Government's relief supplies procurement model based on quantity flexible contract and Markov chain

LIU Yang, TIAN Jun, FENG Gengzhong

Systems Engineering - Theory & Practice ›› 2020, Vol. 40 ›› Issue (1) : 119-133.

PDF(801 KB)
PDF(801 KB)
Systems Engineering - Theory & Practice ›› 2020, Vol. 40 ›› Issue (1) : 119-133. DOI: 10.12011/1000-6788-2018-0604-15

Government's relief supplies procurement model based on quantity flexible contract and Markov chain

  • LIU Yang, TIAN Jun, FENG Gengzhong
Author information +
History +

Abstract

The sudden disaster can be regarded as a random event, occurring with a certain probability. Since the state of the sudden disaster is always shifting, the purchased relief supplies will result in waste if the disaster state gets better. The government can't meet the demand for relief supplies if the disaster state continues to deteriorate. Therefore, it is of great important to take the state transition of sudden disasters into the government's procurement strategy for relief supplies. This paper regarded the disaster state transition as a limited homogeneous Markov chain. The procurement model of government's relief supplies was established based on quantity flexible contract. We uncovered the condition that the government and the supplier reached cooperation. The optimal decisions of the government's procurement and the supplier's reserves quantity were also derived. Furthermore, numerical calculation and sensitivity analysis were used to analyze the influence of several exogenous variables on the decision strategies of the government and the supplier and their cost-profit, providing a new perspective for government's relief supplies purchasing decisions. It showed that the proposed model not only improve the level of the total quantity of relief supplies reserves, but also safeguard supplier's profit and control government's cost.

Key words

relief supplies procurement / quantity flexible contract / Markov chain / state transition

Cite this article

Download Citations
LIU Yang , TIAN Jun , FENG Gengzhong. Government's relief supplies procurement model based on quantity flexible contract and Markov chain. Systems Engineering - Theory & Practice, 2020, 40(1): 119-133 https://doi.org/10.12011/1000-6788-2018-0604-15

