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This article explores the coalitional stability of a new cooperative controlpolicy for freeways and parallel queuing facilities with multiple servers.Based on predicted future delays per queue or lane, a VOT-heterogeneouspopulation of agents can agree to switch lanes or queues and transfer paymentsto each other in order to minimize the total cost of the incoming platoon. Thestrategic interaction is captured by an n-level Stackelberg model withcoalitions, while the cooperative structure is formulated as a partitionfunction game (PFG). The stability concept explored is the strong-core for PFGswhich we found appropiate given the nature of the problem. This concept ensuresthat the efficient allocation is individually rational and coalitionallystable. We analyze this control mechanism for two settings: a static verticalqueue and a dynamic horizontal queue. For the former, we first characterize theproperties of the underlying cooperative game. Our simulation results suggestthat the setting is always strong-core stable. For the latter, we propose a newrelaxation program for the strong-core concept. Our simulation results on afreeway bottleneck with constant outflow using Newell's car-following modelshow the imputations to be generally strong-core stable and the coalitionalinstabilities to remain small with regard to users' costs.

Study of a Dynamic Cooperative Trading Queue Routing Control Scheme for Freeways and Facilities with Parallel Queues