On the transient behaviour of a repairable system with a warm standby

Reliability modelling and analysis of a two unit continuous casting plant

“…and c.d.f. of reconditioning/reinstallation time of unit I l 2 Failure rate of either crane of unit II p 4 Probability of repairable failure of unit II p 5 Probability of replaceable failure of unit II p 6 Probability of reconditioning/reinstallation failure of unit II Symbol for Laplace convolution circledS; Symbol for Stieltje's convolution h(t), H(t) p.d.f. and c.d.f.…”

“…It is therefore, essential to keep the plant in continuous operation without any trouble. Reliability models and its analysis for different types of industrial systems have been widely discussed under various assumptions and operating conditions by number of researchers [2][3][4][5][6][7][8][9]. Recently, Rizwan et al [1] extended the modeling methodology to a single unit PLC controlled system and the related reliability indices along with profit incurred to the system are obtained.…”

“…Cost per unit uptime for which the repairman is busy for replaceable failure C 4 Cost per unit uptime for which the repairman is busy for reconditioning/ reinstallation failure C 5 Cost per visit of repairman C 6 Cost per unit repair C 7…”

Non‐Markovian State‐Space Models in Dependability Evaluation

“…The resultant set of ordinary or partial differential equations can be defined together with boundary conditions and analyzed. The supplementary variables approach has been successfully applied to the solution of queuing models, [41][42][43] dependability models, [44][45][46][47][48][49][50][51] and stochastic Petri net models. 25,33,34,[52][53][54][55] Details of this approach are beyond the scope of this paper.…”