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Journal articles on the topic 'Queuing analysis'

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1

Huntsinger, Leta F., and Nagui M. Rouphail. "Bottleneck and Queuing Analysis." Transportation Research Record: Journal of the Transportation Research Board 2255, no. 1 (2011): 117–24. http://dx.doi.org/10.3141/2255-13.

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2

Lokshina, Izabella V., and Cees J. M. Lanting. "Analysis of Queueing Networks in Equilibrium." International Journal of Interdisciplinary Telecommunications and Networking 12, no. 4 (2020): 1–17. http://dx.doi.org/10.4018/ijitn.2020100101.

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Equilibria of queueing networks are a means for performance analysis of real communication networks introduced as Markov chains. In this paper, the authors developed, evaluated, and compared computational procedures to obtain numerical solutions for queueing networks in equilibrium with the use of direct, iterative, and aggregative techniques in steady-state analysis of Markov chains. Advanced computational procedures are developed with the use of Gaussian elimination, power iteration, Courtois' decomposition, and Takahashi's iteration techniques. Numerical examples are provided together with
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Takagi, Hideaki. "Queuing analysis of polling models." ACM Computing Surveys 20, no. 1 (1988): 5–28. http://dx.doi.org/10.1145/62058.62059.

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Li, Yang, Lanya Ma, Yuanbiao Zhang, and Weijie Yang. "Stability Analysis and Optimization of Airport Security System." Engineering Management Research 6, no. 1 (2017): 56. http://dx.doi.org/10.5539/emr.v6n1p56.

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In this paper, we have established a composite queuing network model on the basis of the queuing theory and combining with the current security system of the airport. We have made division of the whole security system into different processes which include ID check process, x-ray scanning process, and millimeter scanning process, and find out the unit of security system according to the proportion of different security lanes, what’s more, these processes were distinguished into different kinds of queuing system, and then, we established the queuing network using these different queuing model i
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Herawati, Herawati, and Mutharuddin Mutharuddin. "Analisa Kemacetan Lalu Lintas Pada Ruas Jalan Dengan Deterministic Queuing Analysis." Warta Penelitian Perhubungan 22, no. 11 (2010): 1198–215. http://dx.doi.org/10.25104/warlit.v22i11.1155.

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One of the phenomena of transportation problem currentl.y is the congestion which cxrurs at highwaybottlenecks. Congestion is detennined btJ the low capacity at the bottleneck point compared to theentrance rood segment before the bottleneck. This capacity reduction can be inft~d by the decrease inthe number of traffic lanes, the reduced width of rood shoulders and traffic signs.Location of the study is on a signaHzed intersection (MT Haryano Street) and unsignalized intersection(Cilincing Street). Traffic congestion Analysis is caused bi; the bottleneck based on the principle dinamictraffic wi
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Handoko, Handoko, and Septiana Widi Astuti. "Queue Analysis at Yogyakarta Tugu Station." Jurnal Perkeretaapian Indonesia 1, no. 2 (2017): 105–15. http://dx.doi.org/10.37367/jpi.v1i2.37.

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Queue is a common situation that is common in everyday life where consumers wait in front of the counter to get a turn of service or service facilities. The study aims to determine the performance of the queuing system at the train ticket counter at Yogyakarta Tugu Station. This research is an action research. The population in this study are all customers who come to Yogyakarta Tugu Railway Station to purchase train tickets. Sampling using accidental sampling technique. Data collection techniques used are the method of observation and documentation. Data analysis techniques used queuing formu
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Zhang, Ying, Rui Song, and Na Hao. "Analysis of Passenger Queuing Behavior on Urban Rail Transit Platform during Rush Hour." Applied Mechanics and Materials 361-363 (August 2013): 1927–32. http://dx.doi.org/10.4028/www.scientific.net/amm.361-363.1927.

