Cost Analysis of an Engineering System Involving Subsystems in Series Configuration

Singh, V. V.; Ram, Mangey; Rawal, D. K.

doi:10.1109/tase.2013.2266134

Cited by 31 publications

(15 citation statements)

References 12 publications

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“…Solution of the Model Taking Laplace transformation of equations (1)- (19) and using equation with help of initial condition, P 0 (0)=1, one can obtain. …”

Section: Formulation and Solution Of Mathematical Modelmentioning

confidence: 99%

Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

Singh¹,

Rawal²

2014

Pak.j.stat.oper.res.

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In the present paper authors have focused on the study of complex system consisting two subsystems, in series configuration and handling by a human operator. The subsystem (1) has three units at super priority, priority and ordinary & the subsystem (2) has one unit in series configuration with the subsystem-1. The whole system is operated by a human operator and human failure can also appear at different state where system is in operational mode. Initially super priority unit starts function and failure during of super priority unit the priority unit start functioning and super priority unit goes under repair. The primitive resume repair policy is employed for repair of subsystem-1. The all failure rates are assumed to constants and follow exponential distribution but repair follow general and Gumbel-Hougaard family copula distribution. The system is studied by supplementary variable technique and Laplace transform. Various measure of reliability such as availability, state transition probabilities, mean time to system failure(M.T.T.F) and profit function has been discussed for available maintenance cost for all time and profit incurred by unit time for given interval. Some particular cases have been discussed for different values of different rates.

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“…Solution of the Model Taking Laplace transformation of equations (1)- (19) and using equation with help of initial condition, P 0 (0)=1, one can obtain. …”

Section: Formulation and Solution Of Mathematical Modelmentioning

confidence: 99%

Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

Singh¹,

Rawal²

2014

Pak.j.stat.oper.res.

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“…Singh and Poonia [28] analyzed two units in a parallel configuration with correlated lifetime under inspection and regenerative point technique. Singh et al [29] analyzed a system that comprised the two subsystems in a series arrangement with a human failure controller. The configuration consisting of the first subsystem working policy k-out-ofn: G policy and the second subsystems containing three identical units with uniform failure rates.…”

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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“…Singh et al (2016) examined the performance analysis of complex systems in series configuration under different failure and repair disciplines using copula. Singh, Ram and Rawal (2013) evaluated the cost analysis of an engineering system involving two subsystems in series configuration. Singh, Singh, Ram and Goel (2013) discussed availability, MTTF and cost analysis of a system having two units in series configuration with a controller.…”

Section: Introductionmentioning

confidence: 99%

Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula

Lado

Singh

2019

IJQRM

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Purpose The purpose of this paper is to covenant with the cost assessment of a complex repairable system, consisting of two subsystems (Subsystem 1 and Subsystem 2) connected in series configuration and being operated by a human operator. Each subsystem has two identical units in parallel configuration and has different types of failure and two types of repairs (general repair and copula repair). Through the transition diagram, the system of first-order partial differential equations is derived and solved using a supplementary variable technique, Laplace transforms. All failures are assumed to follow exponential distribution, whereas repairs follow two types of distributions that are general and Gumbel–Hougaard family copula. In this paper, explicit expressions for reliability, availability, mean time to failure (MTTF) and cost analysis functions have been obtained. In this paper, two types of repairs (copula repair and general repair) have been studied, and it has been concluded that copula repair is more reliable as compared to general repair. Some computations are taken as particular case by evaluating: reliability, availability, MTTF and cost analysis, so as to capture the effect of both failure and repair rates to reliability measures. The results have been shown in tables and graphs. The convincing part has been discussed in last section of this study. Design/methodology/approach This paper is focused on the cost assessment of a system consisting two subsystem series configuration. Each subsystem has two identical units in parallel configuration. The performance of the system has been analyzed by supplementary variable techniques and Laplace transforms. Various measures of the reliability have been discussed by evaluations. Software called Maple 13 is used for computations. Findings In this research paper, the authors have evaluated the operational cost and incurred profit of the system together with other reliability measures for various situations and different types of failures and two types of repairs using Gumbel–Hougaard family copula distribution. Research limitations/implications The present research focuses on the series and parallel configured complex systems that is used everywhere in industry and other sectors. The authors main aim is to claim that repair through the joint probability distribution copula is far better than general repair. Copula repair for a completely failed system is more beneficial for industrial system operations that will increase profit to the industrial sector. Practical implications The authors have observed that when repair follows general distribution the values of reliability obtained of the system are less compared to the those obtained when the authors apply copula repair, a joint probability distribution. It is a clear implication for industrial sector and organization to use the policy for a better generate revenue. Social implications According to the best of authors’ knowledge, there is no social implication as this study is meant for reliability section. The study in management and case study matters is considered to have social implication. Originality/value This research is the original work of authors. Nothing has been copied from any paper or book. The references are cited according to the relevance of study.

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Cost Analysis of an Engineering System Involving Subsystems in Series Configuration

Cited by 31 publications

References 12 publications

Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

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

Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula

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