考虑多类应急物资需求不确定的选址模型
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摘要
作为应急资源配置的重要决策,合理布局储备库,既可降低物资供应不足的风险,又能减少物资浪费,以有效应对应急需求的不确定性。本文考虑日常消耗类、生活类和医疗类等3类应急物资需求的不确定性,以经济成本和惩罚成本最小为目标,建立随机规划模型,优化物资储备库选址、不同类型物资的库存等决策,应用样本均值逼近法求解模型。基于地震、洪灾及台风等自然灾害数据,设计情景进行算例分析。结果表明:为避免物资供应不足或浪费,需合理考虑物资供应不足的风险;与Cplex相比,样本均值逼近法能在较短时间内求得较好的近似解。
As the important decision of relief supplies allocation,the appropriate decisions on facility locations for relief supplies can not only reduce the risk of supply shortage,but also reduce the waste of supplies,so as to effectively deal with uncertain demand. By considering uncertainty in demand for daily consuming supplies, living supplies and medical supplies, a stochastic programming model is proposed with the objectives of minimizing economic and penalty costs. The locations of facilities and inventory for different types of relief are optimized. The method of sample mean approximation is used to solve the model. Based on data of natural disasters such as earthquake,flood and typhoon,a serial scenarios are designed for numerical studies. The results show that the risk of shortage of relief supplies should be considered reasonably so as to avoid insufficient supply and waste of resourcesand compared with CPLEX, the sample averageapproximation method can find better approximate solutions in less time.
As the important decision of relief supplies allocation,the appropriate decisions on facility locations for relief supplies can not only reduce the risk of supply shortage,but also reduce the waste of supplies,so as to effectively deal with uncertain demand. By considering uncertainty in demand for daily consuming supplies, living supplies and medical supplies, a stochastic programming model is proposed with the objectives of minimizing economic and penalty costs. The locations of facilities and inventory for different types of relief are optimized. The method of sample mean approximation is used to solve the model. Based on data of natural disasters such as earthquake,flood and typhoon,a serial scenarios are designed for numerical studies. The results show that the risk of shortage of relief supplies should be considered reasonably so as to avoid insufficient supply and waste of resourcesand compared with CPLEX, the sample averageapproximation method can find better approximate solutions in less time.
引文
[1] DOYEN A,ARAS N,BARBAROSOGˇLU G. A two-echelon stochastic facility location model for humanitarian relief logistics[J]. Optimization Letters,2012,6(6):1123-1145.
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[3]张鑫,高淑春.需求不确定下的应急物资储备库选址模型研究[J].中国安全科学学报,2017,27(2):169-174.
[4]葛洪磊,刘南.复杂灾害情景下应急物资配置的随机规划模型[J].系统工程理论与实践,2014,34(12):3034-3042.
[5] RONI M S,JIN M,EKSIOGLU S D. A hybrid inventory management system responding to regular demand and surge demand[J]. Omega,2015,52:190-200.
[6] FALASCA M,ZOBEL C W. A two-stage procurement model for humanitarian relief supply chains[J]. Journal of Humanitarian Logistics and Supply Chain Management,2011,1(2):151-169.
[7]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):2582-2590.
[8] MANSINI R,SAVELSBERGH M,TOCCHELLA B. The supplier selection problem with quantity discounts and truckload shipping[J]. Omega,2012,40(4):445-455.
[9] HAMMAMI R,TEMPONI C,FREIN Y. A scenario-based stochastic model for supplier selection in global context with multiple buyers,currency fluctuation uncertainties,and price discounts[J]. European Journal of Operational Research,2014,233(1):159-170.
[10] QIAN L. Market-based supplier selection with price,delivery time,and service level dependent demand[J]. International Journal of Production Economics,2014,147:697-706.
[11] WARE N R,SINGH S P,BANWET D K. A mixed-integer non-linear program to model dynamic supplier selection problem[J]. Expert Systems with Applications,2014,41(2):671-678.
[12] BALCIK B,AK D. Supplier selection for framework agreements in humanitarian relief[J]. Production and Operations Management,2014,23(6):1028-1041.
[13]民政部,水利部. 2008年十大自然灾害事件[J].中国减灾,2009(1):7-9.
[14]胡少龙,韩传峰,孟令鹏,等.考虑企业生产能力储备的应急物资配置随机规划模型[J].系统工程理论与实践,2018,38(6):1536-1544.
[2]陆相林,宋万杰,赵丽琴.市域应急物资储备库选址模型与实证——以石家庄市为例[J].经济地理,2014,34(4):40-45.
[3]张鑫,高淑春.需求不确定下的应急物资储备库选址模型研究[J].中国安全科学学报,2017,27(2):169-174.
[4]葛洪磊,刘南.复杂灾害情景下应急物资配置的随机规划模型[J].系统工程理论与实践,2014,34(12):3034-3042.
[5] RONI M S,JIN M,EKSIOGLU S D. A hybrid inventory management system responding to regular demand and surge demand[J]. Omega,2015,52:190-200.
[6] FALASCA M,ZOBEL C W. A two-stage procurement model for humanitarian relief supply chains[J]. Journal of Humanitarian Logistics and Supply Chain Management,2011,1(2):151-169.
[7]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):2582-2590.
[8] MANSINI R,SAVELSBERGH M,TOCCHELLA B. The supplier selection problem with quantity discounts and truckload shipping[J]. Omega,2012,40(4):445-455.
[9] HAMMAMI R,TEMPONI C,FREIN Y. A scenario-based stochastic model for supplier selection in global context with multiple buyers,currency fluctuation uncertainties,and price discounts[J]. European Journal of Operational Research,2014,233(1):159-170.
[10] QIAN L. Market-based supplier selection with price,delivery time,and service level dependent demand[J]. International Journal of Production Economics,2014,147:697-706.
[11] WARE N R,SINGH S P,BANWET D K. A mixed-integer non-linear program to model dynamic supplier selection problem[J]. Expert Systems with Applications,2014,41(2):671-678.
[12] BALCIK B,AK D. Supplier selection for framework agreements in humanitarian relief[J]. Production and Operations Management,2014,23(6):1028-1041.
[13]民政部,水利部. 2008年十大自然灾害事件[J].中国减灾,2009(1):7-9.
[14]胡少龙,韩传峰,孟令鹏,等.考虑企业生产能力储备的应急物资配置随机规划模型[J].系统工程理论与实践,2018,38(6):1536-1544.