Analisis Kinerja Sistem Antrian M/M/S

Abstract

The queuing system is an important factor in the world of telecommunications, such as network traffic or as in everyday life, such as bank queues. One of the main problems in a queuing system is if there is an arrival rate that is greater than the service rate which causes packets to be held in the queue for a very long time. This will affect system performance. One solution to prevent poor performance requires increasing the number of servers used to support the speed of service. Therefore, in this final project, the M/M/S queuing system, a multiple service queuing system or more than one server, is analyzed. Performance gain is carried out by simulation through programming using the Python language and through theoretical calculations. Next, the results of the two analyzes were compared. The final goal of this research is to obtain a number of servers that can be considered ideal to support the speed of service. From the analysis carried out in experiments with λ = 250 packets/minute, μ = 200 packets/minute, it was obtained that the number of servers that can be considered ideal is 5 servers in simulation and 2 servers theoretically. Meanwhile, in experiments with λ = 500 packets/minute, μ = 200 packets/minute, the number of servers that can be considered ideal is 4 servers in simulation and 4 servers theoretically. And in experiments with λ = 750 packets/minute, μ = 200 packets/minute, the number of servers that can be considered ideal is 3 servers in simulation and 5 servers theoretically.