{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,11]],"date-time":"2025-01-11T05:28:32Z","timestamp":1736573312810,"version":"3.32.0"},"reference-count":38,"publisher":"ASME International","issue":"3","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2006,9,1]]},"abstract":"<jats:p>In this paper, the application of visualization to aid in trade-off decisions when solving multi-objective optimization problems involving coupled subsystems under uncertainty is presented. The developed visualization method is an abstract way of representing these problems for use in a solution process where multiple resultant design points may exist. In these cases, a designer must consider potentially complex trade-off decisions in order to choose a point with which to proceed. Designers can examine the coupled subsystem design space under different uncertainty conditions through three-dimensional visual representations. Promising solution regions can be determined and explored down to a specific design point. As a result, the time to locate a trade-off solution for all subsystems has the potential to substantially decrease. This paper presents background into the type of problems being addressed as well as other visualization methods used in design. The method development is presented along with the results and discussion of a test case to illustrate the method\u2019s viability.<\/jats:p>","DOI":"10.1115\/1.2218370","type":"journal-article","created":{"date-parts":[[2006,8,16]],"date-time":"2006-08-16T22:02:41Z","timestamp":1155765761000},"page":"288-299","update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":17,"title":["A Multidimensional Visualization Interface to Aid in Trade-off Decisions During the Solution of Coupled Subsystems Under Uncertainty"],"prefix":"10.1115","volume":"6","author":[{"given":"Deepti","family":"Kanukolanu","sequence":"first","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kemper E.","family":"Lewis","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eliot H.","family":"Winer","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Virtual Reality Applications Center, Iowa State University, Ames, IA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2006,1,25]]},"reference":[{"key":"2019100413231321700_c1","doi-asserted-by":"crossref","DOI":"10.1115\/DETC2002\/DAC-34129","article-title":"New Concepts in Graphics Visualization of Objective Functions","volume-title":"Proceedings of the ASME DETC\/CIE Conference","author":"Simionescu"},{"article-title":"Design by Shopping: A New Paradigm?","volume-title":"Proceedings of the Third World Congress of Structural and Multidisciplinary Optimization","author":"Balling","key":"2019100413231321700_c2"},{"volume-title":"Manuale di Econ\u00f2mica Pol\u00ecttica","author":"Pareto","key":"2019100413231321700_c3"},{"volume-title":"Multicriteria Design Optimization","author":"Eschenauer","key":"2019100413231321700_c4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-48697-5"},{"volume-title":"Decisions With Multiple Objectives","author":"Keeney","key":"2019100413231321700_c5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139174084"},{"key":"2019100413231321700_c6","first-page":"117","article-title":"Three Methods for Determining Pareto-Optimal Solutions of Multiple-Objective Problems","volume-title":"in Directions in Large-Scale Systems","author":"Lin"},{"key":"2019100413231321700_c7","first-page":"39","article-title":"Comparative Properties of Collaborative Optimization and Other Approaches to MDO","volume-title":"ASMO UK\/ISSMO Conference on Engineering Design Optimization","author":"Alexandrov"},{"issue":"3","key":"2019100413231321700_c8","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1162\/pres.1992.1.3.279","article-title":"El Cine del Futuro: The Cinema of the Future","volume":"1","author":"Helig","journal-title":"Presence"},{"volume-title":"Silicon Mirage: The Art and Science of Virtual Reality","author":"Aukstakalnis","key":"2019100413231321700_c9"},{"issue":"12","key":"2019100413231321700_c10","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1115\/1.2005-DEC-3","article-title":"Joining the Pieces","volume":"127","journal-title":"Mech. Eng. (Am. Soc. Mech. Eng.)","ISSN":"https:\/\/id.crossref.org\/issn\/0025-6501","issn-type":"print"},{"key":"2019100413231321700_c11","first-page":"5","article-title":"The SCIRun Computational Steering Software System","volume-title":"Modern Software Tools for Scientific Computing","author":"Parker"},{"issue":"3","key":"2019100413231321700_c12","first-page":"224","article-title":"CUMULVS: Providing Fault-Tolerance, Visualization and Steering of Parallel Applications","volume":"11","author":"Geist","journal-title":"Int. J. High Perform. Comput. