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

Shekhar, Chandra; Raina, Anupuma; Kumar, Amit; Iqbal, Javed

doi:10.2298/yjor161117006r

Cited by 21 publications

(9 citation statements)

References 37 publications

(42 reference statements)

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“…Some systematic surveys on fault tolerance in computing environment were done in the past (cf. Beheshti and Worley, 1995; Saraswat and Yadava, 2008; Shekhar et al , 2017a, d; Hasan and Goraya, 2018; Hasan and Amin, 2019).…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of computing system with reboot and recovery delay

Shekhar

Gupta

Jain

et al. 2020

IJQRM

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PurposeThe purpose of this paper is to present a sensitivity analysis of fault-tolerant redundant repairable computing systems with imperfect coverage, reboot and recovery process.Design/methodology/approachIn this investigation, the authors consider the computing system having a finite number of identical working units functioning simultaneously with the provision of standby units. Working and standby units are prone to random failure in nature and are administered by unreliable software, which is also likely to unpredictable failure. The redundant repairable computing system is modeled as a Markovian machine interference problem with exponentially distributed failure rates and service rates. To excerpt the failed unit from the computing system, the system either opts randomized reboot process or leads to recovery delay.FindingsTransient-state probabilities have been determined with which the authors develop various reliability measures, namely reliability/availability, mean time to failure, failure frequency, and so on, and queueing characteristics, namely expected number of failed units, the throughput of the system and so on, for the predictive purpose. To spectacle the practicability of the developed model, a numerical simulation, sensitivity analysis and so on for different parameters have also been done, and the results are summarized in the tables and graphs. The transient results are helpful to analyze the developing model of the system before having the stability of the system. The derived measures give direct insights into parametric decision-making.Social implicationsThe conclusion has been drawn, and future scope is remarked. The present research study would help system analyst and system designer to make a better choice/decision in order to have the economical design and strategy based on the desired mean time to failure, reliability/availability of the systems and other queueing characteristics.Originality/valueDifferent from previous investigations, this studied model provides a more accurate assessment of the computing system compared to uncertain environments based on sensitivity analysis.

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Section: Introductionmentioning

confidence: 99%

Transient analysis of computing system with reboot and recovery delay

Shekhar

Gupta

Jain

et al. 2020

IJQRM

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“…The prime errands of the monitoring system are to detect the fault in the redundant machining system, isolation, reconfiguration so as to prevent a failed unit from adversely affecting the system’s ongoing performance. The notable research works on Markovian/non-Markovian modeling of MRP have been done in the past (Haque and Armstrong, 2007; Shekhar et al , 2017c). Active and standby redundancy revelation an important role in increasing the availability of the fault-tolerant redundant repairable system.…”

Section: Introductionmentioning

confidence: 99%

“…Using Probabilistic Global Search Lausanne method, an optimal number of standby units is determined by Ke et al (2016) for a fault-tolerant system with standby switching failure for achieving the minimum operating cost. Shekhar et al (2017a), Shekhar et al (2017b) and Shekhar et al (2017c) used the concept of switching failure and geometric reneging in machine interference problem with standby provisioning for performance modeling and reliability analysis. Fazlollahtabar et al (2018) estimated the required number of robots consisting of some non-repairable components, by using a renewal model, to assure the availability of standby autonomous robots for reducing and preventing downtimes of advanced production systems.…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant redundant repairable system with different failures and delays

Shekhar

Kumar

Varshney

et al. 2019

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Purpose The internet of things and just-in-time are the embryonic model of innovation for the state-of-the-art design of the service system. This paper aims to develop a fault-tolerant machining system with active and standby redundancy. The availability of the fault-tolerant redundant repairable system is a key concern in the successful deployment of the service system. Design/methodology/approach In this paper, the authors cogitate a fault-tolerant redundant repairable system of finite working units along with warm standby unit provisioning. Working unit and standby unit are susceptible to random failures, which interrupt the quality-of-service. The system is also prone to common cause failure, which tends its catastrophe. The instantaneous repair of failed unit guarantees the increase in the availability of the unit/system. The time-to-repair by the single service facility for the failed unit follows the arbitrary distribution. For increasing the practicability of the studied model, the authors have also incorporated real-time machining practices such as imperfect coverage of the failure of units, switching failure of standby unit, common cause failure, reboot delay, switch over delay, etc. Findings For deriving the explicit expression for steady-state probabilities of the system, the authors use a supplementary variable technique for which the only required input is the Laplace–Stieltjes transform (LST) of the repair time distribution. Research limitations/implications For complex and multi-parameters distribution of repair time, derivation of performance measures is not possible. The authors prefer numerical simulation because of its importance in the application for real-time uses. Practical implications The stepwise recursive procedure, illustrative examples, and numerical results have been presented for the diverse category of repair time distribution: exponential (M), n-stage Erlang (Ern), deterministic (D), uniform (U(a,b)), n-stage generalized Erlang (GE[n]) and hyperexponential (HE[n]). Social implications Concluding remarks and future scopes have also been included. The studied fault-tolerant redundant repairable system is suitable for reliability analysis of a computer system, communication system, manufacturing system, software reliability, service system, etc. Originality/value As per the survey in literature, no previous published paper is presented with so wide range of repair time distribution in the machine repair problem. This paper is valuable for system design for reliability analysis of the fault-tolerant redundant repairable.

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“…Our results can be treated as performance evaluation tools for the concerned system, which may be suited to many congestion situations arising in many practical applications encountered in various fields, such as call center, communication and telecommunication systems, manufacturing system, and computer science. () To highlight the practical importance and tractability of the model under consideration, numerical simulation has been done by taking the suitable illustration.…”

Section: Introductionmentioning

confidence: 99%

Q‐matrix method for the analysis and performance evaluation of unreliable M/M/1/N queueing model

Afroun

Aı̈ssani

Hamadouche

et al. 2018

Math Methods in App Sciences

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In this work, we study an M∕M∕1∕N queuing system with multiple vacations, Bernoulli feedback, balking, reneging and retention of the impatient customers, and the possibility of a server breakdown and repair. First, by using the Q-matrix (infinitesimal generator matrix) method, we obtain the steady-state probabilities of the system. Then, some useful performance measures are derived. Finally, the influence of the reliability parameters on the performance measures of the system has been examined numerically.

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

Cited by 21 publications

References 37 publications

Transient analysis of computing system with reboot and recovery delay

Transient analysis of computing system with reboot and recovery delay

Fault-tolerant redundant repairable system with different failures and delays

Q‐matrix method for the analysis and performance evaluation of unreliable M/M/1/N queueing model

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