A risk-averse signal setting policy for regulating hazardous material transportation under uncertain travel demand

被引:18
作者
Chiou, Suh-Wen [1 ]
机构
[1] Natl Dong Hwa Univ, Dept Informat Management, Hualien, Taiwan
关键词
Signal setting policy; Risk-averse model; Bi-level optimization; Robust optimization; Hazmat transportation network; NETWORK DESIGN; ROBUST OPTIMIZATION; BUNDLE METHODS; ROAD NETWORK; EQUILIBRIUM; VERSION; COST;
D O I
10.1016/j.trd.2016.11.029
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
To effectively regulate risk associated with hazmat transportation and minimize travel cost over road network under uncertain travel demand, a min-max bi-level programming problem (MMBLPP) is proposed to determine traffic signal settings. A risk-averse signal setting policy using budget of uncertainty (BOU) is presented against the worst-case realization of uncertainty in travel demand. A risk-averse model determining system optimum routes for hazmat carriers is presented where travel delay incurred by regular traffic at downstream junctions has been taken into account. A min-max single-level model (MMX) and a bundle like solution method are proposed to determine risk-averse signal settings under BOU-based travel demand. To investigate the effectiveness of proposed model, numerical evaluations using real-world road network are empirically made with various scenarios of transport policies. These results reported obviously indicate that the proposed model achieved relatively better results than did traditional one against high-consequence scenarios of uncertain travel demand while substantially mitigating risk in the worst cases. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:446 / 472
页数:27
相关论文
共 58 条
[31]   Value-at-Risk model for hazardous material transportation [J].
Kang, Yingying ;
Batta, Rajan ;
Kwon, Changhyun .
ANNALS OF OPERATIONS RESEARCH, 2014, 222 (01) :361-387
[32]   Designing a road network for hazardous materials transportation [J].
Kara, BY ;
Verter, V .
TRANSPORTATION SCIENCE, 2004, 38 (02) :188-196
[33]   Integrated Network Capacity Expansion and Traffic Signal Optimization Problem: Robust Bi-level Dynamic Formulation [J].
Karoonsoontawong, Ampol ;
Waller, Steven Travis .
NETWORKS & SPATIAL ECONOMICS, 2010, 10 (04) :525-550
[34]   PROXIMAL LEVEL BUNDLE METHODS FOR CONVEX NONDIFFERENTIABLE OPTIMIZATION, SADDLE-POINT PROBLEMS AND VARIATIONAL-INEQUALITIES [J].
KIWIEL, KC .
MATHEMATICAL PROGRAMMING, 1995, 69 (01) :89-109
[35]   PROXIMITY CONTROL IN BUNDLE METHODS FOR CONVEX NONDIFFERENTIABLE MINIMIZATION [J].
KIWIEL, KC .
MATHEMATICAL PROGRAMMING, 1990, 46 (01) :105-122
[36]   A game theoretic framework for the robust railway transit network design problem [J].
Laporte, Gilbert ;
Mesa, Juan A. ;
Perea, Federico .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2010, 44 (04) :447-459
[37]   Discretization modeling, integer programming formulations and dynamic programming algorithms for robust traffic signal timing [J].
Li, Jing-Quan .
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2011, 19 (04) :708-719
[38]   Data-driven linear decision rule approach for distributionally robust optimization of on-line signal control [J].
Liu, Hongcheng ;
Han, Ke ;
Gayah, Vikash V. ;
Friesz, Terry L. ;
Yao, Tao .
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2015, 59 :260-277
[39]   Survey of bundle methods for nonsmooth optimization [J].
Mäkelä, MM .
OPTIMIZATION METHODS & SOFTWARE, 2002, 17 (01) :1-29
[40]   SEMI-SMOOTH AND SEMI-CONVEX FUNCTIONS IN CONSTRAINED OPTIMIZATION [J].
MIFFLIN, R .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (06) :959-972