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M/M/∞ queue

M m m Queue with Balking, Reneging and Additional Servers

M m m Queue with Balking, Reneging and Additional Servers

... In many real life situations, the arriving customers may be discouraged due to long queue, and decide not to join the queue and leave the system at once. This behavior of customers is referred as ‘balking’. ...

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Impatient customers in an M/M/c queue with single and multiple synchronous working vacations

Impatient customers in an M/M/c queue with single and multiple synchronous working vacations

... M Mqueue was studied in Altman and Yechiali ...analyzed M/M/c queuing system with impatient customers operating in a 2-phase (fast and slow) Markovian random ...

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M/M/C Bulk Arrival And Bulk Service Queue With Randomly Varying Environment

M/M/C Bulk Arrival And Bulk Service Queue With Randomly Varying Environment

... sizes M in all the environments is greater than the maximum of the service sizes N in all the environments, (M > N), and the infinitesimal generator is partitioned as blocks of k times the maximum of the ...

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BMAP/M/C Bulk Service Queue with Randomly Varying Environment

BMAP/M/C Bulk Service Queue with Randomly Varying Environment

... sizes M in all the environments is greater than the maximum of the service sizes N in all the environments, (M > N), and the infinitesimal generator is partitioned as blocks of the sum of the number of ...

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Transient solution of a m/m/4 queue with heterogeneous servers subject to catastrophes and balking

Transient solution of a m/m/4 queue with heterogeneous servers subject to catastrophes and balking

... In this system, we deal with the M/M/4 queueing system with heterogeneous servers subject to catastrophe as well as balking. We consider the customers arrive at the system one by one according to a Poisson ...

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Transient solution of a m/m/4 queue with heterogeneous servers subject to catastrophes and balking

Transient solution of a m/m/4 queue with heterogeneous servers subject to catastrophes and balking

... In this system, we deal with the M/M/4 queueing system with heterogeneous servers subject to catastrophe as well as balking. We consider the customers arrive at the system one by one according to a Poisson ...

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Performance measures of M(x) / G / 1 Queue with Balking

Performance measures of M(x) / G / 1 Queue with Balking

... In this paper we analyzed the vacation model of an M (X) / G / 1 queue with balking and variable vacations. This type of modeling and analysis can be applied in many situations. Queuing model can be used to ...

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MULTI Phase M/G/1 Queue with Bernoulli Feedback and Multiple Server Vacation

MULTI Phase M/G/1 Queue with Bernoulli Feedback and Multiple Server Vacation

... Many authors have taken considerable efforts to study about Bernoulli feedback queueing systems Takacs was the first to study such a model, where the customers who completed their services feedback instantaneously to the ...

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The MX/M/1 Queue with Multiple Working Vacation

The MX/M/1 Queue with Multiple Working Vacation

... rather than completely stopping service during the service period. Using a quasi upper triangular transition probability matrix of two-dimensional Markov chain and matrix analytic method, the probability generating ...

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M x/G/1 Queue with Disasters and Working Breakdowns

M x/G/1 Queue with Disasters and Working Breakdowns

... Geo/Geo/1 queue with negative customers and disasters, ...Geo/G/1 queue with disasters and multiple working vacations”, Stochastic ...“The M/G/1 processor- sharing queue with disasters”, ...

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An M/M/1 Retrial Queue With Working Vacation And Non-persistent Customers
Under Bernoulli Schedule

An M/M/1 Retrial Queue With Working Vacation And Non-persistent Customers Under Bernoulli Schedule

... an M/M/1 ...the queue with working vacation will become an ordinary ...the queue with working vacation is a promotion of the queue with ordinary ...server queue with single ...

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On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (∞/FIFO) Queue System Model

On The Effect of Random Variations in the Parameter of Arrival and Service Time Distributions on Various Queue Characteristics in (M/M/1): (∞/FIFO) Queue System Model

... various queue systems have been analyzed by using their respective probability mass functions ...FIFO) queue system ...of queue system models regarding statistical inferences on its useful ...the ...

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Scalability of M/M/c Queue based Cloud-Fog Distributed Internet of Things Middleware

Scalability of M/M/c Queue based Cloud-Fog Distributed Internet of Things Middleware

... server queue M/M/c or M/M/c/K, when utilization reaches threshold say 80% or response time is more than specified in SLA, more resources are added, ...

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A new multi-mode and multi-product hub covering problem‎: ‎A priority M/M/c queue ‎approach

A new multi-mode and multi-product hub covering problem‎: ‎A priority M/M/c queue ‎approach

... Marianove and Sera [9] introduced a novel for- mulation of hub location problem in airline net- works behaving as an M/D/c queue system. They proposed a probabilistic constraint that the prob- ability of ...

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Time Dependent Probabilities of M/M/1 Queue with Working Vacation Subject to Disasters and Repair

Time Dependent Probabilities of M/M/1 Queue with Working Vacation Subject to Disasters and Repair

... Kumar and Arivudainambi (2000) derived transient solution of single server queue with catastrophes Yang and Kim (2002) dealt with M/G/1 stochastic clearing system and derived length of the system. Reader ...

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An Analytical Solution for Queue: M/D/1 with Balking

An Analytical Solution for Queue: M/D/1 with Balking

... for M/D/1 with addition the concept balking a probability generating function and iterative method were devised to determine the probability that there are n customers in the system, the probability that no ...

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An M[X]/G/1 Retrial G-Queue with Server Breakdown

An M[X]/G/1 Retrial G-Queue with Server Breakdown

... virtual queue called orbit to try their request after some random ...(1997). Queue with negative arrivals called G queue was first introduced by Gelenbe (1989) with a view to modelling neural ...an ...

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Transient Solution of A M/M/4 Queue With Heterogeneous Servers Subject To Catastrophes

Transient Solution of A M/M/4 Queue With Heterogeneous Servers Subject To Catastrophes

... on M/M/4 queuing system with heterogeneous servers and assume that the servers times follow exponential distributions with the service rates as  1 ,  2 ,  3 , and  4 for four different servers where  1 ...

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Analysis of an M/M/1 Queue with Two Vacation Policies

Analysis of an M/M/1 Queue with Two Vacation Policies

... stationary queue length L in system can be decomposed into sum of two independent random variables: L  L 0  L d , where L 0 is the queue length of the classical M/M/1 queue in steady ...

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M/M/C Queue under Monte Carlo Simulation for a Restaurant Model

M/M/C Queue under Monte Carlo Simulation for a Restaurant Model

... Abstract: In this paper we present a stochastic queuing model for a restaurant which captures the stationary density flow relations. The performance of controlling the heterogeneous crowd in a restaurant under Monte ...

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