one major branch in mathematical sciences, which recently has been given especial attention, is optimization, including various methods such as linear programming, integer programming, and dynamic programming. due to the unique characteristics of air treatment systems, specifically multistage nature of such systems, dynamic programming has been widely applied. the purpose of this paper is to fi...

In open-pit mine planning, the design of the most profitable ultimate pit limit is a prerequisite to developing a feasible mining sequence. Currently, the design of an ultimate pit is achieved through a computer program in most mining companies. The extraction of minerals in open mining methods needs a lot of capital investment, which may take several decades. Before the extraction, the p...

the dynamic facility layout problem (dflp) is the problem of finding positions of departments onthe plant floor for multiple periods (material flows between departments change during the planning horizon)such that departments do not overlap, and the sum of the material handling and rearrangement costs isminimized. in this paper a new optimization algorithm inspired from colonizing weeds, invasi...

Evolutionary programming is a stochastic optimization procedure which has proved useful in optimizing difficult functions. It is shown that evolutionary programing can be used to solve the Bellman equation problem with a high degree of accuracy and substantially less CPU time than Bellman equation iteration. Future applications will focus on sometimes binding constraints – a class of problem fo...

Today using evolutionary programing for solving complex, nonlinear mathematical problems like optimum power flow is commonly in use. These types of problems are naturally nonlinear and the conventional mathematical methods aren’t powerful enough for achieving the desirable results. In this study an Optimum Power Flow problem solved by means of minimization of fuel costs for IEEE 30 buses test s...

Optimization has become an important tool in treatment planning for cancer radiation therapy. It may be used to determine beam weights, beam directions, and appropriate use of beam modifiers such as wedges and blocks, with the aim of delivering a required dose to the tumor, while sparing nearby critical structures and normal tissue. Linear programing formulations are a core computation in many ...

In this paper an exact penalty line search is introduced for solving constrained nonlinear programing. By this method it is possible to solve some problems with combining penalty method and SQP method, and in any iteration for producing new stepone can uses linear search and solves unconstrained optimization by exact penalty function. In this method a linear programming subproblem with trust ar...