This paper deals with computational algorithms for obtaining the optimal stationary policy and the minimum cost of a discounted semi-Markov decision process. Van Nunen [23) has proposed a modified policy iteration algorithm with a suboptimality test of MacQueen type, where the modified policy iteration algorithm is policy iteration method with the policy evaluation routine by a finite number of...

The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The ob...

in this paper, we implemented the modified iteration perturbation method (mipm) for approximating the periodic behavior of a tapered beam. this problem is formulated as a nonlinear ordinary differential equation with linear and nonlinear terms. the solution is quickly convergent and does not need to complicated calculations. comparing the results of the mipm with the exact solution shows that t...

and Applied Analysis 3 where {an}, {bn}, {αn} are appropriate sequences in 0, 1 . The theory of three-step iterative scheme is very rich, and this scheme, in the context of one or more mappings, has been extensively studied e.g., see Khan et al. 6 , Plubtieng and Wangkeeree 7 , Fukhar-ud-din and Khan 5 , Petrot 13 , and Suantai 14 . It has been shown in 15 that three-step method performs better...