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Performance Analysis and Optimal Control of an M/M/1/k Queueing System with Impatient Customers [chapter]

Peter R. de Waal
1987 Informatik-Fachberichte  
ACKNOWLEDGEMENTS I would like to thank J.H. van Schuppen for his help and support in the preparation of this paper. These investigations are supported by the Technology Foundation (STW).  ...  INTRODUCTION In this paper we discuss the performance analysis and optimal control of an MIMI 1 lk queueing system with impatient customers.  ...  OPTIMAL CONTROL In this section we discuss the optimal control of an M/M/ 1 queueing system with impatient customers.  ... 
doi:10.1007/978-3-642-73016-0_3 dblp:conf/mmb/Waal87 fatcat:rdanygcvvrcdhnbafvpxvuies4

Service Performance Analysis and Improvement for a Ticket Queue with Balking Customers

Susan H. Xu, Long Gao, Jihong Ou
2007 Management science  
We also propose an improvement to the ticket queue that provides each customer with his expected waiting time conditioned on his observed number difference, which is shown to raise the performance of the  ...  In particular, we show that ticket and physical queues have significantly different balking probabilities when customer patience is low and the system traffic is heavy.  ...  improved this paper's motivation, management relevancy, and exposition.  ... 
doi:10.1287/mnsc.1060.0660 fatcat:6bbpvwrhavgetirukn6msyyqzm

ANFIS and Cost Optimization for Markovian Queue with Operational Vacation

Sonali Thakur, Anamika Jain, Madhu Jain
2021 International journal of mathematical, engineering and management sciences  
In this paper, we investigate the M/M/1/N single server finite capacity Markovian queueing model with operational vacation and impatient behavior of the customers.  ...  For computing the stationary queue length, matrix-geometric analytic is performed. The sensitivity analysis is carried for the validation of the system performance measures.  ...  Acknowledgments The authors would like to express their sincere thanks to the editor and anonymous reviewers for their constructive comments and valuable suggestions.  ... 
doi:10.33889/ijmems.2021.6.3.053 doaj:6bb7afcf5cb14cb6bf712a082986d3ae fatcat:kj7tyzermvg5nfaqycjxlul3lq

Parameter and State Estimation in Queues and Related Stochastic Models: A Bibliography [article]

Azam Asanjarani, Yoni Nazarathy, Philip K. Pollett
2017 arXiv   pre-print
This is an annotated bibliography on estimation and inference results for queues and related stochastic models.  ...  This bibliography attempts to include all known works that satisfy both of these requirements: -Works that deal with queueing models.  ...  Ibrahim and Whitt [137] : Studies the performance of alternative real-time delay estimators based on recent customer delay experience.  ... 
arXiv:1701.08338v1 fatcat:57wwewuifndblp7aqkmf6l2aim

Some aspects of balking and reneging in finite buffer queues

Amit Choudhury, Pallabi Medhi
2011 Reserche operationelle  
This paper is an attempt to model balking with position dependent reneging. Explicit closed form expressions of a number of performance measures are presented.  ...  In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege.  ...  The model and system state probabilities The model we deal with is the traditional M/M/1/k model with the restriction that customers may balk from a non-empty queue as well as may renege after they join  ... 
doi:10.1051/ro/2011113 fatcat:ply5ngvfgbgxhehipwq3754ipi

Determining a Checkout Register Opening Policy to Maximize Profit In convenience Stores Chains

E. Ruelas-Gonzalez, J. Limon-Robles, N. Smith-Cornejo
2010 Journal of Applied Research and Technology  
This paper presents an applied approach to model the probability that customers actually enter the store and define the optimal opening level (N-policy) of the second checkout register based on several  ...  factors including the particular waiting line length tolerance level of usual customers, the average hourly arrival rate of customers to the store and the average gain per customer transaction.Several  ...  Acknowledgments This research and divulgation has been supported by ITESM Campus Monterrey Research Fund CAT128.  ... 
doi:10.22201/icat.16656423.2010.8.03.464 fatcat:xpyko4j7creavdnc3andvt3bbq

Applications of queues in hospitals in Istanbul

Dr. Imran Aslan
2015 Journal of Social Sciences (COES&RJ-JSS)  
, combining system of all hospitals in the same city for scheduling of surgery and other operations, decreasing waiting queues and workload on doctors can help to improve the current healthcare system.  ...  The private sector partly subsidized by governments is more profit oriented and its share has been increasing. The quality of care can be increased by low waiting and better performance of doctors.  ...  M/M/1/k Queuing Model with blocking Blocking occur due to limited capacity of serial queues in the network.  ... 
doi:10.25255/jss.2015.4.2.770.794 fatcat:c7sjxcug7fbvfojvvg5yce5t4u

"We Will Be Right with You": Managing Customer Expectations with Vague Promises and Cheap Talk

