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Dissertations / Theses on the topic 'Analysis of the industrial range'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

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1

Tan, Phaik-Hoon. "Statistical Analysis of Long-Range Dependent Processes via a Stochastic Intensity Approach, with Applications in Networking." NCSU, 1999. http://www.lib.ncsu.edu/theses/available/etd-19990706-145610.

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<p>The objective of this research is to develop a flexible stochastic intensity-function model for traffic arrivals arising in an Ethernet local area network. To test some well-known Bellcore datasets for long-rangedependence or nonstationarity, a battery of statistical tests was applied---including a new extensionof the classical Priestley-Rao test for nonstationarity; and the results of this analysis revealedpronounced nonstationarity in all of the Bellcore datasets. To model such teletraffic arrivalprocesses accurately, a stochastic intensity function was formulated as a nonlinear extension

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2

Hou, Yoshen. "Developing a flexible range sensing system for industrial inspection applications." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-07102009-040351/.

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3

Feng, Yen-Chun. "CW projectile tracking range analysis." Thesis, Monterey, California. Naval Postgraduate School, 1989. http://hdl.handle.net/10945/26957.

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4

Masinde, Brian. "Birds' Flight Range. : Sensitivity Analysis." Thesis, Linköpings universitet, Institutionen för datavetenskap, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166248.

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’Flight’ is a program that uses flight mechanics to estimate the flight range of birds. This program, used by ornithologists, is only available for Windows OS. It requires manual imputation of body measurements and constants (one observation at a time) and this is time-consuming. Therefore, the first task is to implement the methods in R, a programming language that runs on various platforms. The resulting package named flying, has three advantages; first, it can estimate flight range of multiple bird observations, second, it makes it easier to experiment with different settings (e.g. constant

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5

Бондаренко, Алла Федорівна, Алла Федоровна Бондаренко та Alla Fedorivna Bondarenko. "Исследование потребительских свойств полимерной обуви". Thesis, ЦУМК Центросоюза, 1990. http://essuir.sumdu.edu.ua/handle/123456789/51505.

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В диссертационной работе исследовано состояние рынка полимерной обуви и определено ее важное значение в удовлетворении спроса сельского населения страны. Изучены потребности в обуви различных групп потребителей и особенности их формирования с учетом социальных факторов. Выявлены причины неудовлетворенного спроса на определенные виды обуви и определены направления дальнейшего расширения ее ассортимента и повышения качества в соответствии с формирующимися потребностями. Представлены результаты анализа промышленного ассортимента обуви из полимерных материалов, раскрыты проблемы его формирования.

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6

Yehudai, Joseph. "A Study of the Relationship between the Intensity of Short-Range and Medium-Range Capacity Management and the Effectivenesss of Manufacturing Operations." Thesis, North Texas State University, 1988. https://digital.library.unt.edu/ark:/67531/metadc331834/.

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The objective of this study was to examine the relationship between intensity of short-range and medium-range capacity management and effectiveness of manufacturing operations. Data were collected to test the null hypothesis which stated that intensity of short-range and medium-range capacity management does not influence manufacturing effectiveness. Intensity of short-range and medium-range capacity management was indicated by the following variables: (1) production standards; (2) priority determination; (3) delivery dates determination; (4) material requirements planning; (5) routing informa

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7

Sutherland, Frederick E. "The Cuyuna Iron Range| Legacy of a 20th century industrial community." Thesis, Michigan Technological University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10120229.

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<p> The Cuyuna Range is a former North American iron mining district about 90 miles(145 kilometers) west of Duluth in central Minnesota. The district was the furthest south and west of the three Minnesota iron ranges (Vermilion, Mesabi, and Cuyuna). In 2011, Students and staff from Michigan Technological University's Department of Social Sciences were asked to identify and promote features of the Cuyuna Range's mining heritage. Methods and approaches of mulitsited archaeology were used to unify the diverse places and themes into a more cohesive narrative. Their investigations focused on sites

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8

Preddie, Alaina Katelyn. "Glovebox Workers’ Range of Motion in Three Gloveports." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu155408132299994.