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/1094-3420","issn-type":"print"},{"key":"2019100413231321700_c13","first-page":"50","article-title":"Lightweight Computational Steering of Very Large Scale Molecular Dynamics Simulations","volume-title":"Proceedings of Supercomputing \u201896","author":"Beazley"},{"issue":"5","key":"2019100413231321700_c14","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1016\/S0167-739X(96)00029-5","article-title":"Computational Steering","volume":"12","author":"Van Liere","journal-title":"FGCS, Future Gener. Comput. Syst.","ISSN":"https:\/\/id.crossref.org\/issn\/0167-739X","issn-type":"print"},{"issue":"6","key":"2019100413231321700_c15","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1007\/s00158-002-0203-5","article-title":"Development of Visual Design Steering as an Aid in Large Scale Multidisciplinary Design Optimization\u2014Part I: method development","volume":"23","author":"Winer","journal-title":"Struct. Multidiscip. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1615-147X","issn-type":"print"},{"issue":"6","key":"2019100413231321700_c16","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1007\/s00158-002-0204-4","article-title":"Development of Visual Design Steering as an Aid in Large Scale Multidisciplinary Design Optimization\u2014Part II: method validation","volume":"23","author":"Winer","journal-title":"Struct. Multidiscip. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1615-147X","issn-type":"print"},{"issue":"3","key":"2019100413231321700_c17","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s001580100139","article-title":"Visual Design Steering for Optimization Solution Improvement","volume":"22","author":"Winer","journal-title":"Struct. Multidiscip. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1615-147X","issn-type":"print"},{"article-title":"Methods for Visual Mining of Data in Virtual Reality","volume-title":"Proceedings of the International Workshop on Visual Data Mining in Conjunction Second European Conference on Machine Learning and Fifth European Conference on Principles and Practice of Knowledge Discovery in Databases","author":"Nagel","key":"2019100413231321700_c18"},{"key":"2019100413231321700_c19","doi-asserted-by":"crossref","DOI":"10.1115\/DETC2001\/DAC-21094","article-title":"Effective Generation of Pareto Sets Using Genetic Programming","volume-title":"Proceedings of the ASME Design Technical Conferences, Design Automation Conference","author":"Eddy"},{"issue":"7","key":"2019100413231321700_c20","first-page":"57","article-title":"Glyphmaker: Creating Customized Visualizations of Complex Data","volume":"27","author":"Ribarsky","journal-title":"IEEE Trans. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/0018-9340","issn-type":"print"},{"key":"2019100413231321700_c21","first-page":"129","article-title":"The Influence Explorter","volume-title":"Proceedings of ACM CHI 95 Conference on Human Factors in Computing Systems","author":"Tweedie"},{"key":"2019100413231321700_c22","unstructured":"Miner3D Visual Data Analysis Software, 2006, http:\/\/miner3d.com"},{"key":"2019100413231321700_c23","unstructured":"Mondrian\u2013Interactive Statistical Data Visualization in Java, 2006, http:\/\/stats.math.uni-augsburg.de\/mondrian"},{"key":"2019100413231321700_c24","doi-asserted-by":"crossref","DOI":"10.2514\/6.2002-5622","article-title":"Multidimensional Visualization and Its Application to a Design by Shopping Paradigm","volume-title":"9th AIAA\/ISSMO Symposium on Multidisciplinary Analysis and Optimization","author":"Stump"},{"key":"2019100413231321700_c25","first-page":"76","article-title":"Worlds Within Worlds","volume-title":"ACM Symposium on User Interface Software and Technology","author":"Feiner"},{"key":"2019100413231321700_c26","unstructured":"Partek Pattern Recognition Software, 2006, http:\/\/www.partek.com"},{"key":"2019100413231321700_c27","unstructured":"Spotfire, Inc.