Mathematical Model For Minimize The Arrival Waiting Time Of Cyclic Signal System

Document Type : Primary Research paper


1 Department of Mathematics, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology Avadi, Chennai - 62, Tamil Nadu, India.

2 Department of Mathematics, PG & Research Department of Mathematics, Mannar Thirumalai Naicker College, Madurai, Tamil Nadu, India


This paper describes the method of optimizing the efficient green signal time for interruption vehicle queue on the crossroad signal controlled junction, provided the service in sequential, vehicle service flow considered in multilane and queue parameters are described by the Poisson Process. In this paper proposed a mathematical modeling in dynamic signal time and main objective of this chapter provides the maximum service flow in various approaches of traffic signal lights to calculate the total waiting time. Queueing theory very helpful to obtain waiting time and gives the explicit solution of the problem of minimizing interruption at the crossroad junction.