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9

Hutchens, Chris. "An integrated design strategy for a range of industrial electronic pressure instrumentation." Thesis, University of South Wales, 1999. https://pure.southwales.ac.uk/en/studentthesis/an-integrated-design-strategy-for-a-range-of-industrial-electronic-pressure-instrumentation(604926cd-cf70-4281-afea-f64b05ab8161).html.

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This portfolio details the design, construction and testing of three high accuracy digital pressure indicators. A discussion of old and contemporary pressure measurement technologies is included, as well as a comprehensive market survey of electronic pressure measurement instruments currently available. An integrated design strategy is adopted for the three separate digital pressure instruments, namely a battery - powered stand alone unit, a retransmitting version and an intrinsically safe version of the battery powered unit. Their implementation takes into account many design issues including

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10

Barrett, Edward. "Range analysis of binaries with design procedures." Thesis, University of Kent, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.653051.

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In the past few years, there has been increased interest in automating the reverse engineering and verification of binary executable code. The importance of this subject has b,een highlighted by the growing relevance of security, of reliability and of legacy code. Since dynamic analysis is of limited use for whole-program analyses, there has been a renewed enthusiasm for the development of automated static analyses, which can prove a property holds over all paths of the program. The abstract interpretation framework serves this purpose and has been widely adopted in both academic and industria

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11

Sobottka, Karin. "Analysis of low-resolution range image sequences /." [S.l.] : [s.n.], 2000. http://www.ub.unibe.ch/content/bibliotheken_sammlungen/sondersammlungen/dissen_bestellformular/index_ger.html.

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12

Theron, Carl Christiaan. "Psychometric implications of corrections for attenuation and restriction of range for selection validation research." Thesis, Stellenbosch : Stellenbosch University, 1999. http://hdl.handle.net/10019.1/51398.

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Dissertation (D.Phil.) -- University of Stellenbosch, 1999.<br>ENGLISH ABSTRACT: The conditions under which selection procedures are typically validated and those prevailing at the eventual use of a selection procedure normally differ to a sufficient extent to challenge the relevance of the validation research evidence. Statistical corrections to the validity coefficient are generally available. The remainder of the argument in terms of which a selection procedure is developed and justified could, however, also be biased by any discrepancy between the conditions under which the selection

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13

Ameri, Ahmed Abbas Hussein [Verfasser]. "Long-Range Ultra-Wideband Radar Sensor for Industrial Applications / Ahmed Abbas Hussein Ameri." Kassel : Kassel University Press, 2013. http://d-nb.info/1056897678/34.

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14

Tomlinson, Anthony M. "Long range analysis of the mammalian casein locus." Thesis, University of Edinburgh, 1999. http://hdl.handle.net/1842/14550.

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Current notions of genome organisation hold that chromatin is structurally and functionally partitioned into domains delimited by specialised chromatin elements. In transgenic studies a variety of chromatin domains and functional elements isolated from them have been shown to direct physiological levels of gene expression independent of the integration position of the transgene within the genome. The principal aim of this project was to assay for position independent, copy number dependent and tissue- and developmental stage-specific gene expression from the human and murine casein gene loci i

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15

van, de Beek C. Z., H. Leijnse, P. Hazenberg, and R. Uijlenhoet. "Close-range radar rainfall estimation and error analysis." COPERNICUS GESELLSCHAFT MBH, 2016. http://hdl.handle.net/10150/621508.

