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Wang, Yulu. "Research on the Queuing Theory based on M/M/1 Queuing Model." Highlights in Science, Engineering and Technology 61 (July 30, 2023): 80–87. http://dx.doi.org/10.54097/hset.v61i.10276.
A collection of mathematical theories and models make up queueing theory. The theory, which is derived from several models, makes an effort to recreate numerous typical queue waiting models. The purpose of this study is to do research on the M/M/1 queuing model-based queueing theory. After a brief introduction to the queuing theory, the independent indexes and the dependent variables will be shown. This paper contains some fundamental queuing theory formulas, some of which are specifically derived for the M/M/1 queuing model. This study then presents a simulation of the M/M/1 queuing model. Since some results are attained, this paper revealed some probability distributions and distribution functions of several indexes. The data characteristics displayed by these figures are very consistent with the daily life situation, which also proved the rationality and M/M/1 queuing model's applicability. By investigating this queuing theory, people shall be able to understand, analyze, and predict the phenomenon of waiting in a line.
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Borodin, Allan, Jon Kleinberg, Prabhakar Raghavan, Madhu Sudan, and David P. Williamson. "Adversarial queuing theory." Journal of the ACM 48, no. 1 (January 2001): 13–38. http://dx.doi.org/10.1145/363647.363659.
A.Sridhar, H. Saddam Hussain,. "Economical Situation of the M/M/1/κ Markovian Queueing system with Encouraged Incoming and maintained of Reneged Customers." Tuijin Jishu/Journal of Propulsion Technology 44, no. 4 (October 16, 2023): 6042–48. http://dx.doi.org/10.52783/tjjpt.v44.i4.2036.
Today’s businesses all strive to operate smoothly and efficiently in order to meet customer demandand provide the best possible service because of the intense competition. The queuing theory is crucial in this situation. Queueing models can assist businesses in understanding their performance in advance, enabling themto plan effectively for providing seamless and effective customer service as well as long-term sustainability. Businesses entice customers to sign up for the system by offering promotions and discounts. Customers wait even longer in queue to receive services as a result of incentives like discounts.An analysis is conducted on a finite Markovian single-server queuing model with encouraged arrivals, reneging, and retention of reneged customers. Iterative derivation is used to reach the model's steady state solution. Additionally, the queueing model's performance metrics are gathered. As unique example of this model,several significant queuing models are derived. In order to develop a cost model, a model's economic analysis is presented, and a discussion of numerical representation is also included.Customers are added when they are welcomed, which changes the way theybehave in a queueing system.
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P, Divya. "Queuing Theory in Traffic Management System." International Journal for Research in Applied Science and Engineering Technology 9, no. 12 (December 31, 2021): 233–38. http://dx.doi.org/10.22214/ijraset.2021.39081.
Abstract: In cities where the number of vehicles has consistently expanded faster than the transportation infrastructure available to serve them. More on queuing theory and its crucial application has been discussed in the current study. In Thudiyalur, Gandhipuram, and Periyanaickenpalayam, all in Coimbatore, this research examines the usefulness of queuing theory in the field of traffic management. The concept of traffic intensity isapplied to a set of areas in queuing theory in this study. Keywords: Traffic intensity, Queuing theory, Single server Poisson model
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Min, Xu Guang, Tao Wan, Jun Fang, and Shan Liu. "Design of TVM Based on Parallel Virtual Queuing Theory." Advanced Materials Research 1030-1032 (September 2014): 2195–98. http://dx.doi.org/10.4028/www.scientific.net/amr.1030-1032.2195.
From what has been discussed above, the design of parallel virtual queuing, means that the passenger chooses the trains, the time, departures and terminals, seat types on TVM by blackening a ticket purchasing card. All the job off the TVM can be done by all the passengers all at once, which is equal to every passenger is being served at the counter (TVM), and thus the queuing time are greatly reduced in peak hours. Therefore, the queuing is equal to “Parallel Virtual Queuing”, and the equivalent queuing model is M/M/∞/∞/∞/FCFS.
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Ma, Fan-Qi, and Rui-Na Fan. "Queuing Theory of Improved Practical Byzantine Fault Tolerant Consensus." Mathematics 10, no. 2 (January 7, 2022): 182. http://dx.doi.org/10.3390/math10020182.