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Analyzing the passengers queuing behavior is powerful support of subway operation efficiency developing. Based on the three level pedestrian micro behavior theory, the decision process of passenger queuing behavior on urban rail transit platform is analyzed. The frame of passenger queuing behavior survey is put forward. The survey plan is designed. Finally, the quantitative analysis is performed which is on passengers queue selection, the time during the waiting and boarding stage.
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Vikaliana, Resista. "ANALYSIS OF COMMUTER LINE TICKET PURCHASE QUEUING SYSTEM IN BOGOR STATION." Management Journal of Binaniaga 2, no. 02 (2017): 35. http://dx.doi.org/10.33062/mjb.v2i02.141.

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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
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Bai, Wei-Hua, Jian-Qing Xi, Jia-Xian Zhu, and Shao-Wei Huang. "Performance Analysis of Heterogeneous Data Centers in Cloud Computing Using a Complex Queuing Model." Mathematical Problems in Engineering 2015 (2015): 1–15. http://dx.doi.org/10.1155/2015/980945.

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Performance evaluation of modern cloud data centers has attracted considerable research attention among both cloud providers and cloud customers. In this paper, we investigate the heterogeneity of modern data centers and the service process used in these heterogeneous data centers. Using queuing theory, we construct a complex queuing model composed of two concatenated queuing systems and present this as an analytical model for evaluating the performance of heterogeneous data centers. Based on this complex queuing model, we analyze the mean response time, the mean waiting time, and other import
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Kalashnikov, V., and V. Sedunov. "Sensitivity analysis of regenerative queuing models." Queueing Systems 19, no. 3 (1995): 247–68. http://dx.doi.org/10.1007/bf01150412.

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11

Su, Jack C. P., Wilson Wang, and Weimin Chow. "Queuing analysis of delayed differentiation system." Journal of Industrial and Production Engineering 38, no. 5 (2021): 384–94. http://dx.doi.org/10.1080/21681015.2021.1925756.

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12

Fazlollahtabar, Hamed, and Hadi Gholizadeh. "Application of queuing theory in quality control of multi-stage flexible flow shop." Yugoslav Journal of Operations Research 30, no. 1 (2020): 101–19. http://dx.doi.org/10.2298/yjor181115023f.

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In this paper, we carry out queuing analysis to examine and integrate a quality control (inspection) process into a multi-stage flexible ow shop configured in an M=M=1 queue system. Our main concern is to improve the performance of multi-stage exible ow shop production. Besides, this work aims to help managers in improving their effeciency and effectiveness, and in selecting a joint inspection, being the most suitable policy for minimizing inspection and queueing related costs. We adopt an analytical approach based on real-life data from a Kach company that produces disposable appliances. Queu
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ZHU, LIANG, PAUL SCHONFELD, YEON MYUNG KIM, IAN FLOOD, and CHING-JUNG TING. "Queuing network analysis for waterways with artificial neural networks." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 13, no. 5 (1999): 365–75. http://dx.doi.org/10.1017/s0890060499135017.

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An Artificial Neural Network (ANN) model has been developed for analyzing traffic in an inland waterway network. The main purpose of this paper is to determine how well such a relatively fast model for analyzing a queuing network could substitute for far more expensive simulation. Its substitutability for simulation is judged by relative discrepancies in predicting tow delays between the ANN and simulation models. This model is developed by integrating five distinct ANN submodels that predict tow headway variances at (1) merge points, (2) branching (i.e., diverging) points, (3) lock exits, and
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Stankevich, Elena P., Igor E. Tananko, and Vitalii I. Dolgov. "Analysis of Closed Queueing Networks with Batch Service." Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 20, no. 4 (2020): 527–33. http://dx.doi.org/10.18500/1816-9791-2020-20-4-527-533.