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Quantitative precipitation estimation (QPE) using ground-based weather radar is affected by many sources of error. The most important of these are (1) radar calibration, (2) ground clutter, (3) wet-radome attenuation, (4) rain-induced attenuation, (5) vertical variability in rain drop size distribution (DSD), (6) non-uniform beam filling and (7) variations in DSD. This study presents an attempt to separate and quantify these sources of error in flat terrain very close to the radar (1–2 km), where (4), (5) and (6) only play a minor role. Other important errors exist, like beam blockage, WLAN in

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16

Wood, Christopher Martin. "Shape analysis using Young's fringes." Thesis, Liverpool John Moores University, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.261442.

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17

Dorling, John. "Industrial Energy Analysis and Conservation." Thesis, Cranfield University, 1989. http://hdl.handle.net/1826/4189.

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This work is concerned with the analysis of industrial energy use for the purposes of reducing that use to a minimum within the constraints imposed by the existing plant. The work is divided into two parts. Firstly, a general analysis of the energy used in an industrial plant is made for the year 1986. Based on monthly records of energy consumption and environmental parameters, it is primarily intended to heighten management awareness of energy flows and the relative contributions from each energy type towards the total annual consumption and cost. It is performed using a suite of interactive

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18

Umasuthan, M. "Recognition and position estimation of 3D objects from range images using algebraic and moment invariants." Thesis, Heriot-Watt University, 1995. http://hdl.handle.net/10399/763.

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19

Carlborg, Hampus, and Henrik Iredahl. "Modeling and Temperature Control of an Industrial Furnace." Thesis, Linköpings universitet, Reglerteknik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-129617.

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A linear model of an annealing furnace is developed using a black-box system identification approach, and used when testing three different control strategies to improve temperature control. The purpose of the investigation was to see if it was possible to improve the temperature control while at the same time decrease the switching frequency of the burners. This will lead to a more efficient process as well as less maintenance, which has both economic and environmental benefits. The estimated model has been used to simulate the furnace with both the existing controller and possible new cont

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20

Lam, Yuet-kee Jeffery, and 林悦基. "Full-range analysis of reinforced concrete members and frames." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B42182268.

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21

NEUPANE, USHA. "PERFORMANCE ANALYSIS OF LOW-POWER, SHORT-RANGE WIRELESS TRANSCEIVERS." Master's thesis, University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4169.

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To address the various emerging standards like BluetoothTM, Home RF, Wi-fiTM (IEEE 802.11), ZigBeeTM etc., in the field of wireless communications, different transceivers have been designed to operate at various frequencies such as 450 MHz, 902-920 MHz, 2.4 GHz, all part of designated ISM band. Though, the wireless systems have become more reliable, compact and easy to develop than before, a detailed performance analysis and characterization of the devices should be done. This report details the performance analysis and characterization of a popular binary FSK transceiver TRF6901 from Texas In

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22

Laver, Peter Norman. "Cheetah of the Serengeti Plains: A home range analysis." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/45981.

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Cheetah (Acinonyx jubatus) persist under continued conservation threat in small populations mostly in protected areas in an historically reduced geographic range. Home range, a useful trait for threat assessment, species reintroduction, and population estimation, is plastic in cheetah with sizes ranging from 40 km2 to over 1000 km2 depending on location. Previous home range estimates for cheetah used the minimum convex polygon (MCP), assuming asymptotic home ranges and MCP insensitivity to sample size. They reported metrics of home range size and overlap based on only outline methods. I us

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23

Lam, Yuet-kee Jeffery. "Full-range analysis of reinforced concrete members and frames." Click to view the E-thesis via HKUTO, 2009. http://sunzi.lib.hku.hk/hkuto/record/B42182268.

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24

Rodrigues, Raphael Ernani. "Scalable and precise range analysis on the interval lattice." Universidade Federal de Minas Gerais, 2014. http://hdl.handle.net/1843/ESBF-9JTHXV.

