Single-Server Queues With State-Dependent Feedback

d'Avignon, Gilles R.; Disney, Ralph L.

doi:10.1080/03155986.1976.11731627

Cited by 16 publications

(10 citation statements)

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“…Those, attracted customers are termed as encouraged arrivals in this paper. 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.…”

Section: Introduction and Literature Surveymentioning

confidence: 99%

“…Feedback in queuing system is studied rigorously by researchers such as Takacs [17], who studied the queue with feedback to determine the stationary process for the queue size and the first two moments of the distribution function of the total time a customer spent in the system. Davignon and Disney [14] studied single server queues with state dependent feedback. Santhakumaran and Thangaraj [1] considered a single server feedback queue with impatient customers.…”

Section: Introduction and Literature Surveymentioning

confidence: 99%

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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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Section: Introduction and Literature Surveymentioning

confidence: 99%

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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“…Several well-known contributions (D'Avignon and Disney, 1976;Pekö z and Joglekar, 2002;Takà cs, 1963) consider the situation arising when the decision between the choices (i) and (ii) is taken randomly. When this is the case, by imposing a stationary flow balance (i.e.…”

Section: Single Feedback Loop -Siphon Dynamicsmentioning

confidence: 99%

Circulation of autonomous agents in production and service networks

Gallay

Hongler

2009

International Journal of Production Economics

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a b s t r a c tThe inherent complexity characterizing production and/or service networks strongly favors decentralized and self-organizing mechanisms to regulate the flows of matter and information in circulation. This basic observation motivates us to study the flow dynamics in queueing networks roamed by autonomous agents which, at a given time and at a given vertex location, select their routing according to (individual) historical data (such as waiting times) collected during their past progression in the network. For several simple network configurations and despite the intrinsically non-Markovian character of the dynamics, we are able to discuss analytically the emerging collective dynamics that such a circulation of autonomous agents generates. Feedback loops in the network topology coupled with the presence of delays in the routing selection mechanisms produce a wealth of dynamical phenomena like self-sustained generically stable oscillations, spatio-temporal patterns, stabilization by noise phenomena and oscillator synchronization that are explicitly discussed in this paper.

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“…He studies queue with feedback to determine the stationary process for the queue size and the first two moments of the distribution function of the total time spent in the system by a customer. Davignon and Disney [6] [14], the related work on customer retention and its application is in [16], [17].…”

Section: Literature Surveymentioning

confidence: 99%

M/D/1 Feedback Queueing Models with Retention of Reneged Customers

2016

IJSR

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Every organization is facing the problem of customer impatience. Customer retention is the key issue in this context.Organizations are applying strategies to sustain their businesses. An impatient customer (due to reneging) may be convinced to stay in service system for his service by utilizing certain convincing mechanisms. Such customers are termed as retained customers. Queueing with feedback represents customer dissatisfaction because of unsuitable quality of service. In case of feedback, after getting partial or incomplete service, customer retries for service. Customer Retention is incorporated in a single-server Markovian feedback queueing model. The steady-state solution of the models is derived. Some useful measures of performance are derived. A particular case of the model is discussed.

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Single-Server Queues With State-Dependent Feedback

Cited by 16 publications

References 1 publication

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

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

Circulation of autonomous agents in production and service networks

M/D/1 Feedback Queueing Models with Retention of Reneged Customers

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