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M/M/1 retrial queue with working vacations and negative customer arrivals

Tien Van Do, Dénes Papp, Ram Chakka, János Sztrik, Jinting Wang
2014 International Journal of Advanced Intelligence Paradigms  
The M/M/1 retrial queue with working vacations and negative customers is introduced. The arrival processes of positive customers and negative customers are Poisson.  ...  Upon the arrival of a positive customer, if the server is busy the customer would enter an orbit of infinite size and the orbital customers send their requests for service with a constant retrial rate.  ...  Innovation Fund and was performed in cooperation with the EIT ICT Labs Budapest Associate Partner Group (www.ictlabs.elte.hu).  ... 
doi:10.1504/ijaip.2014.059586 fatcat:ismw246pm5ecndccnrchecighi

M/M/1 Retrial Queueing System with Vacation Interruptions Under Erlang-K Service

G. Ayyappan, Gopal Sekar, A.Muthu Ganapathi
2010 International Journal of Computer Applications  
Consider a single server retrial queueing system in which customers arrive in a Poisson process with arrival rate λ. Let k be the number of phases in the service station.  ...  If the server is busy, then the arriving customer goes to orbit and becomes a source of repeated calls. This pool of sources of repeated calls may be viewed as a sort of queue.  ...  MODEL DESRIPTION Consider a single server retrial queueing system in which customers arrive in a Poisson process with arrival rate λ. These customers are identified as primary calls.  ... 
doi:10.5120/626-882 fatcat:vp3ih7guwrf5pk4vgeibknzpaq

M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy

Li Tao, Liyuan Zhang, Shan Gao
2014 Journal of Applied Mathematics  
We consider an M/M/1 retrial queue with working vacations, vacation interruption, Bernoulli feedback, and N-policy simultaneously.  ...  During the working vacation period, customers can be served at a lower rate. Using the matrix-analytic method, we get the necessary and sufficient condition for the system to be stable.  ...  This work is supported by the National Nature Science Foundation of China (no. 11301306), the Post-Doctoral Research Project of China (no. 2013M540041), and the Scientific Research Starting Foundation  ... 
doi:10.1155/2014/414739 fatcat:4plce542rzcmlh4tokvwi2dv54

M/M/1 retrial queue with collisions and working vacation interruption under N-policy

Li Tao, Zaiming Liu, Zhizhong Wang
2012 Reserche operationelle  
Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy.  ...  We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model.  ...  Quasi birth and death (QBD) process model In this paper, we consider an M/M/1 retrial queue with collisions, working vacations, vacation interruption and N-policy at the same time.  ... 
doi:10.1051/ro/2012022 fatcat:htu32chiznfutketspayshpiqi

Equilibrium and Optimal Strategies in M/M/1 Queues with Working Vacations and Vacation Interruptions

Ruiling Tian, Linmin Hu, Xijun Wu
2016 Mathematical Problems in Engineering  
We consider the customers equilibrium and socially optimal joining-balking behavior in single-server Markovian queues with multiple working vacations and vacation interruptions.  ...  Arriving customers decide whether to join the system or balk, based on a linear reward-cost structure that incorporates their desire for service, as well as their unwillingness for waiting.  ...  Acknowledgments This work is partially supported by the Natural Foundation of Hebei Province (nos.  ... 
doi:10.1155/2016/9746962 fatcat:nlvqs5o2yvhpjjr7cab4osycc4

M/M/1 Retrial queueing system with negative arrival under non-preemptive priority service

A. Muthu Ganapathi Subramanian, G. Ayyappan, G. Sekar
2014 Malaysian Journal of Fundamental and Applied Sciences  
Consider a single server retrial queueing system with negative arrival under non-pre-emptive priority service in which three types of customers arrive in a poisson process with arrival rate λ1 for low  ...  The retrial and negative arrivals are introduced for low priority customers only. Gelenbe (1991) has introduced a new class of queueing processes in which customers are either positive or negative.  ...  The retrial and negative arrivals are introduced for low priority customers only.  ... 
doi:10.11113/mjfas.v5n2.295 fatcat:kz347ynsyzegpibueoscql3sla

AN M/M/1 QUEUE IN RANDOM ENVIRONMENT WITH DISASTERS

NOAM PAZ, URI YECHIALI
2014 Asia-Pacific Journal of Operational Research  
We study a M/M/1 queue in a multi-phase random environment, where the system occasionally suffers a disastrous failure, causing all present jobs to be lost. The system then moves to a repair phase.  ...  In Secs. 7 and 8, various performance measures, such as mean queue sizes, mean sojourn times and mean number of customers lost per unit time are calculated.  ...  M/1 queue with arrival rate λ i and service rate µ i .  ... 
doi:10.1142/s021759591450016x fatcat:yvagclxirbakdiih7tsoljcdwe

Optimal Pricing Strategies and Customers' Equilibrium Behavior in an Unobservable M/M/1 Queueing System with Negative Customers and Repair

