The busy period of an M/M/1 queue with balking and reneging

Ammar, Sherif I.; Helan, Mahmoud M.; Amri, Faizah T. Al

doi:10.1016/j.apm.2013.04.023

Cited by 16 publications

(3 citation statements)

References 13 publications

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“…Formulas for the performance metrics of systems with exponential abandonment times are included in Wang and Bin [10] and Sasanuma and Scheller-Wolf [11]. Nasrallah [12] studies the impact of priority policies on performance metrics; Ammar et al [13] apply generating functions to obtain the probability density function of the number of customers in the queue and Xiong et al [14] use Volterra integrals to analyze queues with deterministic reneging times. Finally, Wu and Ke [15], Dimou et al [16] and Economou et al [17] address systems where servers go into idle periods, affecting customer reneging behavior and Pazgal and Radas [18] describe an empirical study to validate predictions about the actual behavior of customers deserting the queue.…”

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confidence: 99%

A Decision-Analytic, Simulation Based Management Model for a Two-Shifts Queue System With Customer Reneging

Luis Chew Hernández,

Viveros Rosas,

Velázquez Romero

2023

JEMIS

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This paper shows a management model for a queuing system operating two shifts and where client reneging is present. The model provides the optimal active server policy considering lost clients and cost. Using influence diagrams and decision trees, the proposed model implements a Bayesian scheme to update the initial knowledge in response to the observed number of lost customers in the first shift. In addition, a utility function is used to represent the preferences of the decision-maker and simulation to determine the consequences and probabilities of the trees. The results are displayed as the number of active servers recommended for each shift, according to the preferences of the decision-maker and the clients lost in the first shift. For the case study, it is found that if the weight for the number of lost clients in the utility function (kNL) is less than 0.63, a single server should be used in both shifts, while when kNL is greater than said value, the first shift opens one server, while a second one is activated for the next shift depending on the number of lost clients in the first shift.

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Section: *Corresponding Author Emailmentioning

confidence: 99%

A Decision-Analytic, Simulation Based Management Model for a Two-Shifts Queue System With Customer Reneging

Luis Chew Hernández,

Viveros Rosas,

Velázquez Romero

2023

JEMIS

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“…In [10], author derives the transient solution of a correlated input queuing system with catastrophic and restorative effects facing customers' impatience. The busy period of a single server Markovian queuing system is obtained in [1] by employing probability generating function technique. In [2], the transient solution of a two-heterogenous servers queue with impatient customers is obtained.…”

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confidence: 99%

Transient and steady-state analysis of a queuing system having customers’ impatience with threshold

2019

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In many practical queuing situations reneging and balking can only occur if the number of customers in the system is greater than a certain threshold value. Therefore, in this paper we study a single server Markovian queuing model having customers’ impatience (balking and reneging) with threshold, and retention of reneging customers. The transient analysis of the model is performed by using probability generating function technique. The expressions for the mean and variance of the number of customers in the system are obtained and a numerical example is also provided. Further the steady-state solution of the model is obtained. Finally, some important queuing models are derived as the special cases of this model.

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“…Discouragement AuthorsReneging Madheswari et al[38], Yang et al[68], Ammar et al[91], Jain et al[112], Maheshwari et al[145]. Geometric Reneging Shekhar et al[41], Shekhar et al[43], Dimou and Economou[92].Balking Ammar et al[91], Jain et al[112].…”

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confidence: 99%

A survey on queues in machining system: Progress from 2010 to 2017

et al. 2017

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The aim of the present article is to give a historical survey of some important research works related to queues in machining system since 2010. Queues of failed machines in machine repairing problem occur due to the failure of machines at random in the manufacturing industries, where different jobs are performed on machining stations. Machines are subject to failure what may result in significant loss of production, revenue, or goodwill. In addition to the references on queues in machining system, which is also called 'Machine Repair Problem' (MRP) or 'Machine Interference Problem' (MIP), a meticulous list of books and survey papers is also prepared so as to provide a detailed catalog for understanding the research in queueing domain. We have classified the relevant literature according to a year of publishing, methodological, and modeling aspects. The author(s) hope that this survey paper could be of help to learners contemplating research on queueing domain.

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The busy period of an M/M/1 queue with balking and reneging

Cited by 16 publications

References 13 publications

A Decision-Analytic, Simulation Based Management Model for a Two-Shifts Queue System With Customer Reneging

A Decision-Analytic, Simulation Based Management Model for a Two-Shifts Queue System With Customer Reneging

Transient and steady-state analysis of a queuing system having customers’ impatience with threshold

A survey on queues in machining system: Progress from 2010 to 2017

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