Development of Macroscopic Queuing Model for Evaluating Effect of Capacity Changing on Vehicle Delays

The main purpose of this paper is to investigate the effect of capacity on queue parameters, in order to improve the efficiency of the road by creating a proper change in the capacity of the highway and reducing the delay caused by queuing. As a system sends a parameter out of the output at a specified time interval, in other words, the system does not have the ability to service the entire input request, the queue is created and the vehicles must wait for service. In traffic queues, in addition to reducing the quality of the trip, Undesirable effect on traffic flow safety is also pronounced. The demand for the use of the road is variable throughout the day, and unfortunately there is no possibility of storing supplies in transportation. Consequently, in many periods of time, it is not possible to use capacity. It is possible to reduce the delay in the roadway by changing the capacity at different intervals. This involves sensitivity analysis on the effect of the capacity on the delay parameters. In this study, a definite queuing model is presented that can estimate the effect of changes in freeway bottleneck capacity on user delays. The formulation of the general problem is based on the definite queue theory and is solved by numerical analysis. A sample problem is investigated using a computer program. Finally, a sensitive analysis has been made on capacity changes. The results indicate that queue performance indicators improve with increasing capacity. By analyzing each case and performing such a sensitive analysis along with applying a suitable policy that changes the capacity of the way, the delay can be reduced and the route efficiency improved. Moreover, the proposed method helps to improve understanding the failure phenomenon in the upstream of traffic jams and large queuing models, and the sensitive analysis can be used to control traffic management. Using the proposed numerical method for each log entry and exit rate, one can calculate queuing parameters in each system (even non-traffic) and calculate the appropriate capacity with expected latency parameters.