The cubature formulas computing modeling

2021 ◽  
pp. 28-32
Author(s):  
N.S. Krivsha ◽  
◽  
S.A. Butenkov ◽  
V.V. Krivsha ◽  
Keyword(s):  
Mathematical Models ◽  
Programming Language ◽  
Theoretical Basis ◽  
Granular Computing ◽  
Automated Design ◽  
New Approach ◽  
Hybrid Computing ◽  
Cubature Formulas ◽  
Wide Domain ◽  
Engineering Problems

Presented paper is related with the problem of hybrid computing structures design and their methodology. The main purpose is the theoretical basis for the automated design supercomputing devices development and the different restrictions accounting. The theory of space granular models and granular computing are used for the new theoretical basis development. As a result, the mathematical models, provided in this paper, may be implemented to the FPGA units by the special COLAMO programming language. The new approach provides the universal computing devices for the multidimensional cubature formulas for the very wide domain of engineering problems.

scholarly journals New Challenges Arising in Engineering Problems with Fractional and Integer Order

2021 ◽  
Vol 5 (2) ◽  
pp. 35
Author(s):  
Haci Mehmet Baskonus ◽  
Luis Manuel Sánchez Ruiz ◽  
Armando Ciancio
Keyword(s):  
Mathematical Models ◽  
Real World ◽  
Integer Order ◽  
Engineering Problems ◽  
New Challenges ◽  
Real World Problems

Mathematical models have been frequently studied in recent decades in order to obtain the deeper properties of real-world problems [...]

scholarly journals Prediction of Crushing Response for Metal Hexagonal Honeycomb under Quasi-Static Loading

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xinyu Geng ◽  
Yufei Liu ◽  
Wei Zheng ◽  
Yongbin Wang ◽  
Meng Li
Keyword(s):  
Mathematical Models ◽  
Static Loading ◽  
Theoretical Basis ◽  
Theoretical Models ◽  
Excellent Correlation ◽  
Static Compression ◽  
Out Of Plane ◽  
Plane Direction ◽  
Element Theory ◽  
Quasi Static Compression

To provide a theoretical basis for metal honeycombs used for buffering and crashworthy structures, this study investigated the out-of-plane crushing of metal hexagonal honeycombs with various cell specifications. The mathematical models of mean crushing stress and peak crushing stress for metal hexagonal honeycombs were predicted on the basis of simplified super element theory. The experimental study was carried out to check the accuracy of mathematical models and verify the effectiveness of the proposed approach. The presented theoretical models were compared with the results obtained from experiments on nine types of honeycombs under quasi-static compression loading in the out-of-plane direction. Excellent correlation has been observed between the theoretical and experimental results.

scholarly journals A New Approach for Assessing Credit Risks under Uncertainty

2020 ◽  
Author(s):  
Teimuraz Tsabadze
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Metric Space ◽  
Theoretical Basis ◽  
Fuzzy Numbers ◽  
Group Decision ◽  
Initial Part ◽  
New Approach ◽  
Trapezoidal Fuzzy Numbers ◽  
Credit Risks

The purpose of this chapter is to introduce a new approach for an assessment of the credit risks. The initial part of the chapter is to briefly discuss the existing models of assessment of the credit risks and justify the need for a new approach. Since a new approach is created for conditions of uncertainty, we cannot do without fuzzy mathematics. The proposed approach is based on group decision-making, where experts’ opinions are expressed by trapezoidal fuzzy numbers. The theoretical basis of the offered approach is laid out in the metric space of trapezoidal fuzzy numbers. The new approach is introduced and discussed, and two realization algorithms are given. The toy example of application of the introduced approach is offered as well.

scholarly journals A New Technique to Solve the Instant Insanity Problem

2016 ◽  
Vol 11 (10) ◽  
pp. 5766-5773
Author(s):  
Salar Y Alsardary ◽  
Hwee Jung Kim ◽  
Julie George
Keyword(s):  
Graph Theory ◽  
Programming Language ◽  
New Technique ◽  
New Approach ◽  
A New Technique

Instant Insanity [1] consists of four cubes, each of whose six faces are colored with one of the four colors: red, blue, white, and green. The object is to stack the cubes in such a way that each of the four colors appears on each side of the resulting column. See figure 1 below[2]. Traditionally, this could be solved using graph theory.However, in this article, we introduce a new technique to solve the problem without using graph theory. We also used a Perl programming language to implement the new approach for the Instant Insanity.

