避难场所生活物资政府—企业联合储备优化问题研究
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摘要
应急避难场所是地震等大型自然灾害发生后人员安置的重要场所。用于救灾的生活物资如食品、饮用水等既是应急资源,同时也是日用消费品,在一定保质期内需要定期更新,因此这种特殊应急资源储备需同时兼顾应急供应保障度和日常管理成本。文章以应急避难场所的一个存储周期为研究对象,将避难所及其周围的超市作为可选存储地点,避难所自行储备的供应保障度高,但日常管理成本较大,周边超市则相反,建立混合整数规划模型,选择周边超市和避难所一同存储一定数量的生活物资,在满足政府预算的条件下,使得应急状态下物资保障程度最大化。文章设计了启发式算法,最后给出算例说明算法的有效性。
Emergency shelters are important to the large scale disaster such as earthquake.The commodity such as food,drinking water,is not only necessary for emergency response but also peacetime,and must be renewed beyond the quality guarantee period,so its storage should balance the management cost and the availability.But shelter storing mode is more costly and available than shop deputy storing mode.A mixed integer programming model is proposed to decide the storage in emergency shelter and select some shops around it and their deputy storage.The objective is maximizing availability satisfying the constraint of budget.Heuristic algorithm and a numerical example are given at the end.
Emergency shelters are important to the large scale disaster such as earthquake.The commodity such as food,drinking water,is not only necessary for emergency response but also peacetime,and must be renewed beyond the quality guarantee period,so its storage should balance the management cost and the availability.But shelter storing mode is more costly and available than shop deputy storing mode.A mixed integer programming model is proposed to decide the storage in emergency shelter and select some shops around it and their deputy storage.The objective is maximizing availability satisfying the constraint of budget.Heuristic algorithm and a numerical example are given at the end.
引文
[1]李开兵,钱红波,李素艳.基于优先度的城市避难场所最优投资规划[J].自然灾害学报,2007,16(5):111-115.
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[4]徐玖平,马艳岚.汶川特大地震灾后社区建设的优选统筹模式[J].管理学报,2009,6(2):170-181.
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[6]祁明亮,池宏,许建国等.平战结合下的公路养护多资源布局问题研究[J].管理学报,2009,6(2):202-206.
[7]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,(8):15-17.
[8]张自立,李向阳,王桂森.基于生产能力储备的应急物资协议企业选择研究[J].运筹与管理,2009,18(1):146-150,162.
[9]Goyal S K,Giri B C.Recent trends in modeling of deteriorating inventory[J].European Journal of Operational Research,2001,134(1):1-16.
[10]Sana S,Goyal S K,Chaudhuri K S.A production-inventory model for a deteriorating items with trended demand and shorta-ges[J].European Journal of Operational Research,2004,157:357-371.
[11]Yang P C,Wee H M.An integrated multi-lot-size production inventory model for deteriorating item[J].Computer&Opera-tions research,2003,30:671-682.
[12]覃毅延,郭崇慧.在弹性需求和物品易变质条件下数量折扣定价模型[J].管理学报,2007,4(2):163-168.
[13]潘伟,张金隆,汪寿阳,谢刚.易变质类季节性商品销售价格及总量采购量的确定[J].管理学报,2007,4(Z1):6-9.
[14]Skouri K,Papachristos S.A continuous review inventory model,with deteriorating items,time-varying demand,linearreplenishment cost,partially time-varying backlogging[J].Applied Mathematical Modeling,2002,26(5):603-617.
[15]Chang C T,Ouyang L Y,Teng J T.An EOQ model for deteriorating items under supplier credits linked to ordering quantity[J].Applied Mathematical Modeling,2003,27:983-996.
[16]Chen Hueykuo,Hsueh Chefu,Chang Meishiang.production scheduling and vehicle routing with time windows for perishablefood products[J].Computers and Operations Research,2009,36(7):2311-2319
[2]陈志芬,李强,王瑜等.应急避难场所建设进度优化模型研究[J].中国安全科学学报,2010,2(2):160-164.
[3]陈志芬,李强,王瑜等.基于有界数据包络分析(DEA)模型的应急避难场所效率评价[J].中国安全科学学报,2009,19(11):152-158.
[4]徐玖平,马艳岚.汶川特大地震灾后社区建设的优选统筹模式[J].管理学报,2009,6(2):170-181.
[5]许建国,池宏等.应急资源需求周期性变化的选址与资源配置模型[J].运筹与管理,2008,17(2):11-17.
[6]祁明亮,池宏,许建国等.平战结合下的公路养护多资源布局问题研究[J].管理学报,2009,6(2):202-206.
[7]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,(8):15-17.
[8]张自立,李向阳,王桂森.基于生产能力储备的应急物资协议企业选择研究[J].运筹与管理,2009,18(1):146-150,162.
[9]Goyal S K,Giri B C.Recent trends in modeling of deteriorating inventory[J].European Journal of Operational Research,2001,134(1):1-16.
[10]Sana S,Goyal S K,Chaudhuri K S.A production-inventory model for a deteriorating items with trended demand and shorta-ges[J].European Journal of Operational Research,2004,157:357-371.
[11]Yang P C,Wee H M.An integrated multi-lot-size production inventory model for deteriorating item[J].Computer&Opera-tions research,2003,30:671-682.
[12]覃毅延,郭崇慧.在弹性需求和物品易变质条件下数量折扣定价模型[J].管理学报,2007,4(2):163-168.
[13]潘伟,张金隆,汪寿阳,谢刚.易变质类季节性商品销售价格及总量采购量的确定[J].管理学报,2007,4(Z1):6-9.
[14]Skouri K,Papachristos S.A continuous review inventory model,with deteriorating items,time-varying demand,linearreplenishment cost,partially time-varying backlogging[J].Applied Mathematical Modeling,2002,26(5):603-617.
[15]Chang C T,Ouyang L Y,Teng J T.An EOQ model for deteriorating items under supplier credits linked to ordering quantity[J].Applied Mathematical Modeling,2003,27:983-996.
[16]Chen Hueykuo,Hsueh Chefu,Chang Meishiang.production scheduling and vehicle routing with time windows for perishablefood products[J].Computers and Operations Research,2009,36(7):2311-2319
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