Queue theory for triangular and weibull arrival distribution models (case study of Banyumanik toll)

• Published in: Journal of physics. Conference series Vol. 1025; no. 1; pp. 12125 - 12132
• Main Authors: Sugito, Rahmawati, Rita, Wardhani, Jenesia Kusuma
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.05.2018
• Subjects: Federal regulation; Highway transportation; Physics; Queuing theory; Toll roads
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/1025/1/012125

Queuing is one of the most common phenomena in daily life. Queued also happens on highway during busy time. The Electronic Toll Collection (ETC) was the new system of the Banyumanik toll gate which operates in 2014. Before ETC, Banyumanik toll gate users got regular service (regular toll gate) by paying in cash only. The ETC benefits more than regular service, but automatic toll gate (ETC) users are still few compared to regular toll gate users. To know the effectiveness of substance service, this paper used analysis of queuing system. The research was conducted at Toll Gate Banyumanik with the implementation time on 26-28 December 2016 for Ungaran-Semarang direction, and 29-31 December 2016 for Semarang- Ungaran direction. In one day, observation was done for 11 hours. That was at 07.00 a.m. until 06.00 p.m. There are 4 models of queues at Banyumanik toll gate. Here the four models will be used on the number of arrival and service time. Based on the simulation with Arena, the result showed that queue model regular toll gate in Ugaran-Semarang direction is (Tria/G/3):(GD/∞/∞) and the queue model for automatic toll gate is (G/G/3):(GD/∞/∞). While the queue model for the direction of Semarang-Ungaran regular toll gate is (G/G/3):(GD/∞/∞) and the queue model of automatic toll gate is (Weib/G/3):(GD/∞/∞).