scholarly journals The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
T. Allahviranloo ◽  
L. Gerami Moazam
Keyword(s):  
Approximate Solution ◽  
Fuzzy Number ◽  
Real Root ◽  
Optimization Theory ◽  
Quadratic Equation ◽  
Core Point ◽  
The Core

Firstly in this paper we introduce a new concept of the 2nd power of a fuzzy number. It is exponent to production (EP) method that provides an analytical and approximate solution for fully fuzzy quadratic equation (FFQE) :F(X̃)=D̃, whereF(X̃)=ÃX̃2+B̃X̃+C̃. To use the mentioned EP method, at first the 1-cut solution of FFQE as a real root is obtained and then unknown manipulated unsymmetrical spreads are allocated to the core point. To this purpose we findλandμas optimum values which construct the best spreads. Finally to illustrate easy application and rich behavior of EP method, several examples are given.

scholarly journals E-Serviços no Governo Eletrônico: Análise Bibliométrica de Artigos Internacionais

2015 ◽  
Vol 7 (2) ◽  
pp. 62
Author(s):  
Marcus Vinicius Moreira Zittei ◽  
Francisco Carlos Fernandes
Keyword(s):  
Quantitative Analysis ◽  
Literature Review ◽  
Electronic Government ◽  
Core Point ◽  
Descriptive Research ◽  
The Core ◽  
Scopus Database ◽  
Bibliometric Approach

In the present study, the objective was to analyze the production and the publications profile of the theme: e-services tools referring to eGovernment in the Scopus database, for the period as from 2001 through 2015. The electronic government includes tools for the government's relationship with society, citizens, other governments and businesses. The focus of these articles includes e-services and e-Government activities for the businesses. It was used descriptive research, conducted through literature review, with bibliometric approach and quantitative analysis, with sample collected in the Scopus database. It was found that the number of works in this period was 299, of which 45 papers published in events in 2010 and 16 articles published in journals in 2013. The core point of the articles with the highest citation is related to the deployment and the users’ awareness on tools established by countries.

scholarly journals A Geometrical origin of the Pulsar Core and Conal Emissions

1996 ◽  
Vol 160 ◽  
pp. 229-230 ◽  
Author(s):  
R.C. Kapoor ◽  
C.S. Shukre
Keyword(s):  
Polar Angle ◽  
Quadratic Equation ◽  
Magnetic Axis ◽  
Polar Cap ◽  
The Core ◽  
The North ◽  
Polar Caps ◽  
Inclination Angles ◽  
Field Geometry ◽  
Field Lines

We have analysed the dipole magnetic field geometry for the general case of an oblique rotator and have found that open field lines which define the polar cap divide into two branches (Kapoor and Shukre 1996) which appear naturally relevant for distinguishing the core and conal emissions. The polar cap shape is actually determined by a quadratic equation having two roots leading to two values of the polar angle,θ+andθ−with respect to the magnetic axis for a given azimuth φ. For the north pole bothθ+andθ−branches are shown as polar plots in Fig. 1 for various inclination angles α and a typical pulsar period. The discussion of pulsar polar caps hitherto (e.g. Biggs 1990) had not distinguished between theθ+and theθ−solutions. The region defined by theθ+solution is completely contained inside the polar cap. It has a peculiar triangular shape whose lowest vertex is always on the magnetic axis. This naturally suggests an identification of theθ+and theθ−regions with the core and conal emission zones.

scholarly journals Optimalisasi Pembagian Batang (Bucking Policy) Kayu Bulat Jati dalam Rangka Meningkatkan Pendapatan KPH Madiun

2017 ◽  
Vol 11 (1) ◽  
pp. 43
Author(s):  
Wahyu Andayani ◽  
Ris Hadi Purwanto ◽  
Slamet Riyanto
Keyword(s):  
Policy Implementation ◽  
Raw Materials ◽  
Optimization Theory ◽  
Optimization Process ◽  
Economic Values ◽  
The Core ◽  
Significant Potential ◽  
Policy Optimization ◽  
Policy Guidance ◽  
Diameter Classes

