• Title/Summary/Keyword: modular A-metric

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Coupled Fixed Point Theorems in Modular Metric Spaces Endowed with a Graph

  • Sharma, Yogita;Jain, Shishir
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.441-453
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    • 2021
  • In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.

ON FIXED POINT THEOREMS SATISFYING COMPATIBILITY PROPERTY IN MODULAR G-METRIC SPACES

  • Daniel Francis;Godwin Amechi Okeke;Ho Geun Hyun
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.361-391
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    • 2024
  • In this paper, a pair of ω-compatible self mappings in the setting of modular G-metric space is defined. We prove the existence and uniqueness of common fixed point of pairs of ω-compatible self mappings in a G-complete modular G-metric space. Furthermore, we give an example to justify our claims. The results established in this paper extend, improve, generalize and complement some existing results in literature.

Multi-Objective Modular Design Method Using Similarity Concept (유사도 개념을 이용한 다목적 모듈화 설계법)

  • Nahm, Yoon-Eui;Ishikawa, Haruo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.4
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    • pp.16-23
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    • 2012
  • At present, the significance of a new manufacturing system that can shift from 'mass production' and consider life cycles of a product is pointed out and extremely expected. In such a situation, it is recognized that the modular design, often called 'unit design,' is the important design methodology which realizes the new production system enabling 'cost reduction,' 'flexible production of a multi-functional artifact,' 'settlement of an environmental issue,' and so on. A module (unit) of a product is generally defined as 'the parts group made into the sub-system from a certain specific viewpoint.' So far, there have been many researches related to the modular design. However, they are often limited to a certain viewpoint (objective). This paper proposes a simple but effective method for multi-objective modular design. In the proposed method, a new design metric, called similarity index, is proposed to evaluate the modular design candidates from the multiple viewpoints.

Development of a Functional Complexity Reduction Concept of MMIS for Innovative SMRs

  • Gyan, Philip Kweku;Jung, Jae Cheon
    • Journal of the Korean Society of Systems Engineering
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    • v.17 no.2
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    • pp.69-81
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    • 2021
  • The human performance issues and increased automation issues in advanced Small Modular Reactors (SMRs) are critical to numerous stakeholders in the nuclear industry, due to the undesirable implications targeting the Man Machine Interface Systems (MMIS) complexity of (Generation IV) SMRs. It is imperative that the design of future SMRs must address these problems. Nowadays, Multi Agent Systems (MAS) are used in the industrial sector to solve multiple complex problems; therefore incorporating this technology in the proposed innovative SMR (I-SMR) design will contribute greatly in the decision making process during plant operations, also reduce the number MCR operating crew and human errors. However, it is speculated that an increased level of complexity will be introduced. Prior to achieving the objectives of this research, the tools used to analyze the system for complexity reduction, are the McCabe's Cyclomatic complexity metric and the Henry-Kafura Information Flow metric. In this research, the systems engineering approach is used to guide the engineering process of complexity reduction concept of the system in its entirety.

Method for Improving Description of Software Metrics Using Metric Description Language Based on OCL (OCL에 바탕을 둔 메트릭 기술 언어를 이용한 메트릭의 표현 방법 개선)

  • Kim, Tae-Yeon;Kim, Yun-Kyu;Chae, Heung-Seok
    • The KIPS Transactions:PartD
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    • v.15D no.5
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    • pp.629-646
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    • 2008
  • Because most metricsin the literatures are described by a natural language, they can be interpreted in an ambigous manner. To cope with this problem, there are some researches to express based on Object Constraint Language(OCL). Because OCL has been proposed to describe structural constraintsfor Unified Modeling Language(UML) diagrams, it is difficult and awkward. In this paper, we propose Metric Description Language(MDL) which is a high level language to describe metrics. MDL supports a modular description of complex metrics, aggregation function, and automatic navigation between entities. Moreover, we develop MetriUs for describing metrics using MDL and supporting an automated computation for UML diagrams. In a case study, we have described a variety of existing metrics using MDL and found that MDL contributes to producing simpler expression of metrics than OCL.

H2-MHR PRE-CONCEPTUAL DESIGN SUMMARY FOR HYDROGEN PRODUCTION

  • Richards, Matt;Shenoy, Arkal
    • Nuclear Engineering and Technology
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    • v.39 no.1
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    • pp.1-8
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    • 2007
  • Hydrogen and electricity are expected to dominate the world energy system in the long term. The world currently consumes about 50 million metric tons of hydrogen per year, with the bulk of it being consumed by the chemical and refining industries. The demand for hydrogen is expected to increase, especially if the U.S. and other countries shift their energy usage towards a hydrogen economy, with hydrogen consumed as an energy commodity by the transportation, residential and commercial sectors. However, there is strong motivation to not use fossil fuels in the future as a feedstock for hydrogen production, because the greenhouse gas carbon dioxide is a byproduct and fossil fuel prices are expected to increase significantly. An advanced reactor technology receiving considerable international interest for both electricity and hydrogen production, is the modular helium reactor (MHR), which is a passively safe concept that has evolved from earlier high-temperature gas-cooled reactor (HTGR) designs. For hydrogen production, this concept is referred to as the H2-MHR. Two different hydrogen production technologies are being investigated for the H2-MHR; an advanced sulfur-iodine (SI) thermochemical water splitting process and high-temperature electrolysis (HTE). This paper describes pre-conceptual design descriptions and economic evaluations of full-scale, nth-of-a-kind SI-Based and HTE-Based H2-MHR plants. Hydrogen production costs for both types of plants are estimated to be approximately $2 per kilogram.

Flexible smart sensor framework for autonomous structural health monitoring

  • Rice, Jennifer A.;Mechitov, Kirill;Sim, Sung-Han;Nagayama, Tomonori;Jang, Shinae;Kim, Robin;Spencer, Billie F. Jr.;Agha, Gul;Fujino, Yozo
    • Smart Structures and Systems
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    • v.6 no.5_6
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    • pp.423-438
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    • 2010
  • Wireless smart sensors enable new approaches to improve structural health monitoring (SHM) practices through the use of distributed data processing. Such an approach is scalable to the large number of sensor nodes required for high-fidelity modal analysis and damage detection. While much of the technology associated with smart sensors has been available for nearly a decade, there have been limited numbers of fulls-cale implementations due to the lack of critical hardware and software elements. This research develops a flexible wireless smart sensor framework for full-scale, autonomous SHM that integrates the necessary software and hardware while addressing key implementation requirements. The Imote2 smart sensor platform is employed, providing the computation and communication resources that support demanding sensor network applications such as SHM of civil infrastructure. A multi-metric Imote2 sensor board with onboard signal processing specifically designed for SHM applications has been designed and validated. The framework software is based on a service-oriented architecture that is modular, reusable and extensible, thus allowing engineers to more readily realize the potential of smart sensor technology. Flexible network management software combines a sleep/wake cycle for enhanced power efficiency with threshold detection for triggering network wide operations such as synchronized sensing or decentralized modal analysis. The framework developed in this research has been validated on a full-scale a cable-stayed bridge in South Korea.