Designing the Optimization Model of the Number of Servers Minimizing the Total Queue in the Queuing System at the Toll Gate
Rio Aurachman (a*)
a) Telkom University
Jalan Telekomunikasi Nomor 1, Bandung 40257
*rioaurachman[at]telkomuniversity.ac.id
Abstract
In determining the number of optimal server in highway, a method is needed to automatically provides information when the queue is predicted will be too long. The approach taken is optimization mathematical modeling by modifying the queue formulation that has been developed. The Mathematical modeling process use methodology proposed by Daellenbach, starting from system modeling and followed with mathematical modeling along with verification and validation. We find mathematical models that can optimize the allocation server, adapting to the flow of vehicle. 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 servers).
Keywords: Queue, M/M/C, Mathematical Model, Highway, Optimization
Topic: Smart City