The Use of Lagrangian Multipliers for Optimum Reliability Allocation
ARMY MATERIEL COMMAND TEXARKANA TX INTERN TRAINING CENTER
Pagination or Media Count:
The paper develops a method to allocate reliability to system elements where a system reliability requirement must be met or a total cost constraint is imposed. Parallel and serially arranged elements are considered with each elements probability density function of time to failure being approximated by the two parameter Weibull distribution. The problem is approached as a minimization of total system cost or system unreliability and Lagrange multipliers prove to be useful as a solution technique. A cost function is developed to relate the cost of and element to the reliability level achieved in that element. Both the elements cost function and reliability expression must be continuous variables. Numerical examples are shown for each allocation model.
- Manufacturing and Industrial Engineering and Control of Production Systems
- Logistics, Military Facilities and Supplies