Pendapatan KPH Madiun akan naik jika metode pembagian batang optimal diimplementasikan, sesuai dengan teori optimalisasi. Hal tersebut karena lebih dari 50% kontribusi pendapatan KPH Madiun Perum Perhutani Unit II Jawa Timur sampai saat ini berasal dari penjualan kayu jati. Produk yang dijual meliputi berbagai sortimen yang ditetapkan dengan kebijakan pembagian batang sesuai “Petunjuk Pelaksanaan Pembagian Batang Kayu Bundar Jati Tahun 2006”. Tujuan penelitian ini adalah menerapkan metode pembagian batang optimal dengan menggunakan teori program linier. Hasil penelitian menemukan bahwa, terdapat 96 alternatif cara pembagian batang dari 6 kelas diameter, dan 16 sortimen terdiri dari : vinir, hara, kayu bahan parket (KBP) untuk kebutuhan industri lokal. Kesimpulan penelitian adalah : pendapatan KPH Madiun meningkat sebesar Rp. 4.599.460/m3, atau sebesar Rp. 8.921.623/pohon, sedangkan realisasi pendapatan usaha yang diperoleh saat ini adalah sebesar Rp. 3.701.503/m3 atau sebesar Rp. 7.179.847/pohon. Dengan demikian jika metode optimalisasi diterapkan nilai ekonomi per pohon akan naik sebesar 24,26% atau setara dengan volume sebesar 1,94 m3.Bucking Policy Optimization of Teak Log to Increase the Revenue of KPH Madiun. AbstractThe revenue of KPH Madiun could have been effectively increased through improvement in its bucking policy implementation. Such implementation had been formulated in this research using optimization theory to generate the maximum total economic values of log assortments cut from felled trees. As teakwood production had been the core business, contributing more than 50 % of the revenue, KPH Madiun Perum Perhutani Unit II East Java had been choosen as the object and location of this research. The research found and analized 96 alternatives of bucking policy implementations, derived from 6 possible diameter classes, and 16 possible assortment quality classes. The log assortment was identified by its diameter, length, and quality, as raw materials of veneer, parquet, and local industry. Through optimization process, the optimum bucking policy could potentially increase revenue of KPH Madiun to the maximum of IDR 4,599,460 per m3, or IDR 8,921,623 per tree of 1.94 m3 average. Comparing to existing revenue of IDR 3,701,503 per m3, or IDR 7,179,847 per tree of the same average, which has been based on the formal bucking policy guidance of um Perhutani Unit II (2006), it could be a significant potential increase of 24.26 % or equal to 1.94 m3.

scholarly journals A new method for solving interval and fuzzy quadratic equations of dual form

2021 ◽  
Vol 5 (2) ◽  
pp. 81-89
Author(s):  
Kamal Mamehrashi
Keyword(s):  
Numerical Method ◽  
Fuzzy Number ◽  
Quadratic Equation ◽  
New Method ◽  
Numerical Examples ◽  
Quadratic Equations ◽  
Dual Form ◽  
Interval Extension

In this paper, we present a numerical method for solving a quadratic interval equation in its dual form. The method is based on the generalized procedure of interval extension called” interval extended zero” method. It is shown that the solution of interval quadratic equation based on the proposed method may be naturally treated as a fuzzy number. An important advantage of the proposed method is that it substantially decreases the excess width defect. Several numerical examples are included to demonstrate the applicability and validity of the proposed method.

