Abstract This paper is concerned with the optimal number of redundant allocation to n -component coherent systems consisting heterogeneous dependent components. We assume that system built up L groups different components, $L\geq 1$ , where there are $n_i$ components in group i and $\sum_{i=1}^{L}n_i=n$ . The problem interest allocate $v_i$ active each component type $i=1,\dots, L$ To get value...

A simple computational procedure has been developed by using Monte Carlo for allocating redundancy among subsystems so as to achieve maximum reliability of a complex systems subjected to multiple constraints which may be linear, non linear separable or non separable. Two examples of linear, non linear separable and non separable constraints with having twenty problems are solved.

The reliability design is related to the performance analysis of engineering systems. The reliability redundancy optimization problems involve selection of components with multiple choices and redundancy levels that produce maximum benefits, can be subject to the cost, weight, volume and reliability constraints. Classical mathematical methods fail in handling non-convexities and nonsmoothness i...

Previous research on the redundancy allocation problem for series-parallel systems has focused on deterministic versions where component reliability is assumed to be an exact value. This paper discusses alternative formulations which allow system reliability and mean time to failure to be treated as random variables. Stochastic formulations allow for explicit consideration of risk aversion, and...

One of the primary concerns in any system design problem is to prepare a highly reliable system with minimum cost. One way to increase the reliability of systems is to use redundancy in different forms such as active or standby. In this paper, a new nonlinear multi- objective integer programming model with the choice of redundancy strategy and component type is developed where standby strategy ...