Publication Type : Journal Article
Publisher : Transportmetrica B: Transport Dynamics, Taylor & Francis
Source : Transportmetrica B: Transport Dynamics, Taylor & Francis, Volume 7, Issue 1, p.967-991 (2019)
Url : https://doi.org/10.1080/21680566.2018.1540950
Keywords : cell transmission model, Dynamic Traffic Assignment, Lagrangian dual decomposition, optimal solution structures, Traffic signal control, vehicle holding-back problem
Campus : Bengaluru
School : School of Engineering
Department : Electronics and Communication
Year : 2019
Abstract : This paper devises locally optimal traffic Signal Control (SC) settings in a Non-Holding-Back Dynamic Traffic Assignment with SC (NHB DTA-SC) formulation for single destination (i.e. one source to one destination and many sources to one destination) networks. To this end, we apply temporal–spatial dual decomposition method and decompose the NHB DTA-SC problem into intersection cells and non-intersection cells. Then we further decompose the intersection cells into different subproblems, i.e. Occupancy Minimization (OM), Flow Maximization (FM), and SC. To study the optimal SC structures, we examine the Karush–Kuhn–Tucker (KKT) optimality conditions of the decomposed SC subproblem. Finally, we obtain the locally optimal SC structures under different network conditions that include over-saturated, under-saturated, and queue spillback traffic scenarios. We also present several numerical results to verify the optimality structures found by our theoretical derivations.
Cite this Research Publication : Tarikul Islam, Hai Le Vu, and Manoj Kumar Panda, “System optimal dynamic traffic assignment: solution structures of the signal control in non-holding-back formulations”, Transportmetrica B: Transport Dynamics, vol. 7, no. 1, pp. 967-991, 2019.