Note on the Motion Inside a Region of Recirculation (Cavity Flow)

1956 ◽  
Vol 60 (543) ◽  
pp. 203-205 ◽  
Author(s):  
H. B. Squire
Keyword(s):  
Boundary Layer ◽  
Approximate Solution ◽  
Circular Cylinder ◽  
Maximum Velocity ◽  
Cavity Flow ◽  
Flow Patterns ◽  
Stream Velocity ◽  
Bluff Bodies ◽  
The Core

It is shown that the flow in a region of recirculation may be divided into a core, in which the vorticity may be constant, and a boundary layer surrounding the core. An approximate solution is given for the flow inside a circular cylinder with partly fixed and partly moving walls.Flow patterns which include regions of recirculation occur frequently, for example, behind bluff bodies, in sharp bends, and in sudden expansions in ducts. Little is known about this type of flow, which will be referred to, for brevity, as ‘cavity’ flow. It used to be thought that the velocities in the ‘ cavity ’ were small compared with the stream velocity, but it is now known that the maximum velocity in the cavity may be about 30 per cent. of the stream velocity. This implies that the motion within the cavity cannot be neglected.

scholarly journals Randomization-Based Dynamic Programming Offloading Algorithm for Mobile Fog Computing

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Wenle Bai ◽  
Zhongjun Yang ◽  
Jianhong Zhang ◽  
Rajiv Kumar
Keyword(s):  
Dynamic Programming ◽  
Approximate Solution ◽  
Fog Computing ◽  
Optimization Theory ◽  
Genetic Optimization ◽  
Computational Load ◽  
Generation Problem

Offloading to fog servers makes it possible to process heavy computational load tasks in local devices. However, since the generation problem of offloading decisions is an N-P problem, it cannot be solved optimally or traditionally, especially in multitask offloading scenarios. Hence, this paper has proposed a randomization-based dynamic programming offloading algorithm, based on genetic optimization theory, to solve the offloading decision generation problem in mobile fog computing. The algorithm innovatively designs a dynamic programming table-filling approach, i.e., iteratively generates a set of randomized offloading decisions. If some in these sets improve the decisions in the DP table, then they will be merged into the table. The iterated DP table is also used to improve the set of decisions generated in the iteration to obtain the optimal offloading approximate solution. Extensive simulations show that the proposed DPOA can generate decisions within 3 ms and the benefit is especially significant when users are in multitask offloading scenarios.

An Extension of the Large-Cell Radiation Model for the Case of Semi-Transparent Nonisothermal Particles

2009 ◽  
Author(s):  
Leonid A. Dombrovsky
Keyword(s):  
Approximate Solution ◽  
Laboratory Experiments ◽  
Numerical Data ◽  
Large Cell ◽  
Spherical Particles ◽  
Transient Temperature ◽  
Radiation Model ◽  
Modified Model ◽  
The Core ◽  
Particle Cooling

The recently developed model for thermal radiation in multiphase flows typical of melt-coolant interactions is generalized to account for transient temperature profile in large semi-transparent particles of solidifying melt. A modification of the Large-Cell Radiation Model (LCRM) is based on approximate solution for coupled radiation and conduction in optically thick spherical particles of a refractive material. The simplicity of the suggested approximation enables one to implement the modified model in a multiphase CFD code. The LCRM extension makes possible the use of this approach not only for the core melt in nuclear fuel-coolant interactions (FCI’s) but also for other melt substances which are widely used in the laboratory experiments. The numerical data demonstrate an effect of absorption coefficient of the particle substance on the rate of particle cooling and solidification.

Note on the Solution of Non-Linear Simultaneous Equations by Successive Approximations

1958 ◽  
Vol 62 (572) ◽  
pp. 603-604 ◽  
Author(s):  
W. J. Goodey
Keyword(s):  
Approximate Solution ◽  
Real Root ◽  
Transcendental Equation ◽  
Simultaneous Equations ◽  
Frequent Occurrence ◽  
Successive Approximations ◽  
Usual Procedure ◽  
First Approximation ◽  
Non Linear ◽  
Newton Raphson

The Calculation of the roots of an algebraic or transcendental equation in a single unknown is a problem of frequent occurrence. For a real root the usual procedure is to obtain a first approximation to the required quantity, graphically or otherwise, and to improve this approximation by successive applications of the Newton-Raphson process. The extension of this process to the improvement of an approximate solution of a set of non-linear simultaneous equations in n unknowns is fairly obvious, but it does not seem to have received much attention in text books, although the case of two unknowns is dealt with in Ref. 2.

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