scholarly journals ANALYSIS OF COMMUTER LINE TICKET PURCHASE QUEUING SYSTEM IN BOGOR STATION

2017 ◽  
Vol 2 (02) ◽  
pp. 35
Author(s):  
Resista Vikaliana

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

Queuing Theory provides the system of applications in many sectors in life cycle. Queuing Structure and basic components determination is computed in queuing model simulation process. Distributions in Queuing Model can be extracted in quantitative analysis approach. Differences in Queuing Model Queue discipline, Single and Multiple service station with finite and infinite population is described in Quantitative analysis process. Basic expansions of probability density function, Expected waiting time in queue, Expected length of Queue, Expected size of system, probability of server being busy, and probability of system being empty conditions can be evaluated in this quantitative analysis approach. Probability of waiting ‘t’ minutes or more in queue and Expected number of customer served per busy period, Expected waiting time in System are also computed during the Analysis method. Single channel model with infinite population is used as most common case of queuing problems which involves the single channel or single server waiting line. Single Server model with finite population in test statistics provides the Relationships used in various applications like Expected time a customer spends in the system, Expected waiting time of a customer in the queue, Probability that there are n customers in the system objective case, Expected number of customers in the system


2011 ◽  
Vol 367 ◽  
pp. 647-652
Author(s):  
B. Kareem ◽  
A. A. Aderoba

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.


2017 ◽  
Vol 13 (4-1) ◽  
pp. 412-415
Author(s):  
Ahmad Ridhuan Hamdan ◽  
Ruzana Ishak ◽  
Mohd Fais Usop

Queuing Theory is a branch of knowledge in operation research that concerning the analysis of queues when a customer arrives at a service centre and shall queue in a line to get some service. The theory pays attention to how organizations can serve a large number of customers who demand a quality services and a queue of customers waiting to be served. Eventually, the store owners have to attend to large numbers of customers at a time have attempted to measure and manage queues to reduce the customer procession time. Besides, to increase sales and profit, productivity and operation efficiency, satisfaction levels and customer loyalty in using the service provided. In line to the situation, this study is to determine the effectiveness of the waiting line using Queuing Theory at cooperative-mart. Until today, no research conducted about school cooperatives-mart to observe and solve the massive inflow of customers at lines at a given time especially during lunch hour. The purposes of this study are to determine the customer congestion at the payment counter and to propose the effective queuing system at Cooperative-mart. Waiting and services times of customers at cooperative-mart is studied in three times period that to be considered as peak hours in two types of counter which are for male and female.  Data collection was observed by using queuing theory and the M/M/1/∞/∞ queuing model has been implemented.  The results show that for optimum service level, the counter must be changed from one to two counters each side.  The summary and finding of the study shall be used as guideline for the management of cooperative-mart in deciding improvement of its operation. 


2021 ◽  
Vol 15 (01) ◽  
pp. 40
Author(s):  
Bambang Herry Purnomo ◽  
Bertung Suryadharma ◽  
Nurma Yunita Ekasari

KFC is one of the fast food restaurants in the Jember Regency which is never deserted of visitors, especially that on Gajah Mada Street. The purposes of this study were to determine the characteristics of the queuing system, analyze the queuing applied at KFC, formulate recommendations for improving the queuing system to reduce queuing, and minimize costs. The Data analysis was performed to compare manual calculations and simulation methods using ARENA 14.0. The characteristics of the current queue at KFC are random and unlimited arrival patterns, FIFO (first in first out) queue discipline, and the design of the single phase multi channel queuing system. The queuing distribution used for arrival and service time was the exponential distribution. The queuing model notation at the M/M/2 cashier: FIFO/∞/∞. The recommended queuing model that can be applied was to add 1 cashier to 3 cashiers at a cost of Rp 150,560 from the scenario made. The performance variable in the scenario becomes less than the initial condition, which was ρ cashier becomes 188%, total Wq about 0.92 minutes, and Lq about 2 people. Adding these facilities changes the queuing model notation to (M/M/3: FIFO/∞/∞). Keywords: ARENA, FIFO queuing discipline KFC Jember, queuing system


2020 ◽  
Vol 2 (2) ◽  
pp. 164
Author(s):  
R. Rasmini ◽  
Hisyam Ihsan ◽  
Maya Sari Wahyuni

