Estimation of the Large Deviations Parameter for a Single-Channel Queuing System with Regenerative Input Flow

Queuing model has been discussed widely in literature. The structures of queuing systems are broadly divided into three namely; single, multi-channel, and mixed. Equations for solving these queuing problems vary in complexity. The most complex of them is the multi-channel queuing problem. A heuristically simplified equation based on relative comparison, using proportionality principle, of the measured effectiveness from the single and multi-channel models seems promising in solving this complex problem. In this study, six different queuing models were used from which five of them are single-channel systems while the balance is multi-channel. Equations for solving these models were identified based on their properties. Queuing models’ performance parameters were measured using relative proportionality principle from which complexity of multi-channel system was transformed to a simple linear relation of the form = . This showed that the performance obtained from single channel model has a linear relationship with corresponding to multi-channel, and is a factor which varies with the structure of queuing system. The model was tested with practical data collected on the arrival and departure of customers from a cocoa processing factory. The performances obtained based on average number of customers on line , average number of customers in the system , average waiting time in line and average waiting time in the system, under certain conditions showed no significant difference between using heuristics and analytical models.

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Simulation of a Queuing System of a Post Office in Anylogic Software

Communications - Scientific letters of the University of Zilina ◽

10.26552/com.c.2020.2.15-22 ◽

2020 ◽

Vol 22 (2) ◽

pp. 15-22

Author(s):

Silvia Dutkova ◽

Karol Achimsky ◽

Pawel Drozdziel

Keyword(s):

Probability Distribution ◽

Service Time ◽

Simulation Software ◽

Queuing System ◽

System Model ◽

Cost Calculation ◽

Post Office ◽

Input Flow ◽

Starting Point ◽

Exponential Probability

This paper displays the design and application of a model that simulates the queuing system of a fictional post office. Starting point for solving more complicated optimization tasks is to create a system model that consists of elements of reality and the relationships between these elements. The key part of the paper includes the model of a queuing system of a post office created in Anylogic simulation software. The model of the post office displays post office with 5 postal counters, a certain input flow and a certain service time with an exponential probability distribution. The model also includes statistics and cost calculation.

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Stationary Distribution in the One Server Queuing System $$M|M|1|\infty $$ with the Stopping Intensity of the Input Flow

Artificial Intelligence in Intelligent Systems - Lecture Notes in Networks and Systems ◽

10.1007/978-3-030-77445-5_41 ◽

2021 ◽

pp. 444-449

Author(s):

Gurami Tsitsiashvili

Keyword(s):

Stationary Distribution ◽

Queuing System ◽

Input Flow ◽

The One

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ANALISIS PERBANDINGAN SISTEM ANTRIAN MODEL M/M/1 DAN M/M/S UNTUK PELAYANAN PBB DI DPKAD KABUPATEN PURWAKARTA

Eqien: Jurnal Ekonomi dan Bisnis ◽

10.34308/eqien.v3i2.25 ◽

2018 ◽

Vol 3 (2) ◽

pp. 19-30

Author(s):

Edi Susanto ◽

Fidianti SE

Keyword(s):

Queue Length ◽

Busy Period ◽

Single Channel ◽

Optimal Number ◽

Queuing System ◽

Average Amount ◽

Channel System ◽

Time Service ◽

Multiple Channel ◽

Query System

Research on the comparative analysis of single channel queuing system and multiple channel query system with 2 fasilties and 3 facilities. This study aims to investigate how the optimal number of facilities due to the large queues waiting for their turn receive services especially Pajak Bumi dan Bangunan in the Office of Dinas Pengelola Keuangan dan Aset Daerah Kabupaten Purwakarta.The analytical method used is the model M / M / 1 for single channel system query and M / M / S is used for multiple channel query system. based on the results of the analysis using the model found that the results of a query using a single channel system services Pajak Bumi dan Bangunan certainly not optimal due to the ability of the service itself 12 people per hour. On the other side using the model M / M / S found the average amount of time service during rush hour period 10:00 to 11:00 of 0:15 hours or can be 9 minute and an average queue length 1.0667. In contrast to the number 3 facility, the taxpayer at a busy period 10:00 to 11:00 can wait with a difference of only 0.0923 hours or 5:54 minutes and the number of queues waiting with an average of 0.1446.Suggestion research obtained in order to use the three facilities while maintaining the service with optimal. So that all service activities will not be interrupted and did not make the queue longer taxpayer.Keyword : Queue, single channel queuing system and multiple channel query system, services, tax payer

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ANALYSIS OF COMMUTER LINE TICKET PURCHASE QUEUING SYSTEM IN BOGOR STATION

The Management Journal of Binaniaga ◽

10.33062/mjb.v2i02.141 ◽

2017 ◽

Vol 2 (02) ◽

pp. 35

Author(s):

Resista Vikaliana

Keyword(s):

Queuing Theory ◽

Service Use ◽

Single Channel ◽

Performance Measure ◽

Queuing System ◽

Queuing Model ◽

The One ◽

Multi Phase ◽

Ticket Purchase ◽

First In First Out

Queue is a situation that happen to people, goods, and components that need to wait to get a service. The good quality of service will satisfy the customers and decrease the queue line. Queue often happens in a station especially in weekdays. A long queue line happens in the station is one of the problems that need to be solved. Instead of manual ticket purchasing that served by the operator, today PT KAI Commuter Line also serve ticket purchasing using THB machine. The purpose of this study is to compare the performance of queuing model that happen in Bogor station locket and to determine if the queuing model is efficient by comparing the service standard, between the manual and the one that used THB machine. The method used in this research was descriptive method by using queuing theory calculation. The model of locket queuing using THB machine in Bogor Station is Multi Channel-Multi Phase, in ticket purchasing using THB machine. Besides, in the operator locket service, the queuing model is Single Channel-Single Phase. Both s ticket purchasing service use First In First Out (FIFO) disciple. The maximum amount of the queue line and the source of customers’ arrival are infinite. Based on the value of system performance can be concluded that queuing system and the service given already great and effective (based on the performance measure and probability or passengers’’ chances), passengers who are waiting to buy tickets, either manual or using machine less than 1, or assumed 1 person. From the observation, the use of THB machine decrease the queue line, but need to be socialized because passengers does not know how to use THB machine to buy ticket independently.Keywords: queue, queuing model, commuter line ticket purchasing, Bogor station

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