Influenza Vaccine Supply Chain Coordination with Reordering Opportunities under Partial Information

doi:10.12005/orms.2015.0006

Abstract

Abstract: A two level influenza vaccine supply chain consisting of a supplier with yield uncertainty and a social planner is studied, in which the social planner know partial information of random yield in decentralized noncontract scenario and know all the information of random yield in centralized control scenario. Owing to shortage in initial supply, the supplier will use the emergency mode of production, which the emergency production cost depends on random yield, to make up for the shortage. After analyzing the model of decentralized noncontract scenario and centralized control scenario, the shortage penalty and cost sharing contract, which can perfect coordinate the influenza vaccine supply chain, is proposed. Finally, the numerical examples and the sensitivity analysis of main parameters are provided.

Key words: operations research, supply chain coordination, influenza vaccine, yield uncertainty, reordering opportunities

摘要： 本文研究了一个产出不确定的供应商与一个社会计划者组成的两级流感疫苗供应链决策问题,其中社会计划者在分散无契约情形时仅知道随机产量的部分信息,而在集中控制情形时知道随机产量的全部信息。供应商在初始供货时由于生产的不确定性而出现短缺,此时供应商将采用紧急生产方式来弥补短缺量,其中紧急生产成本依赖随机产量。文章在分析了分散无契约与集中控制情形后提出用短缺惩罚与成本分享契约来完美协调流感疫苗供应链。最后给出数值算例,并对主要参数进行灵敏度分析。

关键词: 运筹学, 供应链协调, 流感疫苗, 产出不确定, 再订购机会

CLC Number:

F272.3
O22

HUANG Yuan-liang, YANG Chao, JIANG Sheng-jun. Influenza Vaccine Supply Chain Coordination with Reordering Opportunities under Partial Information[J]. Operations Research and Management Science, 2015, 24(1): 40-47.

黄远良, 杨超, 姜生俊. 部分信息下有再订购机会的流感疫苗供应链协调模型[J]. 运筹与管理, 2015, 24(1): 40-47.

References

[1] 维基百科.甲型流感病毒H7N9亚型[OL]. http://zh.wikipedia.org/wiki/%E7%94%B2%E5%9E%8B%E6%B5%81%E6%84%9F%E7%97%85%E6%AF%92H7N9%E4%BA%9E%E5%9E%8B,2013.10.17.
[2] Wilschut J, Mcelhaney J, Palache A. Rapid reference to influenza[M]. second edition. Singapore: Elsevier, 2006.
[3] Longini I, Ackerman M, Elveback L. An optimization model for influenza: a epidemics[J]. Mathematical Biosciences, 1978, 38(1): 141-157.
[4] Chick S, Mamani H, Levi D. Supply chain coordination and influenza vaccination[J]. Operational Research, 2008, 56(6): 1493-1506.
[5] Mamani H, Chick S, Levi D. A game-theoretic model of international influenza vaccination coordination[J]. Management Science, 2013, 59(7): 1650-1670.[6] Deo S, Corbett C. Cournot competition under yield uncertainty: the case of the US influenza vaccine market[J]. Manufacturing & Service Operations Management, 2009, 11(4): 563-576.
[7] Cho S. The optimal composition of influenza vaccines subject to random production yields[J]. Manufacturing & Service Operations Management, 2010, 12(2): 256-277.
[8] Arifoglu K, Deo S, Iravani S. Consumption externality and yield uncertainty in the influenza vaccine supply chain: interventions in demand and supply sides[J]. Management Science, 2012, 58(6): 1072-1091.
[9] Adida E, Dey D, Mamani H. Operational issues and network effects in vaccine markets[J]. European Journal of Operational Research, 2013, 231(2): 414-427.
[10] Yamin D, Gavious A. Incentives’ effect in influenza vaccination policy[J]. Management Science, 2013, 59 (12): 2667-2686.
[11] McQuillan L, Daley M, Stokley S. Impact of the 2004~2005 influenza vaccine shortage on pediatric practice: A national survey[J]. Pediatrics, 2009, 123(2): 186-192.
[12] Gurnani H, Gerchak Y. Coordination in decentralized assembly systems with uncertain component yields[J]. European Journal of Operational Research, 2007, 176(3): 1559-1576.
[13] He Y. Zhang J. Random yield risk sharing in a two-level supply chain[J]. International Journal of Production Economics, 2008, 112 (2): 769-781.
[14] Xu H. Managing production and procurement through option contracts in supply chains with random yield[J]. International Journal of Production Economics, 2010, 126(2): 306-313.
[15] 赵霞,吴方卫.随机产出与需求下农产品供应链协调的收益共享合同研究[J].中国管理科学,2009,17(5):88-95.
[16] 张海燕,许新琨,王圣东.带有随机产出和广告投入的Newsboy模型[J].数学的实践与认识,2012,42(7):196-204.
[17] Li X, Li Y, Cai X. Double marginalization and coordination in the supply chain with uncertain supply[J]. European Journal of Operational Research, 2013, 226(2): 228-236.
[18] Güler M, Keskin M. On coordination under random yield and random demand[J]. Expert Systems with Applications, 2013, 40(9): 3688-3695.
[19] Hu F, Lim C, Lu Z. Coordination of supply chains with a flexible ordering policy under yield and demand uncertainty[J]. International Journal of Production Economics, 2013, 146(2): 686-693.
[20] 卫生部.卫生部关于印发《2009年秋冬季甲型H1N1流感疫苗预防接种指导意见》的通知[OL].http://www.gov.cn/zwgk/2009-09/23/content_1424257.htm, 2013.10.17.
[21] Kazaz B, Webster S. The impact of yield-dependent trading costs on pricing and production planning under supply uncertainty[J]. Manufacturing & Service Operations Management, 2011, 13(3): 404-417.