Advances and Applications in Statistics
Volume 60, Issue 2, Pages 179 - 188
(February 2020) http://dx.doi.org/10.17654/AS060020179 |
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ANALYSIS OF QUEUE AND PERFORMANCE OF TOLL MUKTIHARJO SEMARANG, INDONESIA AS AUTOMATIC TOLL SERVICE SYSTEMS
Sugito, Alan Prahutama and Mustafid
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Abstract: Queue theory is triggered by the problem of limited service capacity to serve customer demand. The queuing process is a real example of a Poisson process that occurs a lot in various service facilities now, based on data from the Central Statistics Agency in 2017, it was noted that there were 15,493,068 cars, 2,509,258 buses and 7,523,550 vehicles of goods. The vehicle queue system model obtained at the Toll Muktiharjo Automatic Toll Gate is Service discipline is First In First Out (FIFO), which means that the vehicle that comes first will be the first to be served so that it will come out first. The amount of vehicle capacity coming and the source of the call is not limited to the queue of vehicles at the Toll Muktiharjo Automatic Toll Substation where there are 99.2564 vehicles on average, in total queues and vehicles being served, the average vehicle in 30 minutes the vehicle waiting in line to get service is 98.2557 vehicles, the waiting time in the system is estimated at 15.51732 seconds. The waiting time estimated in the queue is 15.36084 seconds and the probability that the unemployed service officer is Po = 0.367106 which means that the queue system has a busy opportunity of 63.2894% and the remaining 36.7106% is the chance the queue system is not busy. When the service station provided is 4, the value of the time the vehicle waits in line is in the average of 13,389775 seconds, the level of activity in the service area is in the average of 25.02%. When the service substations provided are 5, the value of the waiting time and the level of busyness will also automatically decrease, but the construction of automatic toll booths at toll gates will also lead to increased toll booth maintenance costs. |
Keywords and phrases: queue, Poisson distribution, Automatic Toll Service Systems.
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