A method is developed for analytically determining the holographic optical element phase function that is optimum for transforming a set of input wave fronts into a corresponding set of output wave fronts. These sets are allowed to be infinite in the sense that the wave-front phases can be given as functions of continuous parameters. The method can be tolerant of specified wave-front aberration...

Given a graph G = (V, E) with edge weights we ∈ R, the optimum cooperation problem consists in determining a partition of the graph that maximizes the sum of weights of the edges with nodes in the same class plus the number of the classes of the partition. The problem is also known in the literature as the optimum attack problem in networks. Furthermore, a relevant physics application exists. I...

Although solar photovoltaics (PV) are recognized as a promising source of clean energy production, researchers and policy makers need to know the optimum level of solar PV capacity penetration into the existing generation structure under the current fuel mix for the region. As the level of installed PV capacity increases, it is possible that the aggregated generation mix could produce electrica...

The process scheduling, is one of the most important tasks of the operating system. One of the most common scheduling algorithms used by the most operating systems is the Round Robin method in which, the ready processes waiting in ready queue, seize the processor for a short period of time known as the quantum (or time slice) circularly. In this paper, a nonlinear programming mathematical model...

The jump squat is one of the exercises most frequently used to improve lower body power production, which influences sports performance. However, the traditional determination of the specific workload at which power production is maximized (i.e., optimum power load) is time-consuming and requires one-repetition maximum tests. Therefore, the aim of this study was to verify whether elite athletes...

In a parallel environment, where processes reside on diierent processors and work on the same computation, data allocation plays a signiicant role in the completion time. Data allocation depends on the way software is partitioned; therefore, both the data and software should be considered together to achieve a global optimization. In this paper, we present an algorithm that produces the optimum...

Conductivity optimization is important for hydraulic fracturing due to its key roles in determining fractured well productivity. Proppant embedment is an important mechanism that could cause a remarkable reduction in fracture width and, thus, damage the fracture conductivity. In this work a new analytical model, based on contact mechanics and the Carman–Kozeny model, is developed to calculate t...

In this paper, we study general linear programs in which right handsides are interval numbers. This model is relevant when uncertain and inaccurate factors make di–cult the assignment of a single value to each right handside. When objective function coe–cients are interval numbers in a linear program, it is used to determine optimal solutions according to classical criteria coming from decision...

In this paper the method of determining the value of the game in fuzzy environment, using trapezoidal fuzzy numbers is proposed. A new approach called fuzzy Nash equilibrium which provides a way for obtaining the optimum strategies for mxn fuzzy payoff matrix is employed. Relevant definitions and numerical examples are also given.

Smeared link fermionic actions can be straightforwardly simulated with partial-global updating. The efficiency of this simulation is greatly increased if the fermionic matrix is written as a product of several near-identical terms. Such a break-up can be achieved using polynomial approximations for the fermionic matrix. In this paper we will focus on methods of determining the optimum polynomials.