Discounted cost criterion for imperfect maintenance

1979 ◽  
Vol 11 (2) ◽  
pp. 304-304
Author(s):  
P. K. W. Chan ◽  
T. Downs
Keyword(s):  
Imperfect Maintenance ◽  
Discounted Cost ◽  
Cost Criterion ◽  
Discounted Cost Criterion

Zero-sum risk-sensitive stochastic differential games with reflecting diffusions in the orthant

2020 ◽  
Vol 26 ◽  
pp. 114
Author(s):  
Mrinal Kanti Ghosh ◽  
Somnath Pradhan
Keyword(s):  
Saddle Point ◽  
Infinite Horizon ◽  
Evaluation Criteria ◽  
Cost Evaluation ◽  
Stochastic Representation ◽  
Discounted Cost ◽  
Cost Criterion ◽  
Risk Sensitive ◽  
Zero Sum ◽  
Ergodic Cost

We study zero-sum games with risk-sensitive cost criterion on the infinite horizon where the state is a controlled reflecting diffusion in the nonnegative orthant. We consider two cost evaluation criteria: discounted cost and ergodic cost. Under certain assumptions, we establish the existence of saddle point equilibria. We obtain our results by studying the corresponding Hamilton–Jacobi–Isaacs equations. For the ergodic cost criterion, exploiting the stochastic representation of the principal eigenfunction, we have completely characterized saddle point equilibrium in the space of stationary Markov strategies.

Availability analysis and maintenance optimization for multiple failure mode systems considering imperfect repair

2021 ◽  
pp. 1748006X2110127
Author(s):  
Qingan Qiu ◽  
Baoliang Liu ◽  
Cong Lin ◽  
Jingjing Wang
Keyword(s):  
Failure Modes ◽  
Maintenance Cost ◽  
Imperfect Maintenance ◽  
Maintenance Policy ◽  
Cost Rate ◽  
Availability Analysis ◽  
Long Run ◽  
Optimal Maintenance ◽  
Maintenance Policies ◽  
Periodic Inspections

This paper studies the availability and optimal maintenance policies for systems subject to competing failure modes under continuous and periodic inspections. The repair time distribution and maintenance cost are both dependent on the failure modes. We investigate the instantaneous availability and the steady state availability of the system maintained through several imperfect repairs before a replacement is allowed. Analytical expressions for system availability under continuous and periodic inspections are derived respectively. The availability models are then utilized to obtain the optimal inspection and imperfect maintenance policy that minimizes the average long-run cost rate. A numerical example for Remote Power Feeding System is presented to demonstrate the application of the developed approach.

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