Vacation Queueing Models Theory and Applications

Tian, Naishuo; Zhang, Zhe George

doi:10.1007/978-0-387-33723-4

Cited by 500 publications

(213 citation statements)

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“…The study of reneging within the class of queueing systems with vacations is a new endeavor. 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.…”

Section: Introductionmentioning

confidence: 99%

Synchronized reneging in queueing systems with vacations

2009

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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.

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Section: Introductionmentioning

confidence: 99%

Synchronized reneging in queueing systems with vacations

2009

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“…The time expires at time 2 t and the server initiates a busy period at that time with only one customer. During this busy period, customers 5 C and 6 C arrive and are served before the server commences another vacation. While the server is on vacation, customer 7 C arrives and activates the time.…”

Section: Nl Lmentioning

confidence: 99%

“…Several excellent surveys on these vacation models have been done by Doshi [2] [3], and the books by Takagi [4] and Tian and Zhang [5] are devoted to the subject. One of the most remarkable results for vacation queueing systems is the stochastic decomposition result, which is introduced by Fuhrmann and Cooper [6] and allows the system's behavior to be analyzed by considering separately the distribution of system (queue) size with no vacation and additional system size due to vacation.…”

Section: Introductionmentioning

confidence: 99%

M/G/1 Vacation Queueing Systems with Server Timeout

Ibe¹

2015

AJOR

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We consider a single-server vacation queueing system that operates in the following manner. When the server returns from a vacation, it observes the following rule. If there is at least one customer in the system, the server commences service and serves exhaustively before taking another vacation. If the server finds the system empty, it waits a fixed time c. At the expiration of this time, the server commences another vacation if no customer has arrived; otherwise, it serves exhaustively before commencing another vacation. Analytical results are derived for the mean waiting time in the system. The timeout scheme is shown to be a generalized scheme of which both the single vacation and multiple vacations schemes are special cases, with = ∞ c and = 0 c , respectively. The model is extended to the N-policy vacation queueing system.

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“…Vacation is slightly different from failure. While the latter is accidental, the former is scheduled and conscientiously undertaken [15]. It is a process governed by a policy that explicitly specifies: a. Staring rules: exhaustive when beginning vacation only if queue (system) is empty, otherwise it is non-exhaustive and can begin at any time.…”

Section: Service Typesmentioning

confidence: 99%

Towards a metamodel for extended queuing networks

Bourouis¹,

Belattar²

2012

Int. j. simul. model.

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This paper focuses on the development of EQNM 2 L which is an extended queuing modelling and markup language. We discuss the DSML metamodel and its XML-based exchange format which represent the cornerstone of the development process. EQNM 2 L enhances interoperability between a wide range of analytical solvers and simulation tools dealing with systems performance evaluation and based on the extended queuing theory. Furthermore, the Model Driven Engineering approach allows automatic generation of modelling environments and simulation/analytical codes which improve productivity and quality. Our aim is to induce discussion on and contributions for elaborating the whole metamodel and providing a starting point for the development of a standard inter-change format.

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Vacation Queueing Models Theory and Applications

Cited by 500 publications

References 0 publications

Synchronized reneging in queueing systems with vacations

Synchronized reneging in queueing systems with vacations

M/G/1 Vacation Queueing Systems with Server Timeout

Towards a metamodel for extended queuing networks

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