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A Range Analysis (RA) is an algorithm that estimates the lowest and highest values that each variable in a computer program may assume during an execution of the program. This kind of analysis provides information that helps the compiler to better understand and optimize programs. However, previous works rely on approaches that are either expensive or imprecise, limiting their application. In this work we present an implementation of a new range analysis that is currently among the best tools of its kind publicly available. Our implementation provides the best balance between speed and precisi

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25

Casas, Villalba Isabel. "Statistical inference in continuous-time models with short-range and/or long-range dependence." University of Western Australia. School of Mathematics and Statistics, 2006. http://theses.library.uwa.edu.au/adt-WU2006.0133.

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The aim of this thesis is to estimate the volatility function of continuoustime stochastic models. The estimation of the volatility of the following wellknown international stock market indexes is presented as an application: Dow Jones Industrial Average, Standard and Poor’s 500, NIKKEI 225, CAC 40, DAX 30, FTSE 100 and IBEX 35. This estimation is studied from two different perspectives: a) assuming that the volatility of the stock market indexes displays shortrange dependence (SRD), and b) extending the previous model for processes with longrange dependence (LRD), intermediaterange dependence

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26

Hallbeck, M. Susan. "Biomechanical analysis of carpal flexion and extension." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/26086.

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An experiment was performed to evaluate the relations between active range of motion (ROM) and upper limb anthropometric dimensions. Eight anthropometric dimensions, forearm length, distal and proximal forearm circumferences, wrist breadth, wrist thickness, wrist circumference, hand breadth, and hand length in combination with gender, wrist position, and direction of motion or exertion were evaluated to determine their effects on instant center of rotation (ICOR) and the magnitude of force exertion. The knowledge gained from analysis of the study data will be the first step in the formulation

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27

RAMACHANDRAN, JAIGANESH. "ANTHROPOMETRY AND RANGE OF MOTION DATA OF THE OBESE POPULATION AND THEIR DESIGN IMPLICATIONS." University of Cincinnati / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1158595083.

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28

Torres, Julio Alejandro Pena. "Economic analysis of marine industrial fisheries." Thesis, Queen Mary, University of London, 1996. http://qmro.qmul.ac.uk/xmlui/handle/123456789/28956.

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This thesis is a collection of essays on the problem of overfishing in multifirm fisheries with a common property fish stock. We focus on the case of marine industrial fisheries, where the costs of preventing free riding tend to preclude cooperative harvesting. We study the overfishing problem by analysing harvesting incentives that stem from variations in (i) technological (cost, production and biological growth) functions, (ii) institutional factors (access schemes, regulatory agencies' instruments and their monitoring and enforcement powers, harvesting competition), and (iii) objective func

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29

Causevic, Azra. "Data Dependency Analysis in Industrial Systems." Thesis, Mälardalens högskola, Akademin för innovation, design och teknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-29583.

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Software in modern industrial systems may have complex data dependencies. As a result of this, it can be hard for system developers to understand the system’s behavior, if they cannot explicitly see these dependencies. This thesis addresses this problem, with an emphasis on dependencies among data in systems built using the IEC 61499 standard. An analysis method was developed, with which we are able to extract data dependency information from basic and composite function blocks. The first step of handling this problem is to investigate how the data dependencies occur in IEC 61499. The second s

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Orriols, Majoral Xavier. "Generative Models for Video Analysis and 3D Range Data Applications." Doctoral thesis, Universitat Autònoma de Barcelona, 2004. http://hdl.handle.net/10803/3037.

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La mayoría de problemas en Visión por computador no contienen una relación directa entre el estímulo que proviene de sensores de tipo genérico y su correspondiente categoría perceptual. Este tipo de conexión requiere de una tarea de aprendizaje compleja. De hecho, las formas básicas de energía, y sus posibles combinaciones, son un número reducido en comparación a las infinitas categorías perceptuales correspondientes a objetos, acciones, relaciones entre objetos, etc. Dos factores principales determinan el nivel de dificultad de cada problema específico: i) los diferentes niveles de informació

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31

Nedergaard, Philip, and Rebecca Töreman. "The Sustainability Product Scorecard at IKEA : - framework and range analysis." Thesis, KTH, Maskinkonstruktion (Inst.), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-99300.