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We consider a closed queuing network with batch service and movements of customers in continuous time. Each node in the queueing network is an infinite capacity single server queueing system under a RANDOM discipline. Customers move among the nodes following a routing matrix. Customers are served in batches of a fixed size. If a number of customers in a node is less than the size, the server of the system is idle until the required number of customers arrive at the node. An arriving at a node customer is placed in the queue if the server is busy. The batсh service time is exponentially distrib
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Tarasov, Veniamin N., and Nadezhda F. Bakhareva. "Spectral expansion method for analysis of a system with shifted Erlang and hyper-Erlang distributions." Physics of Wave Processes and Radio Systems 24, no. 2 (2021): 55–61. http://dx.doi.org/10.18469/1810-3189.2021.24.2.55-61.

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In this paper, we obtained a spectral expansion of the solution to the Lindley integral equation for a queuing system with a shifted Erlang input flow of customers and a hyper-Erlang distribution of the service time. On its basis, a calculation formula is derived for the average waiting time in the queue for this system in a closed form. As you know, all other characteristics of the queuing system are derivatives of the average waiting time. The resulting calculation formula complements and expands the well-known unfinished formula for the average waiting time in queue in queuing theory for G/
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16

Majhi, Santosh Kumar, Shankho Subhra Pal, Shweta Bhuyan, and Sunil Kumar Dhal. "Queuing Analysis of Cloud Load Balancing Algorithms." International Journal of Knowledge-Based Organizations 8, no. 1 (2018): 50–67. http://dx.doi.org/10.4018/ijkbo.2018010104.

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The emergence of cloud-computing and the apparent shift to this new paradigm has led to the creation of data centres that consist of hundreds of thousands of servers. The Cloud is a distributed system that helps share data and provides resources to the users. The data and the distributed resources are stored in the open environment. This paper presents a model of cloud load balancing using queuing and probability theory. A queuing cloud model is discussed with load balancing perspective. We present analysis for two servers and then extended it to n server. In addition, an optimal strategy is m
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17

Gupta, Renu, and Deepak Gupta. "Analysis of Steady State Behaviour of Biserial and Parallel Queue Network Model with Batch Arrival." Journal of Computational and Theoretical Nanoscience 17, no. 11 (2020): 5032–36. http://dx.doi.org/10.1166/jctn.2020.9337.

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The primary objective of the paper is to analyse a network queue model with two queuing subsystems commonly allied to a single server. The first queue subsystem consists of two biserial servers while the other subsystem consists of three non serial parallel servers. At biserial queueing subsystem, the customers arrive in batches of fixed size from outside the system and individual arrival takes place at parallel subsystem. The input process is poisson and the service time distribution is exponential. Time independent solution and various queue characteristics have been calculated using generat
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18

Sulaksono Wibowo, Sony, and Siti Raudhatul Fadilah. "Queuing analysis using Viswalk for check-in counter: Case study of Lombok Praya International Airport." MATEC Web of Conferences 181 (2018): 02006. http://dx.doi.org/10.1051/matecconf/201818102006.

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Queuing analysis on check-in counter in airport is required to accommodate the passenger processing facilities, such as check-in service. The purpose of this paper is to evaluate the performance of a queuing system at check-in facilities in 2nd passenger terminal Lombok Praya International Airport in 2016 and 2036. This analysis is done by determining parameters of the queues at every check-in counter through simulations on Viswalk. Before running the simulation, the model of airport terminal must be created first. Queuing simulation starts with the traffic demand forecasting of domestic depar
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19

Sopin, Eduard, and Konstantin Samouylov. "Analysis of the Limited Resources Queuing System with Signals and Multiple Flows of Customers." ITM Web of Conferences 24 (2019): 01007. http://dx.doi.org/10.1051/itmconf/20192401007.