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.
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Hess, Svjetlana, and Ana Grbčić. "The Multiphase Queuing System of the Rijeka Airport." Pomorstvo 33, no. 2 (December 19, 2019): 205–9. http://dx.doi.org/10.31217/p.33.2.10.
The paper gives an overview of the real system as a multiphase single server queuing problem, which is a rare case in papers dealing with the application of the queueing theory. The methodological and scientific contribution of this paper is primarily in setting up the model of the real problem applying the multiphase queueing theory. The research of service system at Rijeka Airport may allow the airport to be more competitive by increasing service quality. The existing performance measures have been evaluated in order to improve Rijeka Airport queueing system, as a record number of passengers is to be expected in the next few years. Performance indicators have pointed out how the system handles congestion. The research is also focused on defining potential bottlenecks and comparing the results with IATA guidelines in terms of maximum waiting times.
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Nosek, Ronald Anthony, and James P. Wilson. "Queuing Theory and Customer Satisfaction: A Review of Terminology, Trends, and Applications to Pharmacy Practice." Hospital Pharmacy 36, no. 3 (March 2001): 275–79. http://dx.doi.org/10.1177/001857870103600307.
Queuing theory is the formal study of waiting in line and is an entire discipline in operations management. This article will give the reader a general background into queuing theory, its associated terminology, and it relationship to customer satisfaction. Queuing theory has been used in the past to assess such things as staff schedules, working environment, productivity, customer waiting time, and customer waiting environment. In pharmacy, queuing theory can be used to assess a multitude of factors such as prescription fill-time, patient waiting time, patient counseling-time, and staffing levels. The application of queuing theory may be of particular benefit in pharmacies with high-volume outpatient workloads and/or those that provide multiple points of service. By better understanding queuing theory, service managers can make decisions that increase the satisfaction of all relevant groups – customers, employees, and management.
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Večeřa, Filip, and Lukáš Pavlík. "The finding of the queuing theory models for evaluation throughput of the IRS radio network in the Czech Republic." MATEC Web of Conferences 292 (2019): 02006. http://dx.doi.org/10.1051/matecconf/201929202006.
The queuing theory is a discipline that uses mathematical procedures to evaluate the usability of the utilization system - a radio-communication network. The paper describes the basic parameters of queuing systems and explains the individual variables used in queuing theory models. The functional principles of individual queuing theory models are graphically depicted in the article. The article also includes basic knowledge of the functions of the PEGAS radio communication network, which is used by IRS in the Czech Republic. Not least, the article searches for the most convenient model of queuing theory for the possible evaluation of the transmissivity of the Czech IRS radio network.
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Li, Guoshuai. "Markov chain and queuing theory in nucleic acid tests." Theoretical and Natural Science 19, no. 1 (December 8, 2023): 6–11. http://dx.doi.org/10.54254/2753-8818/19/20230474.
This article mainly introduces M/M/1 queue and M/M/S queue applied in nucleic acid tests which are applications of Markov chains in queuing theory. Firstly, it is pointed that in the two kinds of queuing models, the arrival time and the service time have no aftereffect which means the two kinds of time both belong to the Markov chain, and it is also illustrated that the arrival time and the service time obey the Poisson distribution, which reflects the uniqueness and stability of the two types of queuing models. The distribution functions of waiting time, service time queue length and so on could be obtained by solving the models. Therefore, by comparing the advantages and disadvantages of different models, the managers could make better decisions which are helpful to allocate resources reasonably, avoid overcrowding and decrease the risk of virus transmission. Furthermore, some other queuing models which are in the more special cases and the innovations of many queuing models are also presented briefly. In the end, the applications of such queuing models in other fields are shown.
Thesis (Ph.D)--Industrial and Systems Engineering, Georgia Institute of Technology, 2010. Committee Chair: Leon McGinnis; Committee Co-Chair: Bert Zwart; Committee Member: Antonius Dieker; Committee Member: Craig Tovey; Committee Member: Hayriye Ayhan; Committee Member: Mark Ferguson. Part of the SMARTech Electronic Thesis and Dissertation Collection.
