A fast convergent optimization algorithm is proposed in this paper to calculate sequential optimal trajectories for pursuing a moving target or under dynamically changing environments. The changing boundary conditions or perturbations in such problems require an efficient algorithm to update the optimal trajectories with appropriate time steps. Concepts of a uniform B-spline and differentially ...

the large amount of computation necessary for obtaining time optimal solution for moving a manipulator on specified path has made it impossible to introduce an on line time optimal control algorithm. most of this computational burden is due to calculation of switching points. in this paper a learning algorithm is proposed for finding the switching points. the method, which can be used for both ...

Determining optimal number of clusters in a dataset is a challenging task. Though some methods are available, there is no algorithm that produces unique clustering solution. The paper proposes an Automatic Merging for Single Optimal Solution (AMSOS) which aims to generate unique and nearly optimal clusters for the given datasets automatically. The AMSOS is iteratively merges the closest cluster...

For interval linear algebraic systems Ax = b, the problem is considered of componentwise evaluation of the set Σ∃∃(A,b) = {Ab | A∈A, b∈b } formed by all solutions of Ax = b when A and b vary independently in A and b, respectively. An iterative PSS algorithm is introduced that computes optimal (exact) componentwise estimates of Σ∃∃ and its convergence is proved under fairly general conditions on...

Providing clean and efficient foundations and tools for reconfiguration is a crucial enabler for distributed system management today. This work takes a step towards developing such foundations. It considers classic fault-tolerant atomic objects emulated on top of a static set of fault-prone servers, and turns them into dynamic ones. The specification of a dynamic object extends the correspondin...

In this paper, hybrid particle swarm optimization and gravitational search algorithm is proposed to find the optimal solution for the optimal power flow problem including three wind farms connected to the isolated Adrar Algerian power system. In order to get the cost model, the economic problem is converted into a single objective function considering the fuel cost and cost of wind generation b...

We derive the first closed-form optimal refinancing rule: Refinance when the current mortgage interest rate falls below the original rate by at least [Formula: see text] In this formula W(.) is the Lambert W-function, [Formula: see text]ρ is the real discount rate, λ is the expected real rate of exogenous mortgage repayment, σ is the standard deviation of the mortgage rate, κ/M is the ratio of ...

In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...