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In the paper, a wireless network is modelled in terms of multiserver queuing system with limited resources, random resource requirements and signals that trigger resource reallocation procedure. For the queuing system, we derive the set of balance equations and propose the solution method. Moreover, the formulas for main performance measures are obtained.
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20

Purnomo, Bambang Herry, Bertung Suryadharma, and Nurma Yunita Ekasari. "MODEL SISTEM ANTRIAN PADA PELAYANAN RESTORAN CEPAT SAJI (Studi Kasus di KFC Gajah Mada Kabupaten Jember)." JURNAL AGROTEKNOLOGI 15, no. 01 (2021): 40. http://dx.doi.org/10.19184/j-agt.v15i01.19929.

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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, an
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21

Zhang, Haibo, Xiaoming Liu, Honghai Ji, Zhongsheng Hou, and Lingling Fan. "Multi-Agent-Based Data-Driven Distributed Adaptive Cooperative Control in Urban Traffic Signal Timing." Energies 12, no. 7 (2019): 1402. http://dx.doi.org/10.3390/en12071402.

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Data-driven intelligent transportation systems (D2ITSs) have drawn significant attention lately. This work investigates a novel multi-agent-based data-driven distributed adaptive cooperative control (MA-DD-DACC) method for multi-direction queuing strength balance with changeable cycle in urban traffic signal timing. Compared with the conventional signal control strategies, the proposed MA-DD-DACC method combined with an online parameter learning law can be applied for traffic signal control in a distributed manner by merely utilizing the collected I/O traffic queueing length data and network t
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22

Sharma, Sapana, Rakesh Kumar, and Sherif Ibrahim Ammar. "Transient and steady-state analysis of a queuing system having customers’ impatience with threshold." RAIRO - Operations Research 53, no. 5 (2019): 1861–76. http://dx.doi.org/10.1051/ro/2018106.

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In many practical queuing situations reneging and balking can only occur if the number of customers in the system is greater than a certain threshold value. Therefore, in this paper we study a single server Markovian queuing model having customers’ impatience (balking and reneging) with threshold, and retention of reneging customers. The transient analysis of the model is performed by using probability generating function technique. The expressions for the mean and variance of the number of customers in the system are obtained and a numerical example is also provided. Further the steady-state
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23

Melikov, Agasi Zarbali ogly, Leonid A. Ponomarenko, and Balami Gasym ogly Ismailov. "Analysis of Queuing System with Dynamic Priorities." Journal of Automation and Information Sciences 47, no. 9 (2015): 23–33. http://dx.doi.org/10.1615/jautomatinfscien.v47.i9.30.

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24

Agrawal, Sachin Kumar, and B. K. Singh. "Development and Analysis of Generalized Queuing Model." International Journal of Computer Sciences and Engineering 6, no. 11 (2018): 15–32. http://dx.doi.org/10.26438/ijcse/v6i11.1532.

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Sameer, Syed Shujauddin. "Simulation : Analysis of Single Server Queuing Model." International Journal on Information Theory 3, no. 3 (2014): 47–54. http://dx.doi.org/10.5121/ijit.2014.3305.

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26

Enns, S. T. "Work flow analysis using queuing decomposition models." Computers & Industrial Engineering 34, no. 2 (1998): 371–83. http://dx.doi.org/10.1016/s0360-8352(97)00277-5.

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Ahn, Hyun-Soo, and Mark E. Lewis. "ANALYSIS, EVALUATION, AND MANAGEMENT OF QUEUING SYSTEMS." Probability in the Engineering and Informational Sciences 23, no. 2 (2009): 173–74. http://dx.doi.org/10.1017/s0269964809000126.

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28

Chow, Joseph Y. J. "On Observable Chaotic Maps for Queuing Analysis." Transportation Research Record: Journal of the Transportation Research Board 2390, no. 1 (2013): 138–47. http://dx.doi.org/10.3141/2390-15.

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29

Kryvinska, Natalia. "Intelligent Network Analysis by Closed Queuing Models." Telecommunication Systems 27, no. 1 (2004): 85–98. http://dx.doi.org/10.1023/b:tels.0000032945.92937.8f.

