A Cost-Based Availability Allocation Algorithm

This paper develops a cost-based procedure for allocating the availability parameters (repair times and failure rates) to the various components that make up a system. The allocation is handled as a cost minimization problem, subject to the constraint of meeting a system availability requirement. The problem is solved using Lagrange multipliers and an example is stated and solved. This technique is applicable in the early stages of system design to determine the detailed component availability specifications (repair times and failure rates) that will allow a system requirement to be met. Furthermore, the technique is useful in the latter stages of system design when initial specifications have fallen short of the required goal, and modifications and improvements are required. The technique points out the problem components and defines the amount of improvement necessary.