Traditionally, the redundancy allocation model has focused mainly on maximizing system reliability at a predetermined time.
The redundancy allocation problem is formulated with the objective of maximizing system reliability in the presence of common cause failures.
The MCAP is to assign more than one type of components to positions in a system with the objective of maximizing system reliability.
Previously, this problem has most often been formulated to maximize system reliability instead of a lower-bound on system time-to-failure.
In order to maximize system reliability, they further determine the redundancy strategy, either active or standby redundancy for each k-out-of-n subsystem from the traditional problems.
This paper presents a formulation for an optimal placement of switches and reclosers in a distribution system for maximizing system reliability while minimizing the associated investment and outage costs considering uncertainties in load data, system failure and repair rates.
Redundancy allocation problems (RAP) are an efficient approach for improving system reliability that generally involves the selection of components type and number of redundant components to maximize system reliability under certain constraints.
In particular, the cases of minimizing total cost subject to a constraint on system reliability, and maximizing system reliability subject to a budgetary constraint on overall cost have been modeled.
As already mentioned, the objective function of the RAP problem is maximizing system reliability under cost and weight constraints, and is generally formulated as follows: begin{aligned} &hbox{max},Rleft( {t,z,n} right) &{text{s}}.
Thus, the problem involves the simultaneous selection of component type, redundancy level, and the best redundancy strategy for each subsystem to maximize system reliability subject to budget and weight constraints.
