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M/M/1 queueing models

Minimizing the Loss Probability in M/M/2/1 Queueing System with Ordered Entry

Minimizing the Loss Probability in M/M/2/1 Queueing System with Ordered Entry

... The fundamental M/M/2/1 queueing models with waiting room of capacity one and with identical two servers have been examined. The most effective mea- surement of the system is the loss ...

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Asymptotic behavior of the time-dependent solution of an M/G/1 queueing model

Asymptotic behavior of the time-dependent solution of an M/G/1 queueing model

... about queueing systems with server vacations. But most works on vacation models have been limited to the analysis of ...the M/G/ queueing system with exceptional service time for the first ...

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Analysis of $M/M/1$ queueing system with state dependent Arrival and detainment of retracted customers

Analysis of $M/M/1$ queueing system with state dependent Arrival and detainment of retracted customers

... an M/G/1 queue with deterministic ...the M/M/C queue with a single class of customers and constant patience time by finding simple Markov ...the M/M/1 queue with two ...

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M/G/1 Retrial Queueing System with Bernoulli Feedback and Modified Vacation

M/G/1 Retrial Queueing System with Bernoulli Feedback and Modified Vacation

... Such queueing models arise in data transmission wherein a packet transmitted from the source to the destination may be returned and it may go on like that until the packet is finally ...

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Investigation of Probability Generating Function in an Interdependent M/M/1:(∞; GD) Queueing Model with Controllable Arrival Rates Using Rouche’s Theorem

Investigation of Probability Generating Function in an Interdependent M/M/1:(∞; GD) Queueing Model with Controllable Arrival Rates Using Rouche’s Theorem

... of queueing models, particularly to explore many significant performance measures in study of wide range of queueing models which has been been evidenced by recent work of Maurya [1,6,7] and ...

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Vol 8, No 8 (2017)

Vol 8, No 8 (2017)

... / queueing models with server vacations. An M / M / c queue with impatient customers has been studied by Yechiali ...the M /M /1 queueing system with impatient ...

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M/G/1 Vacation Queueing Systems with Server Timeout

M/G/1 Vacation Queueing Systems with Server Timeout

... In the vacation models that have been analyzed in the literature, server timeouts have not been considered. In this paper, we consider vacation queueing systems with server timeouts. Specifically, we ...

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Control chart for number of customers in the system of M[X] / M / 1 Queueing system

Control chart for number of customers in the system of M[X] / M / 1 Queueing system

... Abstract:Queueing models characterized by bulk arrival or bulk service of either fixed or variable sizes are commonly found in modelling of traffic and transportation systems, complex computer and ...

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Analysis of FM/M (a,b)/1/MWV Queueing Model

Analysis of FM/M (a,b)/1/MWV Queueing Model

... In queueing models, there are situations particularly in transportation system, where the service provided is such that a group of customers can be served ...in queueing theory. The analytic ...

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A New Heuristic Solution Method for Maximal Covering Location-Allocation Problem 
with M/M/1 Queueing System

A New Heuristic Solution Method for Maximal Covering Location-Allocation Problem with M/M/1 Queueing System

... probabilistic models, as well as its application in emergency facility location, are discussed in many review papers including those of ReVelle [33]; Schilling et ...

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M/M/1 Queueing system with Customer Balking and Reneging

M/M/1 Queueing system with Customer Balking and Reneging

... the queueing models with balking, reneging during different vacation states the reader may refer to [4 and 5] Dequan Yue, Wuyi Yue, Xiuju Li [1] considered queuing system with impatient customers and ...

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On an M/G/1 Queueing Model with k Phase Optional Services and Bernoulli Feedback

On an M/G/1 Queueing Model with k Phase Optional Services and Bernoulli Feedback

... The M/G/1 queueing model is one of the famous and applied models in which the distribution of service times is ...real models could be considered by this ...some queueing ...

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Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems

Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems

... waiting time of the ist customer and a randomly selected customer of an arrival group for bulk arrivals queueing models, and as well as moments of the waiting time in.. queue for M/G/I q[r] ...

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The M/M/c/N/K Interdependent Queueing Model with Controllable Arrival Rates and Reverse Balking

The M/M/c/N/K Interdependent Queueing Model with Controllable Arrival Rates and Reverse Balking

... 3 4 4 0.5 0 1 3.0567600X10 -5 0.0011703 0.9988297 7.7364928 1.9346886 4 4 4 0.5 0 1 7.4477445X10 -6 0.0006883 0.9993117 7.7739091 1.9351057 3 5 4 0.5 0 1 1.3009903X10 -5 0.0004981 0.9995019 7.8039075 ...

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Finite Capacity Queuing System with Vacations and Server Breakdowns

Finite Capacity Queuing System with Vacations and Server Breakdowns

... studied M/G/1/N queue with server vacations and exhaustive service and obtained the distributions of the unfinished work, the virtual waiting time and the real waiting time, ...policy ...

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An M/G/1 Feedback Queueing System with Second Optional Service and with Second Optional Vacation

An M/G/1 Feedback Queueing System with Second Optional Service and with Second Optional Vacation

... The following assumptions briefly describe the mathematical model of our study. The arrival follows Poisson distribution with mean arrival rate λ (> 0). There is a single server who provides the first essential ...

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IDENTIFYING STATIONARY PERIODS AND DISTRIBUTION SELECTION FOR QUEUEING PROCESS

IDENTIFYING STATIONARY PERIODS AND DISTRIBUTION SELECTION FOR QUEUEING PROCESS

... of queueing systems as described by Bhat (2008) is to comprehend the manners of their fundamental processes and able to give conversant and sharp decisions in their ...studying queueing system which face ...

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Equilibrium Customer Strategies in Markovian Queues with Working Vacations and N policy

Equilibrium Customer Strategies in Markovian Queues with Working Vacations and N policy

... In this paper, we consider an M/M/1 queue system with working vocations and N-policy. Assume that customer's potential arrival rate is and the server's service rate in regular busy period is . At the ...

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A Non Preemptive Priority Queueing System with a Single Server Serving Two Queues M/G/1 and M/D/1 with Optional Server Vacations Based on Exhaustive Service of the Priority Units

A Non Preemptive Priority Queueing System with a Single Server Serving Two Queues M/G/1 and M/D/1 with Optional Server Vacations Based on Exhaustive Service of the Priority Units

... We use the supplementary variable technique by in- troducing two supplementary variables, one for the elapsed service time of a priority unit and the other for the elapsed vacation time of the server. Thus, we gener- ...

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Vol 6, No 7 (2015)

Vol 6, No 7 (2015)

... retrial queueing system with general service for constant retrial policy is discussed and derived the probability generating functions for number of customers in the orbit when the server is idle / ...

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