There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three...

this paper considers the problem of scheduling hybrid flowshops with machine availability constraints (mac) to minimize makespan. the paper deals with a specific case of mac caused by preventive maintenance (pm) operations. contrary to previous papers considering fixed or/and conservative policies, we explore a case in which pm activities might be postponed or expedited while necessary. regardi...

Modified Normalized Least Mean Square (MNLMS) algorithm, which is a sign form of NLMS based on set-membership (SM) theory in the class of optimal bounding ellipsoid (OBE) algorithms, requires a priori knowledge of error bounds that is unknown in most applications. In a special but popular case of measurement noise, a simple algorithm has been proposed. With some simulation examples the performa...

This paper studies the hybrid flow shop scheduling where the optimization criterion is the minimization of total tardiness. First, the problem is formulated as a mixed integer linear programming model. Then, to solve large problem sizes, an artificial immune algorithm hybridized with a simple local search in form of simulated annealing is proposed. Two experiments are carried out to evaluate th...

The paper proposes an algorithm to calculate the switching angles using harmonic elimination PWM (HEPWM) scheme for voltage source inverter. The algorithm is based on curve fittings of a certain polynomials functions. The resulting equations require only the addition and multiplication processes; therefore, it can be implemented efficiently on a microprocessor. An extensive angle error analysis...

MOTIVATION Low-complexity or cryptically simple sequences are widespread in protein sequences but their evolution and function are poorly understood. To date methods for the detection of low complexity in proteins have been directed towards the filtering of such regions prior to sequence homology searches but not to the analysis of the regions per se. However, many of these regions are encoded ...

We present a proof of a simple consensus algorithm. The algorithm is known [1]; the proof style is new. It is difficult to reason about communicating processes when some of them may fail. We show that representing the algorithm at a higher level—using equations only—permits us to treat failures in a formal manner. This approach was first utilized in Chandy and Misra [1988, Chapter 18] for provi...

augmented downhill simplex method (adsm) is introduced here, that is a heuristic combination of downhill simplex method (dsm) with random search algorithm. in fact, dsm is an interpretable nonlinear local optimization method. however, it is a local exploitation algorithm; so, it can be trapped in a local minimum. in contrast, random search is a global exploration, but less efficient. here, rand...

The Voronoi diagram is a certain geometric data structure which has found numerous applications in various scientific and technological fields. theory of algorithms for computing 2D Euclidean diagrams point sites rich useful, with several different important algorithms. However, this been quite steady during the last few decades sense that no essentially new have entered game. In addition, most...