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30

Lambert, Carolyn U., and Thomas P. Cullen. "Balancing Service and Costs through Queuing Analysis." Cornell Hotel and Restaurant Administration Quarterly 28, no. 2 (1987): 68–72. http://dx.doi.org/10.1177/001088048702800221.

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31

Bhattacharyya, Debnath, N. Thirupathi Rao, Pilla Srinivas, and Jason Levy. "Analysis of Queuing Applications Performance using MatLab." International Journal of Advanced Science and Technology 127 (June 30, 2019): 1–12. http://dx.doi.org/10.33832/ijast.2019.127.01.

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32

Singh, Gurcharan, Baljodh Singh, and Neelam Kumari. "ANALYSIS OF FUZZY QUEUES BY USING PENTAGONAL FUZZY NUMBER." Journal of University of Shanghai for Science and Technology 23, no. 04 (2021): 211–24. http://dx.doi.org/10.51201/jusst/21/04233.

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This paper deals with the fact thatpentagonal fuzzy numbers are pre-owned and systematic outcomes are discussed in real-life situations. The fuzzy set supposition is combined with well-established classical queuing theory but the classical queuing theory is far away from real-life situations. In this approach, we can use both fuzzy and probability theory to make this work more realistic with the help of the α-cut technique. Symmetric pentagonal fuzzy numbers are used to elaborate on the situation of the queue in linguistic terms.
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Siddiqui, Shadab, Manuj Darbari, and Diwakar Yagyasen. "An QPSL Queuing Model for Load Balancing in Cloud Computing." International Journal of e-Collaboration 16, no. 3 (2020): 33–48. http://dx.doi.org/10.4018/ijec.2020070103.

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Load balancing is the process of distributing a workload among various servers. Queuing is the most common scenario for day-to-day applications. Queuing theory is used to study the problem of waiting lines. Queuing theory bridges the gap between service demands and the delay in replies given to users. The proposed QPSL Queuing Model makes use of M/M/k queue with FIFO queue discipline for load balancing in cloud computing. The model makes use of exponential distribution for calculating service rates and Poisson distribution for calculating waiting lines. The proposed QPSL queuing model is also
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Naumov, Valeriy A., Yuliya V. Gaidamaka, and Konstantin E. Samouylov. "Computing the Stationary Distribution of Queueing Systems with Random Resource Requirements via Fast Fourier Transform." Mathematics 8, no. 5 (2020): 772. http://dx.doi.org/10.3390/math8050772.

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Queueing systems with random resource requirements, in which an arriving customer, in addition to a server, demands a random amount of resources from a shared resource pool, have proved useful to analyze wireless communication networks. The stationary distributions of such queuing systems are expressed in terms of truncated convolution powers of the cumulative distribution function of the resource requirements. Discretization of the cumulative distribution function and the application of the fast Fourier transform are a traditional way of calculating convolutions. We suggest finding truncated
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Tsai, Chen Nien, Kai Wei Ke, and Ho Ting Wu. "Approximate Packet Delay Analysis for IEEE 802.16 Networks." Advanced Materials Research 433-440 (January 2012): 5063–67. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.5063.

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Supporting QoS is one of notable features in IEEE 802.16 networks. In this study, we used the queuing-theoretic approach to model the uplink air interface of IEEE 802.16 networks as M/Db/1 queues. The justification for this modeling argument was given in the paper. The average queuing delay and system delay were derived with embedded Markov chain technique. We also pointed out that the created Markov chain exhibits geometric tail behavior so that the Markov chain can be solved more efficient. The analytical results were verified through computer simulations. The derived results would be supporting
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Tan, Rong Hua. "The Application of Computer Simulation Technology in the Queuing System Optimization." Applied Mechanics and Materials 556-562 (May 2014): 3849–51. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.3849.

