Robust optimization model and algorithm of emergency establishment
Article Text (Baidu Translation)
-
摘要: 为解决不确定情况下应急设施选址问题, 采用鲁棒优化方法处理应急节点权重的区间估计, 基于最优的设施选址到各个应急节点的赋权距离之和最小, 建立有限期要求的不确定性应急设施选址模型, 并给出了模型的求解算法, 比较分析了鲁棒解与确定情况下的最优解。分析结果表明: 当情况发生变化后, 在确定情况下得到的最优解将发生较大的偏差, 而在所有可能发生的情况下, 鲁棒解与最优解目标函数值的最大偏差最小, 因此, 不确定性应急设施选址模型的解可以有效规避风险。Abstract: In order to effectively choose emergency establishment in uncertain case, the weight interval estimation of emergency node was dealt with by using robust optimization method, the minimum weight distance between emergency establishment and emergency node was regarded as aim function, a choice model of emergency establishment in uncertain case was built, a solving arithmetic of the model was put forward, and the robust optimization result and the optimization choice result in certain case were compared.Comparison result shows that compared with the optimization function value, the windage of the optimization solution in certain case is larger than that of the robust optimization solution in uncertain case, so the model availably avoid risk.
-
Key words:
- traffic planning /
- emergency establishment /
- locating problem /
- robust optimization
-
[1] 李晓燕, 陈红. 城市生态交通规划的理论框架[J]. 长安大学学报: 自然科学版, 2006, 26(1): 79-82. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200601017.htmLi Xiao-yan, Chen Hong. Urban eco-transportation planning theory[J]. Journal of Chang'an University: Natural Science Edition, 2006, 26(1): 79-82. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200601017.htm [2] 许良, 高自友. 基于路段能力可靠性的城市交通网络设计[J]. 中国公路学报, 2006, 19(2): 86-90. doi: 10.3321/j.issn:1001-7372.2006.02.015Xu Liang, Gao Zi-you. Urban transport network design based on link capacity reliability[J]. China Journal of Highwayand Transport, 2006, 19(2): 86-90. (in Chinese) doi: 10.3321/j.issn:1001-7372.2006.02.015 [3] 陈松岩, 今井昭夫. 物流网络选址与路径优化问题的模型与启发式解法[J]. 交通运输工程学报, 2006, 6(3): 118-121. doi: 10.3321/j.issn:1671-1637.2006.03.025Chen Song-yan, Imai Akio. Model and heuristic solution for location routing problems of logistics network[J]. Journal of Traffic and Transportation Engineering, 2006, 6(3): 118-121. (in Chinese) doi: 10.3321/j.issn:1671-1637.2006.03.025 [4] 华国伟, 杨丰梅, 黎建强. 两个双目标竞争选址问题模型[J]. 系统工程理论与实践, 2007, 28(1): 99-106. doi: 10.3321/j.issn:1000-6788.2007.01.014Hua Guo-wei, Yang Feng-mei, Li Jian-qiang. Two bi-objective optimization models for competitive location problems[J]. Systems Engineering-Theory & Practice, 2007, 28(1): 99-106. (in Chinese) doi: 10.3321/j.issn:1000-6788.2007.01.014 [5] 龚延成, 郭晓汾, 蔡团结, 等. 物流配送点选址模型及其算法研究[J]. 中国公路学报, 2003, 16(2): 123-126. doi: 10.3321/j.issn:1001-7372.2003.02.031Gong Yan-cheng, Guo Xiao-fen, Cai Tuan-jie, et al. Research on the choosing model of physical distribution sites and its arithmetic[J]. China Journal of Highway and Transport, 2003, 16(2): 123-126. (in Chinese) doi: 10.3321/j.issn:1001-7372.2003.02.031 [6] Daskin M, Hesse S, Revelle S. α-Reliable p-minimax regret: a new model for strategic facility location modeling[J]. Location Science, 1997, 5(4): 227-246. doi: 10.1016/S0966-8349(98)00036-9 [7] Averbakh I, Berman O. Minmax regret median location on anetwork under uncertainty[J]. INFORMS Journal on Computing, 2000, 12(2): 104-110. doi: 10.1287/ijoc.12.2.104.11897 [8] Averbakh I, Berman O. Minimax regret p-center location on a network with demand uncertainty[J]. Location Science, 1997, 5(4): 247-254. doi: 10.1016/S0966-8349(98)00033-3 [9] Averbakh I. Minmax regret linear resource allocation problems[J]. Operations Research Letters, 2004, 32(2): 174-180. doi: 10.1016/S0167-6377(03)00091-9 [10] Montemanni R, Gambardella L M. An exact algorithm for the robust shortest path problem withinterval data[J]. Computers and Operations Research, 2004, 31(10): 1 667-1 680. [11] Kouvelis P, Yu G. Robust Discrete Optimization and Its Applications[M]. Boston: Kluwer Academic Publishers, 1997. [12] Leung S C H, Tsang S O S, Ng W L, et al. A robust optimization model for multi-site production planning problemin anuncertain environment[J]. European Journal of Operational Research, 2007, 181(1): 224-238. [13] 方磊, 何建敏. 给定限期条件下的应急系统优化选址模型及算法[J]. 管理工程学报, 2004, 18(1): 48-51. https://www.cnki.com.cn/Article/CJFDTOTAL-GLGU200401012.htmFang Lei, He Jian-min. Optimal location model of emergency systems by a given deadline[J]. Journal of Industrial Engineering and Engineering Management, 2004, 18(1): 48-51. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLGU200401012.htm [14] 陈伯成. 利用距离矩阵求绝对中心及绝对重心的讨论[J]. 系统工程理论与实践, 1997, 18(1): 1-7. https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL701.000.htmChen Bo-cheng. Study of searching an absolute center and anabsolute median by using distance matrix[J]. Systems Engineering-Theory & Practice, 1997, 18(1): 1-7. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL701.000.htm -
下载:
点击查看大图
图(3)
计量
- 文章访问数: 382
- HTML全文浏览量: 182
- PDF下载量: 425
- 被引次数: 0
