshipment problem with fixed transshipment costs. Naval Res. Logist. 61 (2014) 637–664. | DOI | MR | Zbl

F. Olsson, An inventory model with unidirectional lateral transshipments. Eur. J. Oper. Res. 200 (2010) 725–732. | DOI | Zbl

T.L. Olsen and R.P. Parker, On Markov Equilibria in Dynamic Inventory Competition. Oper. Res. 62 (2014) 332–344. | DOI | MR | Zbl

C. Paterson, R. Teunter and K. Glazebrook, Enhanced lateral transshipments in a multi-location inventory system. Eur. J. Oper. Res. 221 (2012) 317–327. | DOI | MR | Zbl

M. Parlar, Game theoretic analysis of the substitutable product inventory problem with random demands. Naval Res. Logist. 35 (1988) 397–409. | DOI | MR | Zbl

A. Roy and S.S. Sana, Chaudhuri K. Optimal Pricing of competing retailers under uncertain demand-a two layer supply chain model. Ann. Oper. Res. 2015 (2015) 1–20. | MR

L.W. Robinson, Optimal and approximate policies in multi-location inventory models with transshipment. Oper. Res. 38 (1990) 278–295. | DOI | MR | Zbl

N. Rudi, S. Kapur and D. Pyke, A two-location inventory model with transshipment and local decision making. Manag. Sci. 47 (2001) 1668–1680. | DOI | Zbl

S.S. Sana, A collaborating inventory model in a supply chain. Econ. Model. 29 (2012) 2016–2023. | DOI

B. Sarkar, S. Saren and H.M, An inventory model with variable demand, component cost and selling price for deteriorating items. Econ. Model. 30 (2006) 306–310. | DOI

S.S. Sana, An EOQ model for stochastic demand for limited capacity of own warehouse. Ann. Oper. Res. 233 (2015) 383–399. | DOI | MR | Zbl

S.S. Sana, Price sensitive demand with random sales price-a newsboy problem. Int. J. Syst. Sci. 43 (2012) 491–498 | DOI | MR | Zbl

M. Slikker, J. Fransoo and M. Wouters, Cooperation between multiple news-vendors with transshipments. Eur. J. Oper. Res. 167 (2005) 370–380. | DOI | MR | Zbl

R.W. Seifert, U.W. Thonemann and M.A. Sieke, Relaxing channel separation: Integrating a virtual store into the supply chain via transshipment. IIE Trans. 38 (2006) 917–931. | DOI

G. Sošic G, Transshipment of Inventories among Retailers: Myopic vs. Farsighted stability. Manag. Sci. 52 (2006) 1493–1508. | DOI | Zbl

J. Shao, H. Krishnan and S.T. Mccormick, Incentives for transshipment in a supply chain with decentralized retailers. M&SOM 13 (2011) 361–372. | DOI

Z. Ton, The role of store execution in managing product availability. Harvard University Press, Cambridge, MA (2002).

A.A. Tsay, The Quantity Flexibility Contract and Supplier-Customer Incentives. Manag. Sci. 45 (1999) 1339–1358. | DOI | Zbl

Q. Wang and D. Tsao, Supply contract with bidirectional options: the buyer’s perspective. Int. J. Prod. Econ. 101 (2006) 30–52. | DOI

W.K. Wong, J. Qi and S.Y.S. Leung, Coordinating supply chains with sales rebate contracts and vendor-managed inventory. Int. J. Prod. Econ. 120 (2009) 151–161. | DOI

D. Wu, Coordination of competing supply chains with news-vendor and buyback contract. Int. J. Prod. Econ. 144 (2013) 1–13. | DOI

T. Xiao, K. Shi and D. Yang, Coordination of a supply chain with consumer return under demand uncertainty. Int. J. Prod. Econ. 124 (2010) 171–180. | DOI

X. Yan and H. Zhao, Inventory sharing and coordination among n independent retailers. Eur. J. Oper. Res. 243 (2015) 576–587. | DOI | MR | Zbl

H. Zhao, J.K. Ryan and V. Deshpande, Optimal dynamic production and inventory transshipment policies for a two-location make-to-stock system. Oper. Res. 56 (2008) 400–410. | DOI | Zbl

J. Zhang, Transshipment and its impact on supply chain members' performance. Manag. Sci. 51 (2005) 1534–1539. | DOI

J. Zhang, et al., Coordinating a supply chain for deteriorating items with a revenue sharing and cooperative investment contract. Omega 56 (2015) 37–49. | DOI

X. Zhao and D. Atkins, Transshipment between competitive retailers. IIE Trans. 41 (2009) 665–676. | DOI

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