The thesis introduces the theory of queueing systems and demonstrates its applicability to real life problems. It discusses (1) Markovian property and measures of effectiveness with exponential interarrival and service times; (2) Erlang service times, and a single server; (3) different goodness-of-fit tests that can be used to determine whether the exponential distribution is appropriate for a given set of data. A single server queueing system with exponential interarrival times and Erlang service times is simulated using Visual Basic for Applications (VBA).
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Coyle, Andrew James. "Some problems in queueing theory." Title page, contents and summary only, 1989. http://web4.library.adelaide.edu.au/theses/09PH/09phc8812.pdf.
Rumsewicz, Michael P. "Some contributions to the fields of insensitivity and queueing theory." Title page, contents and summary only, 1988. http://web4.library.adelaide.edu.au/theses/09PH/09phr938.pdf.
Kumaran, Jayesh Liefvoort Appie van de. "Approximation models and approaches for computing performance measures that arise in single server queueing systems." Diss., UMK access, 2006.
Thesis (Ph. D.)--School of Computing and Engineering. University of Missouri--Kansas City, 2006. "A dissertation in telecommunications networking and computer networking." Advisor: Appie van de Liefvoort. Typescript. Vita. Title from "catalog record" of the print edition Description based on contents viewed Jan. 29, 2007. Includes bibliographical references (leaves 108-116). Online version of the print edition.
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Sabo, David Warren. "Closure methods for the single-server retrial queue." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/26528.
This work focuses on the development and evaluation of so-called "closure methods" for solving the equations governing the time-dependent behaviour of single-server retrial queues. These methods involve assuming that particular known algebraic relationships between various characteristics of the corresponding steady-state queue also apply approximately when the queue is not at steady-state. The objective is to replace a problem requiring the solution of dozens or hundreds of simultaneous linear differential equations with a system of a few differential equations that has a solution that approximates those queue characteristics of immediate interest. The viability of such closure methods is assessed by examining the results of a series of test calculations.
The methods described in this thesis apply to a retrial queue in which inter-arrival times for new customers, inter-retrial times, and service times are all assumed to be exponentially distributed. The steady-state solution for such a queue is described in some detail. A survey of the literature indicates that the description of this steady-state retrial queue has become quite sophisticated, whereas only very tentative steps have been taken in the study of the time-dependent behaviour of such queues. On the other hand, the time-dependent behaviour of the simple M/M/s queues have been studied to a much greater extent. The apparent value of closure methods in computing approximations to various basic time-dependent M/M/s queue characteristics motivated this examination of the extension of such methods to the single-server retrial queue. After discussing the basic approach to be used in devising and testing prospective closure methods for the single-server retrial queue, a variety of such methods is presented, with each being tested in considerable detail. It is found that three of the methods devised give results of comparable or better accuracy than those closure methods for the simple M/M/s queues which motivated this study. All recommended closure methods developed here involve systems of either two or three differential equations and permit the calculation of good approximations to four of the characteristics of greatest interest for non-stationary queues: the probability that the server is idle, the mean queue length, the variance of the queue length, and the conditional mean number of customers in the system given that the server is idle. Each of the methods presented is tested for queues with constant mean arrival, retrial and service rates, as well as for queues in which arrival and retrial rates vary sinusoidally with time. Science, Faculty of Mathematics, Department of Graduate
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Chang, Woojin. "Asymptotics of k-limited polling models." Thesis, Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/25507.
程瑋琪 and Wai-ki Ching. "Construction of preconditioners for queueing networks." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B3121132X.
Ching, Wai-ki. "Construction of preconditioners for queueing networks /." [Hong Kong] : University of Hong Kong, 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1378707X.
Gnedenko, B. V., and I. N. Kovalenko. Introduction to Queuing Theory. Boston, MA: Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4615-9826-8.
Zonderland, Maartje E. "Basic Queuing Theory." In SpringerBriefs in Health Care Management and Economics, 13–26. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4899-7451-8_3.
Buckley, James J. "Fuzzy Queuing Theory." In Fuzzy Probabilities, 61–69. Heidelberg: Physica-Verlag HD, 2003. http://dx.doi.org/10.1007/978-3-642-86786-6_5.
