Because the underlying physiology of pathological tremor in a Parkinson's patient is not well understood, the existing physical and drug therapies have not been successful in tremor treatment. Different mathematical modeling of such vibration has been introduced to investigate the problem and reduce the existing vibration. Most of the models have represented the induced vibration as a sinusoida...

Most optimization software performs numerical computation, in the sense that the main interest is to find numerical values to assign to the decision variables, e.g. a solution to an optimization problem. In mathematical programming, however, a considerable amount of symbolic transformation is essential to solving difficult optimization problems, e.g. relaxation or decomposition techniques. This...

Formal design optimization involves application of mathematical optimization techniques to models derived from engineering science, often presented as computer simulations. Industry use of design optimization tools is now widespread and sophisticated. As the size and complexity of design problems addressed with these formal methods increase, so do the challenges for successful implementations. ...

The sectoral structure of most agricultural enterprises is unbalanced and uncoordinated, which underlies the need in deepened research of its improvement. This paper is dedicated to the formation and evaluation of the sectoral structure with the use of mathematical methods of data processing. Mathematical economic modeling based on optimization and simulation models has been applied for the for...

appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. one type of scheduling problems is just-in-time (jit) scheduling and in this area, motivated by jit manufacturing, this study investigates a mathematical model for...

this paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. by this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. this is resulted from dividing area into discrete and continuous dimensions. also defining decision var...

The mathematical programming formulation language is a very powerful tool used to formalize optimization problems by means of parameters, decision variables, objective functions and constraints. Such diverse settings as combinatorial, integer, continuous, linear and nonlinear optimization problems can be defined precisely by their corresponding mathematical programming formulations. Its power i...

This paper presents a comparative study of Continuous Stirred Tank Reactor concentration control using Particle Swam Optimization and Bacterial Forging Optimization. Continuous stirred tank reactor plays a very important role in process industry. This paper presents the optimal design of PID controller based on Particle Swarm Optimization and Bacterial Forging Optimization. The first step is th...