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The optimization Problem of queuing system is an important research subject in the queuing system.There are two ways to solve this problem:one is the traditional theoretical analysis, the other is the application of computer simulation. This thesis introduces the queuing theory and the simulation technique of discrete event system, including fundamental conceptions, methods, performance index and classical model of queuing system, as well as the definition of simulation and the procedure of the simulation of discrete event system. And procedure and parameters set of general modeling methods ar
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Sugito, Alan Prahutama, Dwi Ispriyanti, and Mustafid. "Analysis of queue change of visitors and performace system in the Department of Population and Civil Regristation of Semarang City." E3S Web of Conferences 202 (2020): 15005. http://dx.doi.org/10.1051/e3sconf/202020215005.

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The Population and Civil Registry Office in Semarang city is one of the public service units. In the public service sector, visitor / customer satisfaction is very important. It can be identified by the length of the queue, the longer visitors queue this results in visitor dissatisfaction with the service. Queue analysis is one of the methods in statistics to determine the distribution of queuing systems that occur within a system. In this study, a queuing analysis as divided into two periods. The first period lasts from 2-13 March 2015, while the second period lasts November 16th to December
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Ritha, W., and S. Josephine Vinnarasi. "ANALYSIS OF PRIORITY QUEUES WITH PENTAGON FUZZY NUMBER." International Journal of Engineering Technologies and Management Research 5, no. 4 (2020): 90–100. http://dx.doi.org/10.29121/ijetmr.v5.i4.2018.213.

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Fuzziness is a sort of recent incoherence. Fuzzy set theory is asserted to depict vagueness. This study explores the queuing model of priority classes adopting pentagon fuzzy number with the inclusions of fuzzy set operations. A mathematical programming method is designed to establish the membership function of the system performance, in which the arrival rate and service rate of the system performance of two priority classes are utilized as fuzzy numbers. Based on  -cut approach and Zadeh’s extension principle, the fuzzy queues are scaled down to a family of ordinary queues. The potency of t
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Zhang, Ao, Xiaomin Zhu, Qian Lu, and Runtong Zhang. "Impact of Prioritization on the Outpatient Queuing System in the Emergency Department with Limited Medical Resources." Symmetry 11, no. 6 (2019): 796. http://dx.doi.org/10.3390/sym11060796.

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The emergency department has an irreplaceable role in the hospital service system because of the characteristics of its emergency services. In this paper, a new patient queuing model with priority weight is proposed to optimize the management of emergency department services. Compared with classical queuing rules, the proposed model takes into consideration the key factors of service and the first-come-first-served queuing rule in emergency services. According to some related queuing indicators, the optimization of emergency services is discussed. Finally, a case study and some compared analys
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Khoiriyah, Rizqiyatul. "PENINGKATAN LAYANAN POSPAY DENGAN TEKNOLOGI BUSINESS PROCESS ANALYSIS (BPA) PADA PT. POS INDONESIA AREA KOTA MALANG." Jurnal Pendidikan Teknologi Informasi (JUKANTI) 4, no. 1 (2021): 10–16. http://dx.doi.org/10.37792/jukanti.v4i1.230.

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PT. Pos Indonesia has a postal payment service (postpay) or System Online Payment Point (SOPP). Postpay services that are already running must be continuously improved so that they can develop properly. This makes it important to analyze the business processes that run on the postpay service at PT. Pos Indonesia Malang City Area so that later it can be known and identified opportunities for better business process improvement. The purpose of this study is to analyze the business processes that run on payment services (postpay) and identify opportunities to improve the payment service business
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Chen, Xuan, Yu Bin Xu, and Lin Ma. "A Queuing Model for IEEE 802.11 DCF Performance Analysis." Applied Mechanics and Materials 380-384 (August 2013): 1202–9. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.1202.

