Optimization of IRM - Parallel-Series Redundant System
Issue: Vol.4 No.1
Authors:
P. Sasikala (Rayalaseema University, Kurnool)
A. Sridhar (Rayalaseema University, Kurnool)
S. Pavan Kumar (Rayalaseema University, Kurnool)
Y. Raghunatha Reddy (Rayalaseema University, Kurnool)
G. Sankaraiah (Rayalaseema University, Kurnool)
C. Umashankar (Rayalaseema University, Kurnool)
Keywords: Integrated Reliability Model (IRM), Parallel-Series Redundant System, Lagrangean Multiplier method.
Abstract:
An Integrated Reliability Model (IRM) for the parallel series redundant system considers both the unknowns i.e. the Component Reliabilities and the Number of Components in each stage for given constraints to maximize the System Reliability. Integrated Reliability Model for a Redundant System by treating Weight and Volume as additional constraints apart from the conventional Cost constraint to optimize the System Reliability, to negotiate the hidden impact of the additional constraints Weight and Volume. Integrated Reliability Model for a Parallel – Series Redundant System is proposed by applying the Lagrangean Multiplier Method to find out the number of Components, Component Reliabilities, Stage Reliabilities to optimize System Reliability and as these values are found to be in real, to derive an integer solution the Dynamic Programming Method is applied to obtain an integer solution.
References:
1. Balaguruswamy E. 2002.Reliability engineering –Tata McGraw Hill, New Delhi.
2. Aggarwal, K.K., Gupta J.S. 1975. On minimizing the cost of reliable systems, IEEE Transactions on Reliability, Vol.R-24,No.3.W.
3. Way Kuo and Rajendra Prasad. V. (2000). “An annotated review of system reliability optimization,” IEEE Transactions on Reliability, 49, (2), pp. 176–187.
4 M.S. Chern, R.H. Jan, “Reliability Optimization Problems with Multiple Constraints”, IEEE Transactions On Reliability, Vol. R35, Oct 1986, Pp 431 – 436.
5 Shuming Wang & Junzo Watada (2009) presented a Redundancy Allocation Modelling problem for the Fuzzy Random Parallel-Series system and presented the Redundancy allocation.
6. K.B. Misra (1971) formulated the Redundancy allocation problems using Dynamic Programming Approach.
7. C.F.WoodHouse (1972) also used Dynamic Programming Approach for Optimal Redundancy allocation.
8. K.B. Misra and U. Sarma (1991) suggested multi criteria optimization for combined reliability and redundancy allocation in systems employing mixed redundancies. D. Li and YY Haimes (1992) developed a decomposition method for optimization of large system reliability