Doo Ho Lee
2017 Mathematical Problems in Engineering  
This work investigates the optimal pricing strategies of a server and the equilibrium behavior of customers in an unobservable M/M/1 queueing system with negative customers and repair.  ...  In this work, we consider two pricing schemes. The first is termed the ex-post payment scheme, where the server charges a price that is proportional to the time spent by a customer in the system.  ...  an M/M/1 queueing system with negative customers and repair.  ... 
doi:10.1155/2017/8910819 fatcat:crnpprfdx5hb7mmbhyo5gwkecq

Optimal control of M/M/1 two-phase queueing system with state-dependent arrival rate, server breakdowns, delayed repair, and N-policy

Hanumantha Rao, Vasanta Kumar, T Srinivasa Rao, B Srinivasa Kumar
2018 Journal of Physics, Conference Series  
General bulk service queueing system with N-policy, multiplevacations, setup time and server breakdown without interruption S Sasikala, K Indhira and V M Chandrasekaran -A group arrival retrial G -queue  ...  from IP address 207.241.231.83 on 02/05Abstract: In this paper, we examine a two-stage queueing system where the arrivals are Poisson with rate depends on the condition of the server to be specific: vacation  ...  Conclusions M/M/1 two-phase queueing system with state-dependent arrival rate, server breakdowns, delayed repair, and N-policy is analyzed.  ... 
doi:10.1088/1742-6596/1000/1/012031 fatcat:omhtqmnjejfplcgsj3nkrqcfuq

Strategic behavior in the constant retrial queue with a single vacation

Yu Zhang
2019 Reserche operationelle  
We study customers' joining strategies in an M/M/1 constant retrial queue with a single vacation.  ...  Otherwise, if the server is found unavailable, the customer enters a retrial pool called orbit with infinite capacity and becomes a repeated customer.  ...  [4] which studied customers' joining or balk decision in an M/M/1 constant retrial queue under the working vacation policy.  ... 
doi:10.1051/ro/2019016 fatcat:hfo572l2r5d4lfjstnlhlqk2qe

Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule

P. Rajadurai, V.M. Chandrasekaran, M.C. Saravanarajan
2016 Ain Shams Engineering Journal  
In this paper, we consider a single server retrial queueing system with working vacations.  ...  ., Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule, Ain Shams Eng J (2016), http://dx.  ...  Acknowledgments The authors are thankful to the reviewers for their valuable comments and suggestions for the improvement of the paper.  ... 
doi:10.1016/j.asej.2016.03.008 fatcat:mnxmvamjgnftvmbsdzkmlmpika

Mathematical Analysis of Queue with Phase Service: An Overview

Richa Sharma
2014 Advances in Operations Research  
In this survey paper, an attempt has been made to review the work done by the prominent researchers on the phase service queues and their applications in several realistic queueing situations.  ...  The main objective of present paper is to provide relevant information to the system analysts, managers, and industry people who are interested in using queueing theory to model congestion problems wherein  ...  In order to explain MGM, we describe the queue with single working vacation (compare to [22] ). Consider M/M/1 queue with arrival rate and service rate was considered.  ... 
doi:10.1155/2014/240926 fatcat:w4cx7rksdvgfrgqom3iu4vloj4

Batch Arrival Retrial Queue with Negative Customers, Multi-optional Service and Feedback

K. Kirupa, K. Udaya
2015 Communications on Applied Electronics  
This paper deals with single server retrial queueing model where in addition to regular arriving customers there are negative arrivals. Server provides M types of service.  ...  If the server is idle upon the arrival of a batch, one of the customers in the batch receives any one of the types immediately and the rest join the orbit.  ...  MODEL DESCRIPTION Consider a single server retrial queueing system with two types of independent arrivals, positive and negative.  ... 
doi:10.5120/cae2015651707 fatcat:ruuwzri53vheri2xclpk4dyphy

An M/G/1 Retrial G-Queue with General Retrial Times and Working Breakdowns

Tao Li, Liyuan Zhang
2017 Mathematical and Computational Applications  
This paper considers an M/G/1 retrial G-queue with general retrial times, in which the server is subject to working breakdowns and repairs.  ...  If the system is not empty during a normal service period, the arrival of a negative customer can cause the server breakdown, and the failed server still works at a lower service rate rather than stopping  ...  Liu and Song [12] extended the M/M/1 queue to the M X /M/1 queue, where customers arrive in batches.  ... 
doi:10.3390/mca22010015 fatcat:m7vlpbougzcs3i5h3sesdad2ny

Implementation of Fuzzy Logic for M/M/C Model in Packet Switched Network Using HoL Priority Queue

Sampath Kumar. K, R. Jahir Hussain
2019 International Journal of Research in Advent Technology  
The service rate has been altered between one and two for altering the C value in the queue.  ...  Also, the number of units have been kept at both high and low and based on that the service rate is altered.  ...  A single vacation requires a work that is not a negative value with variable V and with a speed of β> 0.  ... 
doi:10.32622/ijrat.71201997 fatcat:luugssl5bbaq7i6mdqh5p7vpdm
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