“…That is, it is necessary to find such parameters of the traffic control system that the total delay at the crossroads is minimal [ 12 , 13 ]: or
under the constraints where f ∗ ( u i 13 , λ i 13 ) and f pn ∗ ( u i 13 , l i 13 ) are the delay evaluation function and penalty function for the length of queue in front of the stop line of the traffic light in directions 1 and 3, respectively; f ∗ ( u i 24 , λ i 24 ) and f pn ∗ ( u i 24 , l i 24 ) are the delay evaluation function and penalty function for the length of queue in front of the stop line of the traffic light in directions 2 and 4, respectively; u i is the duration of green signal of traffic light in the i-stage ; q i left(13) , q i arriv(13) , q i left(24) , and q i arriv(24) are the number of vehicles entered and left the control zone at the crossroad in the i th phase, respectively; u min and u max are the minimum and maximum duration of the green signal of the traffic light, respectively; l i 13 and l i 24 are the length of the queue in front of the stop line at directions 1 and 3 and 2 and 4 in the i th stage, respectively; L max is the maximum allowed length of the queue in front of the stop line.…”