Traffic lights queues with dependent arrivals as a generalization to queueing theory.

This paper considers a fixed-cycle and a semi-vehicular actuated traffic light queue with strictly stationary arrivals, independent and identically distributed departures, and lost times. These queues are reduced to a generalized model of Loynes, and sufficient conditions are derived under which these queues have stationary distributions. Two typical examples of these semi-vehicular actuated traffic light queues are discussed.