\u2013Functional Genomics, 2006, http:\/\/www.spotfire.com\/products\/fg.asp"},{"issue":"1","key":"2019100413231321700_c28","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1109\/2945.582350","article-title":"Virtual Data Visualizer","volume":"3","author":"Telyingen","journal-title":"IEEE Trans. Vis. Comput. Graph.","ISSN":"https:\/\/id.crossref.org\/issn\/1077-2626","issn-type":"print"},{"issue":"5","key":"2019100413231321700_c29","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1109\/38.310723","article-title":"VisDB: Database Exploration using Multidimensional Visualization","volume":"14","author":"Keim","journal-title":"IEEE Trans. Vis. Comput. Graph.","ISSN":"https:\/\/id.crossref.org\/issn\/1077-2626","issn-type":"print"},{"key":"2019100413231321700_c30","first-page":"326","article-title":"Xmdvtool: Integrating Multiple Methods for Visualizing Multivariate Data","volume-title":"Proceedings of IEEE Visualization \u201994","author":"Ward"},{"issue":"1","key":"2019100413231321700_c31","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1080\/10618600.1998.10474764","article-title":"XGobi: Interactive Dynamic Data Visualization in the X-Window System","volume":"7","author":"Swayne","journal-title":"J. Comput. Graph. Stat.","ISSN":"https:\/\/id.crossref.org\/issn\/1061-8600","issn-type":"print"},{"issue":"4","key":"2019100413231321700_c32","doi-asserted-by":"crossref","first-page":"478","DOI":"10.1115\/1.2826915","article-title":"A Procedure for Robust Design","volume":"118","author":"Chen","journal-title":"ASME J. Mech. Des.","ISSN":"https:\/\/id.crossref.org\/issn\/1050-0472","issn-type":"print"},{"issue":"8","key":"2019100413231321700_c33","doi-asserted-by":"crossref","first-page":"982","DOI":"10.2514\/2.805","article-title":"A Robust Design Approach for Achieving Flexibility in Multidisciplinary Design","volume":"7","author":"Chen","journal-title":"AIAA J.","ISSN":"https:\/\/id.crossref.org\/issn\/0001-1452","issn-type":"print"},{"issue":"3","key":"2019100413231321700_c34","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/s001580050148","article-title":"Worst Case Propagated Uncertainty of Multidisciplinary Systems in Robust Design Optimization","volume":"20","author":"Gu","journal-title":"Struct. Multidiscip. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1615-147X","issn-type":"print"},{"key":"2019100413231321700_c35","doi-asserted-by":"crossref","DOI":"10.2514\/6.2002-5586","article-title":"Coupled Systems Design in Probabilistic Environments","volume-title":"9th AIAA\/USAF\/NASA\/ISSMO Symposium on Multidisciplinary Analysis and Optimization","author":"Halecki"},{"volume-title":"An Introduction to Computer Simulation Methods, Part 2, Applications to Physical Systems","author":"Gould","key":"2019100413231321700_c36","doi-asserted-by":"crossref","DOI":"10.1063\/1.4822668"},{"key":"2019100413231321700_c37","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/0022-2569(70)90064-9","article-title":"Optimal Synthesis Problems by Means of Nonlinear Programming and Random Methods","volume":"5","author":"Golinski","journal-title":"J. Mech.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-2569","issn-type":"print"},{"key":"2019100413231321700_c38","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1016\/0094-114X(73)90018-9","article-title":"An Adaptive Optimization System Applied to Machine Synthesis","volume":"8","author":"Golinski","journal-title":"Mech. Mach. Theory","ISSN":"https:\/\/id.crossref.org\/issn\/0094-114X","issn-type":"print"}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/6\/3\/288\/5627041\/288_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/6\/3\/288\/5627041\/288_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,10]],"date-time":"2025-01-10T13:27:03Z","timestamp":1736515623000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/6\/3\/288\/446681\/A-Multidimensional-Visualization-Interface-to-Aid"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1,25]]},"references-count":38,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,9,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.2218370","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"type":"print","value":"1530-9827"},{"type":"electronic","value":"1944-7078"}],"subject":[],"published":{"date-parts":[[2006,1,25]]}}}