An M/M/c Feedback Queuing System with Encouraged Arrivals

Som, Bhupender Kumar; Seth, Sunny

doi:10.5958/2231-0657.2017.00029.5

Cited by 8 publications

(11 citation statements)

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“…In this model, the customers arrive based on the Poisson distribution with rate (1 + η) and receive service which is exponentially distributed with a mean service time of µ from a single server and the capacity of the system is finite say, N [17].…”

Section: M/m/1/n Queue Modelmentioning

confidence: 99%

“…Due to the definition and assumption the following queue model computation are given. The possibility of system being empty is computed as follows [17]:…”

Section: M/m/1/n Queue Modelmentioning

confidence: 99%

“…The phenomenon of encouraged arrivals can also be understood as opposite to disheartened arrivals bring up by [16]. Explain the M/M/1/N queuing system with encouraged arrivals [17].…”

mentioning

confidence: 99%

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Economic Analysis of the M/M/1/N Queuing System Cost Model in a Vague Environment

Fazlollahtabar¹,

Gholizadeh²

2019

IJFIS

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In the real world, values are not always accurate, since vague and uncertain data exist in many applications. In this paper, a single-server finite capacity Markovian queuing system being called M/M/1/N with encouraged arrivals is considered. The different arrival rates, service rates and processing times of labor/duties are usually supposed to be uncertain. Therefore, we describe the theory of queuing in a vague environment in which encourage arrivals rates and service rates are considered to be vague numbers. Then, economic analysis of the model is presented by developing a cost model proceeding to exert uncertainty of the primary information when some of the parameters of the models are vague.

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Section: M/m/1/n Queue Modelmentioning

confidence: 99%

“…Due to the definition and assumption the following queue model computation are given. The possibility of system being empty is computed as follows [17]:…”

Section: M/m/1/n Queue Modelmentioning

confidence: 99%

See 1 more Smart Citation

Economic Analysis of the M/M/1/N Queuing System Cost Model in a Vague Environment

Fazlollahtabar¹,

Gholizadeh²

2019

IJFIS

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“…In case of a single server, substituting c = 1 in Model -4, it reduces to M/M/1/N queuing system with encouraged arrivals as discussed by Som and Seth, [4].…”

Section: Steady State Equations Of the Modelmentioning

confidence: 99%

“…The phenomenon of encouraged arrivals can also be understood as contrary to discouraged arrivals, as discussed by Kumar and Sharma [14]. Som and Seth [4] discussed a single-server queuing model with encouraged arrivals and performed a cost-profit analysis of the model. Further, Som [2] incorporated a queuing model with encouraged arrivals in the health-care management system with encouraged arrivals and discussed a single-server queuing system with encouraged arrivals and customer impatience.…”

Section: Introduction and Literature Surveymentioning

confidence: 99%

M/M/c/N queuing systems with encouraged arrivals, reneging, retention and feedback customers

Som

Seth

2018

YUGOSLAV J OPERATION

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Customers often get attracted by lucrative deals and discounts offered by firms. These, attracted customers are termed as encouraged arrivals. In this paper, we developed a multi-server Feedback Markovian queuing model with encouraged arrivals, customer impatience, and retention of impatient customers. The stationary system size probabilities are obtained recursively. Also, we presented the necessary measures of performance and gave numerical illustrations. Some particular, and special cases of the model are discussed.

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