Integrated reliability model for redundant systems with multiple constraints

The Integrated Reliability Models for Redundant Systems with multiple constraints for one mathematical function is established by applying Lagrangean approach, the related case problem is presented to find the component reliabilities (rj), the number of components in each stage (xj), stage reliability (Rj) and the System Reliability (Rs). The Lagrangean approach which is an effective procedure has got certain limitations in the sense that the number of components in each stage will be given only in real numbers, which is infeasible for implementation to real life problems. The purpose of this Paper is to optimize a class of Integrated Reliability Model for Redundant Systems with Cost and Weight as additional constraints apart from basic cost constraint. By taking the mathematical function rj = (cj/bj)1/dj the optimum component reliability, stage reliability, the number of components in each stage and the system reliability are determined after taking the pre-determined values of Cost, and Weight. In this work, an attempt is made to develop an integrated reliability redundant model for a Series – Parallel configuration subject to the multiple constraints. Generally reliability is treated as the function of Cost but in any given practical situation apart from cost, other constraint like Weight will have hidden impact on the reliability of the system. In this model the Lagrangean technique is implemented to determine the Cost and Weight as constraints. The model has yielded very encouraging results and it can be applied to any type of system, simple or complex. The advantage of this model is very flexible and requires little processing time.