Car delay near a bus bay with non-motorized vehicles

Car delay model near a bus bay with mixed traffic is proposed based on queuing theory. Bus stream system is described by an M/M/k queue and the service counter is the bus stop. When buses dwell in the non-motorized lane, the car-bicycle conflict and the car-bus conflict are identified. The conflict between different streams is represented by the advanced Markovian model with unequal service rates for customers of two major types. The average car delay is estimated as the sum of the average delay at these two conflict points, and the delay resulting from following the slower bicycles that merged into the motorized lane. Car delay model is the function of three types of traffic streams with buses, cars and bicycles. Numerical results show that the average car delay increases with the increasing flow rates of conflicting streams.