Pada umumnya antrian yang cukup panjang dapat menimbulkan ketidaknyamanan para pengunjung. Oleh karena itu efesiensi waktu pelayanan merupakan hal yang menarik untuk dikaji. Permasalahan yang dikaji adalah mengenai sistem antrian pelayanan pembelian tiket di Bioskop 21 Mall Panakkukkang. Penelitian ini bertujuan untuk mengetahui model antrian yang diterapkan di Bioskop 21 Mall Panakkukkang. Dalam proses analisis dilakukan perhitungan secara manual dan menggunakan software Microsoft Visual Basic sebagai pembandingnya. Berdasarkan hasil analisis data yang diperoleh, struktur antrian yang diterapkan pada pelayanan pembelian tiket di Bioskop 21 Mall Panakkukkang adalah Singel Channel Single Phase. Model yang diterapkan adalah (M/M/1):(FCFS/∞/∞). Diambil data selama 3 hari dan diperoleh hasil perhitungan rata-rata antara lain:                Antrian pada penelitian ini dikatakan sudah optimal dikarenakan lama pelayanan setiap pengunjung pembelian tiket Bioskop telah memenuhi standar pelayanan. Sedangkan untuk antrian pengunjung yang akan mendapatkan pelayanan telah optimal. Hal ini dikarenakan lama waktu  menunggu dan lama waktu pelayanan pada loket terbilang singkat. Sehingga tidak perlu dilakukan penambahan ataupun pengurangan jumlah server pelayanan yang disediakan.Kata Kunci: Teori Antrian, Singel Channel Single Phase, Distribusi Poisson, Distribusi Eksponensial, Simulasi. The average number of long lines can cause  discomfort to visitors. Therefore the efficiency of the service time is an interesting thing to learn. The problem studied is about the queue system ticket purchase service at Cinema 21 Mall Panakkukkang. This study aims to determine the queue model applied in the Cinema 21 Mall Panakkukkang. In the process of analysis the calculation is done manualy and using Microsoft Visual Basic as a comparison. Based on the results of the analysis of the data obtained, the structure of the queue  applied to the ticket pusrchase service at Cinema 21 Mall Panakkukang is Singel Channel Single Phase. The model applied is the (M/M/1):(FCFS/∞/∞). Data taken for 3 days and the obtained results of the average calculation, among others                This queue on the study is said to be optimal due to the long service each visitor the purchase of a Cinema ticket has meet the service standards. While for the queue of visitors who will get the service has been optimal. This is because the long waiting time and long time service at the counter is fairly short. So no need to do addition or subtraction the number of service servers provided.Keywords: Queuing Theory, Single Channel Single Phase, Distribution Poisson, Distribution Exponential, Simulation.


2021 ◽  
Vol 15 (4) ◽  
pp. 719-726
Author(s):  
Ezra Putranda Setiawan ◽  
Heru Sukoco ◽  
Lusi Harini

Restrictions of the visitor on the tourism places is one of the mechanism of health protocol that carried out during the new normal era. This restriction become a dilemma since the manager of the tourism places want to maximize their profit by allowing all visitor, while the government still limiting the number of visitor to avoid crowding. Otherwise, real-time monitoring of the number of visitor somewhat difficult since they can come in and leave the tourism places at any time. In this study we implement the queuing theory to solve this problem. The visitor of the tourism places is modelled as the customer, while the time spent by them in the tourism places is modelled as the serving duration.  By estimating the average of time spent by the visitor and determine the average number of arrivals during the specified time, the number of visitor in the tourism place can be estimated as the number of people in the queuing system. As a preliminary study, this paper only focused on two queuing model, namely the M/M/1 and M/G/1. Further study is needed to develop the model and calibrate it using the data from a specified tourism place.


Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 182
Author(s):  
Fan-Qi Ma ◽  
Rui-Na Fan

In recent years, the use of consensus mechanism to maintain the security of blockchain system has become a considerable concern of the community. Delegated proof of stake (DPoS) and practical Byzantine fault tolerant (PBFT) consensus mechanisms are key technologies in maintaining the security of blockchain system. First, this study proposes a consensus mechanism combining DPoS and PBFT, which can rapidly deal with malicious witness nodes and shorten the time of block verification. Second, the M/PH/1 queuing model is used to analyze the performance of the proposed consensus mechanism, and the performance of the improved practical Byzantine fault tolerant consensus mechanism is evaluated from steady-state conditions and key performance measure of the system. Third, the current study uses the theoretical method of open (Jackson) queuing network, combined with the blockchain consensus process, and provides theoretical analysis with special cases. Lastly, this research utilizes numerical examples to verify the computability of the theoretical results. The analytic method is expected to open a series of potentially promising research in queueing theory of blockchain systems.


