本斫究引用Banach’s定點理論，證明「完全性觀察且隨機性維設」最佳式，存在唯一解；並 以迷績趨近與政策反復等兩種演算法，說明此一最佳値函 數之演算過程。同時，建構線性規畫問題 ，以利求解最佳値數數。

We show the existence of a unique solution to the optimality equation for the stochastic multiaction maintenance under Markovian deterioration with completely observable state by means of Banach's fixed point theorem. Two familiar algorithmic implementations of computational procedures, successive approximations and policy iteration are demonstrated and the well-known linear programming problem is also constructed for the optimal value function.