Buckley, James J. "Fuzzy Queuing Theory." In Fuzzy Probabilities and Fuzzy Sets for Web Planning, 45–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-36426-9_5.
Kalashnikov, Vladimir V. "Queueing Theory." In Mathematical Methods in Queuing Theory, 5–15. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2197-4_1.
Giambene, Giovanni. "Survey on Probability Theory." In Queuing Theory and Telecommunications, 265–317. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-4084-0_4.
Giambene, Giovanni. "Markov Chains and Queuing Theory." In Queuing Theory and Telecommunications, 319–65. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-4084-0_5.
Giambene, Giovanni. "Introduction to Telecommunication Networks." In Queuing Theory and Telecommunications, 3–60. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-4084-0_1.
Giambene, Giovanni. "Legacy Digital Networks." In Queuing Theory and Telecommunications, 61–127. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-4084-0_2.
Giambene, Giovanni. "IP-Based Networks and Future Trends." In Queuing Theory and Telecommunications, 129–262. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-4084-0_3.
Hohn, N., D. Veitch, K. Papagiannaki, and C. Diot. "Bridging router performance and queuing theory." In the joint international conference. New York, New York, USA: ACM Press, 2004. http://dx.doi.org/10.1145/1005686.1005728.
Biao, Xu, Chen Hao, Xianqiong Wu, Wu Wei, and Li Ce. "Journey Arrangements Based on Queuing Theory." In 2013 Fifth International Conference on Computational and Information Sciences (ICCIS). IEEE, 2013. http://dx.doi.org/10.1109/iccis.2013.183.
Usmanov, Vjacheslav, and Cenek Jarský. "Application of Queuing Theory in Construction." In 29th International Symposium on Automation and Robotics in Construction; Held jointly with the 8th World Conference of the International Society for Gerontechnology. International Association for Automation and Robotics in Construction (IAARC), 2012. http://dx.doi.org/10.22260/isarc2012/0048.
Lipsky, Lester, Dilip Tagare, and Edward Bigos. "Evaluation of queuing system parameters using linear algebraic queuing theory---an implementation." In the 1990 ACM SIGSMALL/PC symposium. New York, New York, USA: ACM Press, 1990. http://dx.doi.org/10.1145/99412.99467.
Nguyen, Dinh Son. "Application of queuing theory in service design." In 2017 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM). IEEE, 2017. http://dx.doi.org/10.1109/ieem.2017.8290009.
Horling, Bryan, and Victor Lesser. "Using queuing theory to predict organizational metrics." In the fifth international joint conference. New York, New York, USA: ACM Press, 2006. http://dx.doi.org/10.1145/1160633.1160829.
Mengyao, Yang. "Security Check Model Based on Queuing Theory." In 7th International Conference on Education, Management, Information and Computer Science (ICEMC 2017). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/icemc-17.2017.59.
Vaghani, Kunj, Vivek Thakkar, Sumit Vaghasiya, Jignesh Thaker, and Ashlesha Bhise. "Implementation of Queuing Theory in Emergency Departments." In 2024 IEEE International Conference on Interdisciplinary Approaches in Technology and Management for Social Innovation (IATMSI). IEEE, 2024. http://dx.doi.org/10.1109/iatmsi60426.2024.10503130.
Ryzhikov, Yuri. "Numerical methods of the queuing theory and their program realization." In Workshops (ICUMT). IEEE, 2009. http://dx.doi.org/10.1109/icumt.2009.5345319.
Sharma, Aseem, Krishna Jagannathan, and Lav R. Varshney. "Information overload and human priority queuing." In 2014 IEEE International Symposium on Information Theory (ISIT). IEEE, 2014. http://dx.doi.org/10.1109/isit.2014.6874949.
Sullivan, Keith M., and Ian Grivell. QSIM: A Queueing Theory Model with Various Probability Distribution Functions. Fort Belvoir, VA: Defense Technical Information Center, March 2003. http://dx.doi.org/10.21236/ada414471.
Wornel, Gregory W. Fractal Point Process and Queueing Theory and Application to Communication Networks. Fort Belvoir, VA: Defense Technical Information Center, December 1999. http://dx.doi.org/10.21236/ada375382.
