Heuristic methods applied to optimal system reliability. Dynamic programming applied to optimal system reliability. Discrete maximum principle applied to optimal system reliability. Sequential unconstrained minimisation techniques. Generalised reduced gradient method. Mwthod of Lagrangian multipliers & Kuhn-Tucker conditions applied to optimal system reliability. Generalized Lagrangian function. Geometric and integer programming methods applied to optimal system reliability Other methods to system reliability optimization problems. Determination of component reliability & redundancy for optimum system reliability.