Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units

Kumar, Praween; Sirohi, Anu

doi:10.5120/20522-2633

Cited by 3 publications

(3 citation statements)

References 8 publications

(5 reference statements)

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“…There has been a lot of work on systems with one main unit and one dissimilar unit added in parallel including Kumar & Sirohi [2015] and Singh & Poonia [2019]. There are some studies conducted on systems with three or more units including El-Damcese and Temraz [2012], Lado and Singh [2019], Singh et al [2020], Gehlot et al [2020] but in these studies all the units taken are identical.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Kadyan

Malik

Gitanjali³

2021

JRSS

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Here, stochastic analysis of a repairable system of three units has been carried out by taking one unit in operation (called main unit) and two identical units (called duplicate units) in cold standby. The switch device is used to convert the standby units into operative mode. A single server is hired to handle repair activities of the units who visits the system instantly whenever needed. The repair done by the server is perfect and thus the repaired unit follows the same lifetime distribution as the original. The constant failure rates are considered for both main and the duplicate units while their repair time distributions are taken as arbitrary. Some important reliability measures including mean sojourn times (MST), transition probabilities (TP), mean time to system failure (MTSF), availability, expected number of repairs for both kinds of units separately, expected number of visits by the server and busy period analysis of the server due to repair are determined using semi-Markov process (SMP) and regenerative point technique (RPT). The arbitrary values of the parameters are considered to examine the behaviour of some significant reliability measures through graphs. The possible application of the system model can be visualized in a power supply system of a house where a set of solar panels are kept in spare for their simultaneously working when main power supply is discontinued.

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Section: Introductionmentioning

confidence: 99%

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Kadyan

Malik

Gitanjali³

2021

JRSS

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“…Kumar and Sirohi [26] studied a k-out-of-n: G type of system with repair and without repair using the linear differential equation and regenerative point technique. Kumar and Sirohi [27] conferred on the reliability evaluation of a system having two units cold standby system for the delay in repairing the partially failed unit was truckled under regenerative point technique. Singh and Poonia [28] analyzed two units in a parallel configuration with correlated lifetime under inspection and regenerative point technique.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Singh

Ismail

Yusuf

et al. 2021

JRSS

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A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.

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“…Yusuf. I [28], Kumar [29,30] and Barak [31] have studied the reliability characteristics of complex systems consisting of the main unit with supporting unit and repair facility.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Two-Unit Parallel System with Correlated Lifetime under Inspection Using Regenerative Point Technique

Singh

Poonia

2019

Int J Reliabl Risk Safe Theory App

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This paper deals with the reliability analysis of a complex system consisting of a two dissimilar unit' in a parallel configuration with correlated lifetime distribution. The system stops functioning when both units stop working. Both units are inspected periodically as well as being examined before assigning to repair facility. Under consideration of the system have two states: Normal and failed. Regenerative point technique has been used for the mathematical formulation of the model. The system is analyzed using Laplace transforms to solve the mathematical equations. Reliability, Availability, MTSF, Busy Period of repairmen and Cost-effectiveness of the system has been computed. The computed results have been demonstrated by tables and graphs. The repair time of both the units follows the negative exponential distribution with different parameters in a joint probability density function. The inspection times are assumed to follow the general distribution. Some particular cases of the system have also been derived from seeing the practical importance of the model.

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Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units

Cited by 3 publications

References 8 publications

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Probabilistic Assessment of Two-Unit Parallel System with Correlated Lifetime under Inspection Using Regenerative Point Technique

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