Queuing model using sojourn time distribution with single working vacation and vacation interruption

• Published in: IOP conference series. Materials Science and Engineering Vol. 567; no. 1; pp. 12036 - 12042
• Main Authors: Hertini, Elis, Harisbaya, Chery, Nahar, Julita, Sudradjat
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.07.2019
• Subjects: Customer services; Customers; Poisson distribution; Queuing; Servers; Vacations
• ISSN: 1757-8981; 1757-899X
• DOI: 10.1088/1757-899X/567/1/012036

Queuing that occurs due to service delays caused by the server is a result of server interference. One of the server interruptions was called the vacation incident. This paper analyzes the queue caused by a lack of servers. To solve this problem, the Sojourn Time (W∗(θ)) distribution model is used at the time the service is distributed to just one server (M / G / I), with single working vacation and vacation interruption. This model is then used to look for models of old customers waiting in queuing (W), number of customers in the system (L), and opportunities for server busyness (ρ). The values of L, W, and ρ use secondary data for one server that has an arrival pattern that has Poisson distribution and service time exponentially distributed, then the values are substituted into the model (W∗(θ)). The results of the model analysis show that the server is not busy or does not need to add a server.