Gad Allon, Achal Bassamboo, Itai Gurvich
2011 Operations Research  
How delay announcements can influence customers in service systems is a complex problem which depends on both the dynamics of the underlying queueing system and on the customers' strategic behavior.  ...  The analysis of the emerging equilibria provides new and interesting insights into customer-firm information sharing.  ...  Let p θ,k q be the steady-state probability that the queue length equals q in an M/M/1/k queuing system with arrival rate θλ and service rate µ.  ... 
doi:10.1287/opre.1110.0976 fatcat:hbpxqbbjcvhljpsera74byd4sa

Admission control for finite capacity queueing model with general retrial times and state-dependent rates

Madhu Jain, ,Indian Institute of Technology Roorkee - 247 667, India, Sudeep Singh Sanga
2017 Journal of Industrial and Management Optimization  
The finite state dependent queueing model with F -policy is investigated by considering the general retrial attempts.  ...  A cost function is constructed and minimized for evaluating the optimal threshold parameter and optimal service rate. 2020 Mathematics Subject Classification. 60K25, 68M20, 90B22.  ...  We thank the Editors and the anonymous referees for constructive suggestions and feedback that help us to improve the presentation.  ... 
doi:10.3934/jimo.2019073 fatcat:chckhfervvafxpme3w5d4gcaqe

From computer science to service science: Queues with human customers and servers

Hideaki Takagi
2014 Computer Networks  
Queueing theory is still useful in contemporary service systems having human customers and servers as precious resources.  ...  As an example of service science for healthcare, we show modeling of obstetric patient flow in a hospital by means of Little's law and a network of M/M/m and M/G/∞ queues.  ...  ( 1 − ρ m ) m1k=0 ρ k k! + ρ m m! (6) is the famous Erlang's C-formula for the probability that a customer waits upon arrival [13, p.103 ].  ... 
doi:10.1016/j.comnet.2014.03.014 fatcat:xydygsjnqjdyrcvqggkvaj7nvi

Cheap Talk in Operations: Role of Intentional Vagueness [chapter]

Gad Allon, Achal Bassamboo
2009 International Series in Operations Research and Management Science  
on their expectation regarding the system performance.  ...  CHEAP TALK IN OPERATIONS state of the system, as known to the system manager when the customer arrives, and (ii) no information -where no information is provided, and customers must base their decisions  ...  customers who join the M/M/1/k queue.  ... 
doi:10.1007/978-0-387-98026-3_1 fatcat:p4gdduvdsjak5oh575ppedpya4

Optimal dispatching in a tandem queue

D. van Leeuwen, R. Núñez Queija
2017 Queueing systems  
In this paper, we exploit the structure of the optimal strategy and develop heuristic policies motivated by the analysis of a related controlled fluid problem.  ...  The fluid approach provides excellent approximations, and thus understanding, of the optimal MDP policy.  ...  To apply the fluid approximations of Sect. 5 for the controllable tandem queue with two single server queues, we only need minor modifications: The second queue is now approximated with the usual M/M/1  ... 
doi:10.1007/s11134-017-9554-x fatcat:ka6n7trsjnb7nex6hip7gnzexi

Queueing Models for Cognitive Radio Networks: A Survey

Filip Paluncic, Attahiru S. Alfa, B. T. Maharaj, Hilary M. Tsimba
2018 IEEE Access  
His research covers, but not limited to, the following areas, such as queuing theory and applications, optimization, performance analysis and resource allocation in telecommunication systems, modeling  ...  access control and quality of service provisioning.  ...  The CRN employs multiple channels and ARQ is implemented in the link layer. A M /M /1/K queue model is employed.  ... 
doi:10.1109/access.2018.2867034 fatcat:wmj5v3eppzc2hcdwx4xnqn55ue

The Impact of Delaying the Delay Announcements

Gad Allon, Achal Bassamboo
2011 Operations Research  
the firm and the customers respectively.  ...  The focus of this paper is on the impact of this postponement on the ability of the firm to communicate non-verifiable congestion information to its customers as well as on the profits and utilities for  ...  Full control . control From the service provider's point of view, deciding on a threshold level amounts to deciding what should be the finite waiting space in an M/M/1/k queueing system.  ... 
doi:10.1287/opre.1110.0972 fatcat:fsds67ekangs3hxqr7wdmemyu4

Network Location Problem with Stochastic and Uniformly Distributed Demands

2016 International Journal of Engineering  
Using queueing analysis, we develop a mixed integer mathematical model to minimize the total travel and the average waiting times for customers.  ...  A number of facilities are to be selected from a number of candidate sites, and a single server is located at each facility with exponentially distributed service times.  ...  each facility (M/M/C queue for each facility).  Limited capacity for each facility (M/M/1/K and M/M/C/K queue models).  Impatient customers (balking, reneging and jockeying).  ... 
doi:10.5829/idosi.ije.2016.29.05b.09 fatcat:dhodyccrm5cvbponjqh2bive7y
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