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A Distributionally Robust Joint Chance Constrained Optimization Model for the Dynamic Network Design Problem under Demand Uncertainty

Hua Sun (sunhua19800601@163.com), Ziyou Gao (zygao@bjtu.edu.cn), W. Szeto (ceszeto@hku.hk), Jiancheng Long (jianchenglong@hfut.edu.cn) and Fangxia Zhao (zfx88666@163.com)

Networks and Spatial Economics, 2014, vol. 14, issue 3, 409-433

Abstract: This paper develops a distributionally robust joint chance constrained optimization model for a dynamic network design problem (NDP) under demand uncertainty. The major contribution of this paper is to propose an approach to approximate a joint chance-constrained Cell Transmission Model (CTM) based System Optimal Dynamic Network Design Problem with only partial distributional information of uncertain demand. The proposed approximation is tighter than two popular benchmark approximations, namely the Bonferroni’s inequality and second-order cone programming (SOCP) approximations. The resultant formulation is a semidefinite program which is computationally efficient. A numerical experiment is conducted to demonstrate that the proposed approximation approach is superior to the other two approximation approaches in terms of solution quality. The proposed approximation approach may provide useful insights and have broader applicability in traffic management and traffic planning problems under uncertainty. Copyright Springer Science+Business Media New York 2014

Keywords: Dynamic network design problem; Distributionally robust joint chance constraints; Worst-Case Conditional Value-at-Risk; Semidefinite programming; Demand uncertainty (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s11067-014-9236-8

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