Properties of a traffic control policy which ensure the existence of a traffic equilibrium consistent with the policy

The paper considers the traffic assignment problem when there are junctions controlled by traffic signals, and the traffic capacity of each junction is limited. We give certain properties of a control policy. If a particular policy possesses these properties then (under natural conditions) any feasible assignment problem has a solution consistent with that policy. In the mathematical model, traffic flows at one junction do not affect costs at others; this is the most important restriction on the work presented here.