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The Sustainability Product Scorecard (SPS) is a new tool developed by IKEA of Sweden and it is used to measure the level of sustainability of each product within the range. Eleven weighted criteria are used to evaluate each product and the calculated score is compared to the targeted level of a More Sustainable product. The total score of the range is then to be compared with the overall goal for fiscal year 2015 of having 90% of the sales share deemed as More Sustainable. The purpose of this thesis is to score and analyse parts of the running range and evaluate how to best meet the goals of F

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32

Linnard, David Simon. "Long range seasonal weather prediction : data analysis and numerical experiments." Thesis, University of Exeter, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.237875.

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33

Luo, Jia. "Market analysis for optoelectronic transceiver in short range data transmission." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/45386.

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Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2008.<br>Includes bibliographical references (leaves 56-58).<br>With the increasing demanding of bandwidth in information technology, electronic connections meet the limitation in high speed processing in shorter and shorter reach. In the work, three markets for optical connection with different reach, which range from 10km down to 1 meter, have been discussed. The 10km market denotes for the LAN standard and would mature soon. For the 100m range, active cable has emerged to meet the requiremen

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34

Oguntade, Ayoade O. "Range Estimation for Tactical Radio Waveforms using Link Budget Analysis." University of Toledo / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1271210750.

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35

Welsh, Thomas V. "Quantitative Analysis of 3D Images Formed Using Range Compressed Holography." University of Dayton / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1512317926568769.

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36

Bocchino, Chris, and William Hamilton. "EASTERN RANGE TITAN IV/CENTAUR-TDRSS OPERATIONAL COMPATIBILITY TESTING." International Foundation for Telemetering, 1996. http://hdl.handle.net/10150/607608.

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International Telemetering Conference Proceedings / October 28-31, 1996 / Town and Country Hotel and Convention Center, San Diego, California<br>The future of range operations in the area of expendable launch vehicle (ELV) support is unquestionably headed in the direction of space-based rather than land- or air-based assets for such functions as metric tracking or telemetry data collection. To this end, an effort was recently completed by the Air Force’s Eastern Range (ER) to certify NASA’s Tracking and Data Relay Satellite System (TDRSS) as a viable and operational asset to be used for t

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37

Koh, Kenneth Johannesen. "Analysis of Key Industrial WSN MAC Protocols." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for telematikk, 2014. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-27346.

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This paper looks at two MAC protocols for wireless sensor networksfor use in industrial applications developed at the Ubicom Lab, at theUniversity of Ulsan. A theoretical comparison of the MAC protocolsare performed to understand more about the benefits and downsidesto both of them, and experimental scenarios to validate the theoreticalanalysis are suggested. Theoretical analysis suggests that BigMAC hasan advantage in environments with high interference and frequent linkbreaks, while I-MAC has an advantage when the network topology isstable.

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38

Seaman, David Richard. "Operability analysis of an industrial communication circuit." Master's thesis, University of Cape Town, 2000. http://hdl.handle.net/11427/5405.

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39

Khan, Zarak Ali. "Error Analysis of Angle and Range Estimation in a Range Limited Antenna System Using Music and Modified Root Pisarenko Algorithms." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/46213.

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The Range Limited Antenna (RLA) has the ability to track and pin-point RF devices operating within a certain accepted range. Using two antenna arrays, each made up of several elements, direction-finding algorithms such as MUSIC and Modified Root Pisarenko (MRP) are used to estimate the angles of arrival of incoming signals. Using the estimated angles of arrival, a range estimation algorithm is used to estimate the distance of the emitter from the antenna array. The aim of this thesis is to check the sensitivity of the range estimation and to form a statistical analysis for such conditions.

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40

Parilek, Jimmy. "Implementing an incident review analysis and accountability system for ABC Construction." Online version, 2009. http://www.uwstout.edu/lib/thesis/2009/2009parilekj.pdf.

