SIMULASI ANTRIAN DENGAN MODEL M[X]/EM/C

Roni Jhonson Simamora

Sari


Queue associated with all aspects of a situation where customers have to wait for a given service, such as the
queue with the arrival of customers in groups providing mass broadly in the real world, for example, the elevator
in the buildings, visitors to the amusement park, air cargo shipments, and bus transporting. As a result of
inaccuracy determine the number of servers in a queue can result in the number of customers who are not served.
Queues models discussed in this study is the queue with the arrival of customers in groups.
follows a Poisson process. The number of subscribers in each group is a random variable (X) and the time
between the arrival of a customer using exponential distribution. The service time using Erlang distribution with
parameter m (Em), the processing served by many server (C). This study uses simulation to analyze the average
customer wait time in the queue, the average waiting time of customers in the system, the average number of
customers in the queue, the average number of customers in the system and the probability of a busy server. The
purpose of this research is to create a queue simulation model M [X] / Em / C so it can find the queue
characteristics derived from the settlement with the simulation.


Keywords: Queue Simulation, Multiple Servers, Batch Arrival, Distribution Erlang


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