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G/M/1

Transient Little’s Law for the First and Second Moments of G/M/1/N Queue Measures

Transient Little’s Law for the First and Second Moments of G/M/1/N Queue Measures

... and , as well as between the variances. The practical and theoretical significance of G/M/1/N and many specific results on such queue can be found in Cohen [18], Asmussen [19], and Adan et al. [20]. ...

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Optimal Location of Facilities on a Network in Which Each Facility is Operating as an M/G/1 Queue

Optimal Location of Facilities on a Network in Which Each Facility is Operating as an M/G/1 Queue

... In this paper, we consider a facility location problem in which customers and facilities are located on a network, and each facility is assumed to be operating as an M/G/1 queuing system. In many ...

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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

... This paper is concerned with the M/G/1 retrial queueing system with Bernoulli feedback, discouragement, modified vacation and server breakdowns. The arrival stream occurs according to Poisson ...

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M[x]/G/1 Queue with Two Phase of Service and Optional Server Vacation

M[x]/G/1 Queue with Two Phase of Service and Optional Server Vacation

... Recently, there have been several contributions considering queueing system of M/G/1 type in which the server may provide a second phase service. Such queueing situations occur in day-to-day life, ...

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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

... Abstract. We study an M/G/1 queueing system with Bernoulli feedback and with second optional service and second optional vacation. Customers arrive singly and are served one by one according to FCFS ...

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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

... the M/G/1 queueing model with exceptional service time for the first customer in each busy period that was described by infinitely many partial differential equations with integral boundary conditions ...

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Optimal sleep-state control of energy-aware M/G/1 queues

Optimal sleep-state control of energy-aware M/G/1 queues

... = 1 . 0. With these assumptions, the ERP metric of the standard M/G/ 1 system, I = ∞ , will read as 2560 while that of the sleeping policy with I = 0 is 2329 for k = 1 and 2230 for k = ...

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Analytical Evaluation Of Sensor Network Performance Using M/G/1 Queuing Model

Analytical Evaluation Of Sensor Network Performance Using M/G/1 Queuing Model

... network by taking channel contention into account using M/G/1 queuing model and the system performance in terms of average energy consumption and mean delay have been determined. We also compare the ...

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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

... In this article an M/G/1 queueing model with single server, Poisson input, k-phases of heterogeneous services and Ber- noulli feedback design has been considered. For this model, we derive the ...

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Reservicing some customers in M/G/1 queues under three disciplines

Reservicing some customers in M/G/1 queues under three disciplines

... In this note, we consider three alternatives for reservicing in a steady-state M/G/ 1 queue. These alternatives, denoted as disciplines I, II, and III, are described in Sections 3, 4, and 5. For each ...

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

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

... Kim and Lee (2014)[16] analysed an M/G/1 queueing system with disasters and working breakdowns. In this model it is assumed that the breakdown server is sent to repair facility and is replaced by a ...

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PERFORMANCE EVALUATION OF CLUSTER BASED WIRELESS SENSOR NETWORK USING M/G/1 QUEUING MODEL

PERFORMANCE EVALUATION OF CLUSTER BASED WIRELESS SENSOR NETWORK USING M/G/1 QUEUING MODEL

... In this work, we have proposed a new energy minimization scheme by which the average energy consumption of nodes that acts as cluster head in the sensor network is reduced based on queue threshold during its period of ...

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M/G/1 Vacation Queueing Systems with Server Timeout

M/G/1 Vacation Queueing Systems with Server Timeout

... an M/G/1 queue with general working ...GI/ M/1/N queue with working ...the M/M/1 queue with working ...an M/M/2 queueing system with heterogeneous ...

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

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

... An M (X) / G / 1 queue with server vacations has been studied in Lee in which the vacations are identically distributed and the main objective is the determination of optimal N-policy in addition to ...

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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

... called G queue was first introduced by Gelenbe (1989) with a view to modelling neural ...an M/G/1 retrial G queue with priority resume, Bernoulli vacation and server ...an ...

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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

... This paper clearly analyses a multi phase M/G/1 feedback queue with multiple server vacation.This service is advantageous to the customers. First service is essential, other services are optional. If ...

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The M/G/1 queueing model with preemptive random priorities

The M/G/1 queueing model with preemptive random priorities

... service when someone else arrives. Using the terminology of the previous section, he is the one, and only one, who has drawn a priority parameter 1. Likewise, from the point of view of the customers who possesses ...

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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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Time Dependent Solution of M^[X]/G/1 Queuing Model with Bernoulli Vacation and Balking

Time Dependent Solution of M^[X]/G/1 Queuing Model with Bernoulli Vacation and Balking

... Keywords Batch Arrival, Single server, Balking, Bernoulli vacation, Transient state solution, Steady state Analysis... service to get completed or by witnessing the long length of the qu[r] ...

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Microcontroller Based Over/Under Frequency Relay G. Girirajan 1, Dr. M. Rathinakumar2

Microcontroller Based Over/Under Frequency Relay G. Girirajan 1, Dr. M. Rathinakumar2

... Future aspects of this paper is to be mainly used in chemical industries, protection of transformers and generators in power system which might badly affected by[r] ...

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