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Ilic, Milan. "Analysis, modeling and design of a wide range constant power source." Connect to online resource, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3256400.

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42

Pascovici, Daniele Samuel. "Thermo economic and risk analysis for advanced long-range aero engines." Thesis, Cranfield University, 2008. http://hdl.handle.net/1826/4090.

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To conceive and assess engines with minimum global warming impact and lowest cost of ownership in a variety of emission legislation scenarios, emissions taxation policies, fiscal and Air Traffic Management environments a Techno economic and Environmental Risk Assessment (TERA) model is needed. In the first part of this thesis an approach is presented to estimate the cost of maintenance and the direct operating costs of turbofan engines of equivalent thrust rating, both for long and short range applications. The three advanced types of turbofan engines analysed here are a direct drive three spo

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43

Lee, Myoung Ho. "An analysis and assessment of the regional forest resources : range sector." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/24342.

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44

Adams, Martin David. "Optical range data analysis for stable target pursuit in mobile robotics." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305510.

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Guerra, Maria Grazia. "Analysis of a 3D optical scanner based on photogrammetry suitable for industrial applications in close and micro-range." Doctoral thesis, 2019. http://hdl.handle.net/11589/161227.

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The new paradigm of Industry 4.0 encompasses the manufacturing metrology and the necessity for fast, flexible, reliable and holistic systems arises, in order to accompany the more advanced manufacturing technologies. The more extensive use of additive manufacturing techniques, which entail the realization of complex structures and freeform geometries, as well as, the use of new materials, enhances this concept. These driving forces are the basis for the great interest towards 3D scanning systems because they perfectly fit the key factors of the new manufacturing metrology 4.0. Among other th

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46

Sadeghi, Naimeh. "Combined Fuzzy and Probabilistic Simulation for Construction Management." Master's thesis, 2009. http://hdl.handle.net/10048/731.

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Simulation has been used extensively for addressing probabilistic uncertainty in range estimating for construction projects. However, subjective and linguistically expressed information results in added non-probabilistic uncertainty in construction management. Fuzzy logic has been used successfully for representing such uncertainties in construction projects. In practice, an approach that can handle both random and fuzzy uncertainties in a risk assessment model is necessary. In this thesis, first, a Fuzzy Monte Carlo Simulation (FMCS) framework is proposed for risk analysis of construction pro

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"Teaching and building middle range industrial relations theory." Sloan School of Management, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/2389.

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48

Ping-Hsun, Wu. "Analysis of Range Detection System." 2005. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0001-2707200511035800.

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Wu, Ping-Hsun, and 吳秉勳. "Analysis of Range Detection System." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/93354284053509492750.

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碩士<br>國立臺灣大學<br>電信工程學研究所<br>93<br>In this thesis, a range detection system using frequency-modulated continuous-wave radar is designed at 2.45 GHz. The system consists of low-noise amplifier, local oscillator, mixer and DSP processor. Advanced high-electron-mobility transistors (HEMT) are used in RF circuit to reduce noise. Specific algorithms are chosen to analyze the echoed signal. Three systems with DSP are proposed to reduce the complexity of the conventional systems. They are simulated with Matlab, and the results matches well with theoretical prediction.

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Chan, Yun-Ju, and 詹雲如. "Observability Analysis of Autonomous Underwater Vehicles Using Range and Range-Rate Measurements." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/m7eg8r.

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碩士<br>國立臺灣大學<br>工程科學及海洋工程學研究所<br>107<br>This study investigates the localization of underwater vehicles via the observability analysis using both inter-vehicle range and range-rate measurements. An instantaneous observability of the dynamic system is defined by taking the Gramian matrix of the Lie derivatives, in which the condition number of the observability Gramian matrix is a metric of the observability. Better observability is obtained when the condition number is reduced (the inverse of the condition number is increased). The condition number formula is derived with not only the range

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