References

[1] 陕西民政. 2016 年版《国家自然灾害救助应急预案》解读[EB/OL].[2016-03-30]. http://shaanxi.mca.gov.cn/article/zcfg/jzjj/201603/20160300936157.shtml.
[2] 民政部. 解读:《关于加强自然灾害救助物资储备体系建设的指导意见》[EB/OL].[2015-09-10]. http://www.mca.gov.cn/article/zwgk/jd/201509/20150900873680.shtml.
[3] 国家发展和改革委员会. 国家发展改革委关于全面深化价格机制改革的意见[EB/OL].[2017-11-8]. http://www.ndrc.gov.cn/zcfb/zcfbtz/201711/t20171110866776.html.
[4] 卢少平, 袁春满, 朱斌, 等. 应急物资储备的社会化研究[J]. 物流技术, 2009, 28(8):15-17. Lu S P, Yuan C M, Zhu B, et al. Research on reserve socialization of emergency supplies[J]. Logistics Technology, 2009, 28(8):15-17.
[5] 田军, 张海青, 汪应洛. 基于能力期权契约的双源应急物资采购模型[J]. 系统工程理论与实践, 2013, 33(9):2212-2219.Tian J, Zhang H Q, Wang Y L. Emergency supplies purchasing model based on capacity option contract with dual purchasing sources[J]. Systems Engineering——Theory & Practice, 2013, 33(9):2212-2219.
[6] 田军, 葛永玲, 侯丛丛. 政府主导的基于实物期权契约的应急物资采购模型[J]. 系统工程理论与实践, 2014, 34(10):2583-2590.Tian J, Ge Y L, Hou C C. Government-driving emergency supplies procurement model based on real option contract[J]. Systems Engineering——Theory & Practice, 2014, 34(10):2583-2590.
[7] 张琳, 田军, 杨瑞娜, 等. 数量柔性契约中的应急物资采购定价策略研究[J]. 系统工程理论与实践, 2016, 36(10):2591-2600.Zhang L, Tian J, Yang R N, et al. Emergency supplies procurement pricing strategy under quantity flexible contract[J]. Systems Engineering——Theory & Practice, 2016, 36(10):2591-2600.
[8] 张琳, 田军, 冯耕中. 基于柔性契约的政府应急物资采购模型研究[J]. 运筹与管理, 2017, 26(5):54-61.Zhang L, Tian J, Feng G Z. Government emergency supplies procurement model based on flexible contract[J]. Operations Research and Management Science, 2017, 26(5):54-61.
[9] 丁斌, 桂斌. 基于合作博弈的预付条件下应急物资库存策略[J]. 运筹与管理, 2011, 20(3):60-65.Ding B, Gui B. On emergency material inventory strategy under prepayment based on cooperative game[J]. Operations Research and Management Science, 2011, 20(3):60-65.
[10] 丁斌, 孙政晓. 预付条件下应急物资的Stackelberg 采购模型[J]. 北京理工大学学报 (社会科学版), 2010, 12(2):68-70.Ding B, Sun Z X. Stackelberg purchasing model for emergency materials under the circumstances of advance payment[J]. Journal of Beijing Institute of Technology (Social Sciences Edition), 2010, 12(2):68-70.
[11] 丁斌, 邹月月. 基于政企联合储备模式下的应急物资的EOQ 模型[J]. 大连理工大学学报(社会科学版), 2012, 33(1):90-94.Ding B, Zou Y Y. The EOQ model of emergency material based on the government and enterprise united reserve models[J]. Journal of Dalian University of Technology (Social Sciences Edition), 2012, 33(1):90-94.
[12] 王熹徽, 梁樑. 救灾供应链采购策略及契约协调机制研究[J]. 中国管理科学, 2013, 21(4):62-73.Wang X H, Liang L. Research of purchasing strategy coordination on relief supply chain[J]. Chinese Journal of Management Science, 2013, 21(4):62-73.
[13] Liang L, Wang X H, Gao J G. An option contract pricing model of relief material supply chain[J]. Omega, 2012, 40(5):594-600.
[14] 陈业华, 史开菊. 突发事件灾前应急物资政企联合储备模式[J]. 系统工程, 2014, 32(2):84-90.Chen Y H, Shi K J. Emergency materials reserve mode based on government and manufacture joint before emergency[J]. Systems Engineering, 2014, 32(2):84-90.
[15] 陈涛, 黄钧, 张玲. 协议企业实物储备, 生产能力储备模式的协调性研究[J]. 中国管理科学, 2013, 21(5):149-156.Chen T, Huang J, Zhang L. Research on coordination of the enterprises in-kind agreement physical reserves and production capacity reserves mode[J]. Chinese Journal of Management Science, 2013, 21(5):149-156.
[16] 罗静, 李从东. 基于演化博弈的应急物资生产能力储备策略[J]. 工业工程, 2015, 18(2):15-19.Luo J, Li C D. Capacity reserve strategy of emergency materials based on evolutionary game[J]. Industrial Engineering Journal, 2015, 18(2):15-19.
[17] Zhao Y X, Ma L J, Xie G, et al. Coordination of supply chains with bidirectional option contracts[J]. European Journal of Operational Research, 2013, 229(2):375-381.
[18] Barnesschuster D, Bassok Y, Anupindi R. Coordination and flexibility in supply contracts with options[J]. Manufacturing & Service Operations Management, 2002, 4(4):171-207.
[19] Gastaldi M, Ketikidis P H, Cucchiella F. Risk management in supply chain:A real option approach[J]. Journal of Manufacturing Technology Management, 2006, 17(6):700-720.
[20] Lodree E J, Taskin S. An insurance risk management framework for disaster relief and supply chain disruption inventory planning[J]. Journal of the Operational Research Society, 2008, 59(5):674-684.
[21] Taskin S, Lodree E J. Inventory decisions for emergency supplies based on hurricane count predictions[J]. International Journal of Production Economics, 2010, 126(1):66-75.
[22] Jornsten K, Nonas S L, Sandal L, et al. Mixed contracts for the newsvendor problem with real options and discrete demand[J]. Omega, 2013, 41(5):809-819.
[23] Rabbani M, Arani H V, Rafiei H. Option contract application in emergency supply chains[J]. International Journal of Services & Operations, 2015, 20(4):385-397.
[24] Johansson L, Olsson F. Age-based inventory control in a multi-echelon system with emergency replenishments[J]. European Journal of Operational Research, 2017, 265(3):951-961.
[25] Wyk E V, Yadavalli V S S, Carstens H. Decision support in supply chain management for disaster relief in somalia[J]. Advances in Intelligent Systems and Computing, 2013, 203:13-22.
[26] Emmett J, Lodree J. Pre-storm emergency supplies inventory planning[J]. Journal of Humanitarian Logistics and Supply Chain Management, 2011, 1(1):50-77.
[27] Roni M S, Jin M Z, Eksioglu S D. A hybrid inventory management system responding to regular demand and surge demand[J]. Omega, 2015, 52(C):190-200.
[28] Jaksic M, Fransoo J C. Optimal inventory management with supply backordering[J]. International Journal of Production Economics, 2015, 159(C):254-264.
[29] Sheu J B, Pan C. Relief supply collaboration for emergency logistics responses to large-scale disasters[J]. Transportmetrica A:Transport Science, 2015, 11(3):210-242.
[30] Saputra T Y, Pots O, Smidtdestombes K, et al. The impact of mean time between disasters on inventory pre-positioning strategy[J]. Disaster Prevention and Management, 2015, 24(1):115-130.
[31] Wang X, Liu L. Coordination in a retailer-led supply chain through option contract[J]. International Journal of Production Economics, 2007, 110(1):115-127.

Funding

Humanities and Social Sciences Foundation of Ministry of Education of China (19YJA630068); National Science and Technology Support Plan of China (2012BAH08F06)
PDF(801 KB)

604

Accesses

0

Citation

Detail

Sections
Recommended

/