Queues with system disasters and impatient customers when system is down

Yechiali, Uri

doi:10.1007/s11134-007-9031-z

Cited by 122 publications

(71 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Although, there exists a significant number of papers and books on vacation queueing systems (see, e.g., Takagi (1991) and Tian and Zhang (2006)), the reneging feature has not yet received much attention. Only recently, Altman and Yechiali (2006) and Yechiali (2007) considered systems with vacations, where the source of the impatience is the absence of the server. The authors assume that the customers perform independent abandonments, whenever the server is unavailable.…”

Section: Introductionmentioning

confidence: 99%

Synchronized reneging in queueing systems with vacations

2009

View full text Add to dashboard Cite

In this paper we present a detailed analysis of queueing models with vacations and impatient customers, where the source of impatience is the absence of the server. Instead of the standard assumption that customers perform independent abandonments, we consider situations where customers abandon the system simultaneously. This is, for example, the case in remote systems where customers may decide to abandon the system, when a transport facility becomes available.

show abstract

Section: Introductionmentioning

confidence: 99%

Synchronized reneging in queueing systems with vacations

2009

View full text Add to dashboard Cite

show abstract

“…Montazer-Hagighi et al [29], Abou-El-Ata and Hariri [3], Falin and Artalejo [13], Boots and Tijms [8], and Zohar et al [45] studied and analyzed some multi-server queuing systems with balking and reneging. Yechiali [44] studied customer impatience in Markovian queuing systems with disaster and repair. He performed a steady-state analysis of these mod-els.…”

Section: Literature Reviewmentioning

confidence: 99%

A transient solution to the M/M/c queuing model equation with balking and catastrophes

Kumar

2017

Croat. Oper. Res. Rev.

View full text Add to dashboard Cite

Abstract. In this paper, we consider a Markovian multi-server queuing system with balking and catastrophes. The probability generating function technique along with the Bessel function properites is used to obtain a transient solution to the queuing model. The transient probabilities for the number of customers in the system are obtained explicitly. The expressions for the time-dependent expected number of customers in the system are also obtained. Finally, applications of the model are also discussed.

show abstract

“…Queueing models with system disasters and impatient customers when system is down have been studied in Yechiali [11]. Altman and Yechiali [12] considered the impatience of customers only when the servers are on vacation and unavailable for service.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Impatient Customers in Queues with Bernoulli Schedule Working Vacations and Vacation Interruption

Goswami

2014

Journal of Stochastics

View full text Add to dashboard Cite

This paper analyzes customers' impatience in Markovian queueing system with multiple working vacations and Bernoulli schedule vacation interruption, where customers' impatience is due to the servers' vacation. During the working vacation period, if there are customers in the queue, the vacation can be interrupted at a service completion instant and the server begins a regular busy period with probability 1 − or continues the vacation with probability . We obtain the probability generating functions of the stationary state probabilities and deduce the explicit expressions of the system sizes when the server is in a normal service period and in a Bernoulli schedule vacation interruption, respectively. Various performance measures such as the mean system size, the proportion of customers served, the rate of abandonment due to impatience, and the mean sojourn time of a customer served are derived. We obtain the stochastic decomposition structures of the queue length and waiting time. Finally, some numerical results to show the impact of model parameters on performance measures of the system are presented.

show abstract

Queues with system disasters and impatient customers when system is down

Cited by 122 publications

References 18 publications

Synchronized reneging in queueing systems with vacations

Synchronized reneging in queueing systems with vacations

A transient solution to the M/M/c queuing model equation with balking and catastrophes

Analysis of Impatient Customers in Queues with Bernoulli Schedule Working Vacations and Vacation Interruption

Contact Info

Product

Resources

About