Scientific Management 2.0 – A Design Model for Experimental Research in Production Management

2014 ◽  
Vol 1018 ◽  
pp. 571-579
Author(s):  
Günther Schuh ◽  
Thomas Gartzen ◽  
Felix Basse
Keyword(s):  
Experimental Research ◽  
Theoretical Basis ◽  
Production Management ◽  
Production Systems ◽  
Scientific Management ◽  
Deterministic Models ◽  
New Approach ◽  
Technical Aspects ◽  
The Poor ◽  
And Performance

Reliable and accurate predictions on future states of production systems are the objective of production theories. In this paper, the authors determined shortcomings of current deterministic models and traced them back to the poor theoretical basis of scientific research in the area. The observations resulted in the development of the conceptScientific Management 2.0as an appropriate research methodology for production management. This new empirical approach takes into account three requirements to scientifically precise investigations: It expands existing theory by socio-technical aspects, uses embedded experiments as a profound basis for investigation and provides a design that warrants the methodical exactness required. RWTH Aachen’sDemonstration Factoryrepresents an adequate infrastructure to prove feasibility and performance of the new approach.

Characteristics of Phase Change Material for NaCl Solution and Optimization of as a Kind of Coolant in the Storage-Transportation of Frozen Pork

2014 ◽  
Vol 543-547 ◽  
pp. 3861-3864
Author(s):  
Wei Jiang Fan ◽  
Feng Jun Guo ◽  
Yue Ting Ge ◽  
Shu Qing Wang
Keyword(s):  
Mathematical Models ◽  
Phase Change ◽  
Phase Change Material ◽  
Theoretical Basis ◽  
Phase Change Materials ◽  
Nacl Solution ◽  
Cargo Capacity ◽  
Basic Characteristics ◽  
Fresh Foods ◽  
Change Material

In this study, NaCl solution was investigated the basic characteristics of phase change materials. The volumes of NaCl solution (as coolant) were studied in storage-transportation of frozen pork. The mathematical models were established between the coolant volumes and cargo capacity. A theoretical basis was provided for the srorage-transportation of fresh foods when NaCl solution was the coolant of phase change materials. The volumes of coolant were optimized in the sorage-srorage-transportation of fresh foods. The logistics costs would be reduced because of our results.

Protocol-Based Multi-Agent Systems: Examining the Effect of Diversity, Dynamism, and Cooperation in Heuristic Optimization Approaches

2010 ◽  
Author(s):  
Lindsay Hanna ◽  
Jonathan Cagan
Keyword(s):  
Search Strategies ◽  
Heuristic Optimization ◽  
Multi Agent Systems ◽  
Review Of The Literature ◽  
High Quality ◽  
New Approach ◽  
Agent Systems ◽  
Engineering Problems ◽  
Multi Agent ◽  
Immense Potential

Many heuristic optimization approaches have been developed to combat the ever-increasing complexity of engineering problems. In general, these approaches can be classified based on the diversity of the search strategies used, the amount of change to those search strategies during the optimization process, and the level of cooperation between the strategies. A review of the literature indicates that approaches which are simultaneously very diverse, highly dynamic, and cooperative are rare but have immense potential for finding high quality final solutions. In this work, a taxonomy of heuristic optimization approaches is introduced and used to motivate a new approach, entitled Protocol-based Multi-Agent Systems. This approach is found to produce final solutions of much higher quality when its implementation includes the use of multiple search protocols, the adaptation of those protocols during the optimization, and the cooperation between the protocols than when these characteristics are absent.

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