2021 ◽  
Vol 18 (2) ◽  
pp. 199-210
Author(s):  
W Tamara ◽  
Nurviana ◽  
Amelia

Proses antrian merupakan suatu prosesyang berhubungan dengan kedatangan pelanggan pada suatu fasilitas pelayanan, menunggu dalam baris antrian apabila belum mendapat pelayanan, dan akhirnya meninggalkan fasilitas pelayanan tersebut sesudah mendapatkan pelayanan. Mengantri merupakan salah satu fenomena yang sering terjadi dalam kehidupan sehari-hari dan sering kita temui dalam fasilitas-fasilitas pelayanan umum. Tingginya arus kedatangan nasabah pada waktu-waktu tertentu mengakibatkan antrian yang panjang dan lama sehingga nasabah bosan menunggu. Penelitian ini dilakukan pada Pegadaian Syariah Kantor Cabang Langsa. Adapun tujuan dari penelitian ini adalah untuk melihat rata-rata waktu pelayanan, untuk mengetahui kinerja sistem antrian, dan untuk menganalisis model antrian yang diterapkan. Model struktur antrian yang digunakan pada Pegadaian Syariah Kantor Cabang Langsa adalah Single Channel – Single Phase dan Single Channel – Multi Phase dengan karakteristik antrian First In First Out (FIFO). Untuk menentukan pemodelan antrian maka diperlukan data waktu kedatanagan dan waktu pelayanan pada Pegadaian Syariah Kantor Cabang Langsa. Pada hasil analisis, model yang diperoleh di Pegadaian Syariah Kantor Cabang Langsa adalah (M/G/1);(FIFO/∞/∞) dengan waktu terpanjang nasabah untuk menunggu dalam antrian (Wq) yaitu 5 Menit dan (M/G/2);(FIFO/∞/∞) waktu terpanjang nasabah untuk menunggu dalam antrian (Wq) yaitu 8 menit pada pelayanan pertama, 27 menit pada pelayanan kedua.


2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Siti Nurrohmah ◽  
Agustian Suseno ◽  
Billy Nugraha

Queue is the density or the number of customer waiting. However, the density of customers will also lead to the loss of potential customers. In this study, the aim of this research is to determine the queuing discipline applied by Mc Donald’s Galuh Mas Karawang and the characteristics of the queues needed to wait for the queue. Based on these problems, this study used is single channel-single phase model, where there is only one path for its service. The results showed that the queuing discipline used is First In First Out (FIFO) and the characteristics of the queue include average of 3 people queuing in the system, average queuing in the queue is 2 people, waiting time in system is 5.53 minutes, time expected by customers to wait in the queue is 4.183 minutes, with a server busy rate is 75,60% and a server unemployment rate is 24,40%.


Author(s):  
R. Rasmini ◽  
Hisyam Ihsan ◽  
Maya Sari Wahyuni

Pada umumnya antrian yang cukup panjang dapat menimbulkan ketidaknyamanan para pengunjung. Oleh karena itu efesiensi waktu pelayanan merupakan hal yang menarik untuk dikaji. Permasalahan yang dikaji adalah mengenai sistem antrian pelayanan pembelian tiket di Bioskop 21 Mall Panakkukkang. Penelitian ini bertujuan untuk mengetahui model antrian yang diterapkan di Bioskop 21 Mall Panakkukkang. Dalam proses analisis dilakukan perhitungan secara manual dan menggunakan software Microsoft Visual Basic sebagai pembandingnya. Berdasarkan hasil analisis data yang diperoleh, struktur antrian yang diterapkan pada pelayanan pembelian tiket di Bioskop 21 Mall Panakkukkang adalah Singel Channel Single Phase. Model yang diterapkan adalah (M/M/1):(FCFS/∞/∞). Diambil data selama 3 hari dan diperoleh hasil perhitungan rata-rata antara lain:                Antrian pada penelitian ini dikatakan sudah optimal dikarenakan lama pelayanan setiap pengunjung pembelian tiket Bioskop telah memenuhi standar pelayanan. Sedangkan untuk antrian pengunjung yang akan mendapatkan pelayanan telah optimal. Hal ini dikarenakan lama waktu  menunggu dan lama waktu pelayanan pada loket terbilang singkat. Sehingga tidak perlu dilakukan penambahan ataupun pengurangan jumlah server pelayanan yang disediakan.Kata Kunci: Teori Antrian, Singel Channel Single Phase, Distribusi Poisson, Distribusi Eksponensial, Simulasi. The average number of long lines can cause  discomfort to visitors. Therefore the efficiency of the service time is an interesting thing to learn. The problem studied is about the queue system ticket purchase service at Cinema 21 Mall Panakkukkang. This study aims to determine the queue model applied in the Cinema 21 Mall Panakkukkang. In the process of analysis the calculation is done manualy and using Microsoft Visual Basic as a comparison. Based on the results of the analysis of the data obtained, the structure of the queue  applied to the ticket pusrchase service at Cinema 21 Mall Panakkukang is Singel Channel Single Phase. The model applied is the (M/M/1):(FCFS/∞/∞). Data taken for 3 days and the obtained results of the average calculation, among others                This queue on the study is said to be optimal due to the long service each visitor the purchase of a Cinema ticket has meet the service standards. While for the queue of visitors who will get the service has been optimal. This is because the long waiting time and long time service at the counter is fairly short. So no need to do addition or subtraction the number of service servers provided.Keywords: Queuing Theory, Single Channel Single Phase, Distribution Poisson, Distribution Exponential, Simulation.


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