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A queuing model is proposed to analyze the performance of IEEE 802.11 Distributed Coordination Function (DCF). By regarding the network performance in the unsaturated case as the expected mean of the network performance in the different saturated cases, the proposed model extends the application scenarios from the saturated case to the nonsaturated case. The queuing model can be used to analyze the network performance and QoS parameters of the stations for different traffic conditions. In addition, this model also applies to the cases in shadow channels. Compared to the existing work based on
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Alam, Nur. "INTEGRATION OF MOBILE BASED QUEUING SYSTEMS." Journal of Information Technology and Its Utilization 1, no. 2 (2018): 54. http://dx.doi.org/10.30818/jitu.1.2.1880.

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The amount of time and energy that is wasted if people queue for public services is a serious problem. More ever if that queuing done by busy or sick people. Because of busyness, a person sometimes has to complete several matters at different places in short period of time. Therefore we need a queuing system that is able to integrate all queuing services so that the public can do all queuing processes with more comfort without having to cram into a queue. In addition, by integrating all community queuing services can get services in several places just by registering through one application. T
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Song, Na, and Zhi Qin Shang. "The Analysis of ATM Queuing Phenomenon on Campus." Applied Mechanics and Materials 155-156 (February 2012): 1117–21. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.1117.

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The article focused on the study of the ATM of Industrial and Commercial Bank in Qinhuangdao. To achieve the purposes of improving customers’ satisfaction and optimizing the allocation of resources, the article calculated some major quantity index including average queue length and waiting queue length, average waiting time and sojourn time as well as utilization rate of the system, analyzed ATM working efficiency of queuing system and gave some suggestions for improvement.
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et al., Bishop. "Mathematical analysis of the queuing system and application." International Journal of ADVANCED AND APPLIED SCIENCES 6, no. 5 (2019): 67–69. http://dx.doi.org/10.21833/ijaas.2019.05.011.

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Atkinson, Ben, H. T. Papadopoulos, C. Heavey, and J. Browne. "Queuing Theory in Manufacturing Systems Analysis and Design." Journal of the Operational Research Society 46, no. 1 (1995): 137. http://dx.doi.org/10.2307/2583848.

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Ďutková, Silvia, Dominika Hoštáková, Stanislava Turská, Jana Kurotová, and Paweł Droźdiel. "Cost Analysis of Queuing System of Postal Office." Transport and Communications 7, no. 1 (2019): 10–13. http://dx.doi.org/10.26552/tac.c.2019.1.3.

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Abstract:
The paper displays cost analysis of queuing system of particular post office. The selected Post Office is Zilina 1 Post Office in Slovakia. Post office Zilina 1 provides service to almost 4 000 companies and 13 559 households. [1] This paper considers two types of costs. There are costs of services which are associated with increasing or decreasing system capacity. Additional costs are the costs of rejected customers which are costs associated with deciding customers to leave the post office. Aim of this article to indicate the methodology of costs allocation of queuing system of post office a
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Buranova, M. A., V. G. Kartashevskiy, N. V. Kireeva, and L. R. Chupahina. "Analysis of general queuing system by selection functions." Infokommunikacionnye tehnologii 14, no. 4 (2016): 366–72. http://dx.doi.org/10.18469/ikt.2016.14.4.03.

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CUI, Yi-dong, Zhi-qing XIAO, Xiao-yue WANG, and Bao-xing YANG. "Bluetooth energy-saving optimization: a queuing theory analysis." Journal of China Universities of Posts and Telecommunications 17 (July 2010): 54–57. http://dx.doi.org/10.1016/s1005-8885(09)60607-5.

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49

Atkinson, Ben. "Queuing Theory in Manufacturing Systems Analysis and Design." Journal of the Operational Research Society 46, no. 1 (1995): 137–38. http://dx.doi.org/10.1057/jors.1995.19.

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Pattipati, K. R., M. M. Kostreva, and J. L. Teele. "Approximate mean value analysis algorithms for queuing networks." Journal of the ACM 37, no. 3 (1990): 643–73. http://dx.doi.org/10.1145/79147.214074.

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