A framework for quantifying complexity and understanding its sources : application to tow large-scale systems
Thesis (S.M.)--Massachusetts Institute of Technology, Engineering Systems Division, Technology and Policy Program, 2004.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/32270 |
| _version_ | 1826214453937438720 |
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| author | Martin, Pierre-Alain J. Y |
| author2 | Christopher L. Magee. |
| author_facet | Christopher L. Magee. Martin, Pierre-Alain J. Y |
| author_sort | Martin, Pierre-Alain J. Y |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Engineering Systems Division, Technology and Policy Program, 2004. |
| first_indexed | 2024-09-23T16:05:17Z |
| format | Thesis |
| id | mit-1721.1/32270 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:05:17Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/322702019-04-12T08:52:28Z A framework for quantifying complexity and understanding its sources : application to tow large-scale systems Martin, Pierre-Alain J. Y Christopher L. Magee. Massachusetts Institute of Technology. Technology and Policy Program. Massachusetts Institute of Technology. Technology and Policy Program. Technology and Policy Program. Thesis (S.M.)--Massachusetts Institute of Technology, Engineering Systems Division, Technology and Policy Program, 2004. Page 95 blank. Includes bibliographical references (p. 76-77). The motivation for this work is to quantify the complexity of complex systems and to understand its sources. To study complexity, we develop a theoretical framework where the complex system of interest is embedded in a broader system: a complex large-scale system. In order to understand and show how the complexity of the system is impacted by the complexity of its environment, three layers of complexity are defined: the internal complexity which is the complexity of the complex system itself, the external complexity which is the complexity of the environment of the system (i.e., the complexity of the large- scale system in which the system is embedded) and the interface complexity which is defined at the interface of the system and its environment. For each complexity we suggest metrics and apply them to two examples. The examples of complex systems used are two surveillance radars: the first one is an Air Traffic Control radar, the second one is a maritime surveillance radar. The two large-scale systems in which the radars are embedded are therefore the air and the maritime transportation system. The internal complexity metrics takes into account the number of links, the number of elements, the function and hierarchy of the elements. The interface complexity metric is based upon the information content of the probability of failure of the system as it is used in its environment. The External complexity metric deals with the risk configuration of large- scale systems emphasizing the reliability and the tendency to catastrophe of the system. (cont.) The complexity metrics calculated based on specific analysis of the ATC radar are higher than those calculated for the maritime radar for all the three levels of complexity indicating that the external complexity is the source for the internal complexity. Thus, not surprisingly it appears that the technical complexity of a system mainly stems from the socio-political complexity of the large-scale system in which it is embedded. More interestingly, the more rigorous and quantitative complexity metrics (Internal and Interface) are approximately linearly related for these two systems. This result is potentially important enough to be tested over a wider variety of complex systems. by Pierre-Alain J.Y. Martin. S.M. 2006-03-29T18:29:31Z 2006-03-29T18:29:31Z 2004 2004 Thesis http://hdl.handle.net/1721.1/32270 61297838 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 95 p. 6756987 bytes 6761866 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Technology and Policy Program. Martin, Pierre-Alain J. Y A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title | A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title_full | A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title_fullStr | A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title_full_unstemmed | A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title_short | A framework for quantifying complexity and understanding its sources : application to tow large-scale systems |
| title_sort | framework for quantifying complexity and understanding its sources application to tow large scale systems |
| topic | Technology and Policy Program. |
| url | http://hdl.handle.net/1721.1/32270 |
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