ABSTRACT

In determining the optimal number of servers on a highway, a method is needed to automatically provide information when the queue is predicted to be too long. The approach taken is optimization mathematical modeling by modifying the queue formulation that has been developed. The mathematical modeling process uses methodology proposed by Daellenbach, starting from system modeling and followed by mathematical modeling along with verification and validation. We find mathematical models that can optimize the allocation server, adapting to the flow of vehicles. The focus of the findings is on the M/M/C queue system (the number of arrivals per unit memoryless time with Poisson distribution, memoryless service time with binomial distribution, and more than one server).