메뉴 건너뛰기




Volumn 8, Issue 2, 1997, Pages 173-196

A Hypergraph Framework for Optimal Model-Based Decomposition of Design Problems

Author keywords

Decomposition; Hypergraph partitioning; Large scale design; Model decomposition; Multidisciplinary design

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; GRAPH THEORY; ITERATIVE METHODS; MATHEMATICAL MODELS;

EID: 0031224168     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008673321406     Document Type: Article
Times cited : (109)

References (67)
  • 4
    • 0001259868 scopus 로고
    • An algorithm for partitioning the nodes of a graph
    • E. Barnes, "An algorithm for partitioning the nodes of a graph," SIAM Journal on Algebraic Discrete Methods, vol. 3, no. 4, pp. 541-550, 1982.
    • (1982) SIAM Journal on Algebraic Discrete Methods , vol.3 , Issue.4 , pp. 541-550
    • Barnes, E.1
  • 5
  • 6
    • 0010825922 scopus 로고
    • Formal and heuristic system decomposition methods in multidisciplinary synthesis
    • C.L. Bloebaum, "Formal and heuristic system decomposition methods in multidisciplinary synthesis," NASA Contractor Report 4413, 1991.
    • (1991) NASA Contractor Report 4413
    • Bloebaum, C.L.1
  • 7
    • 33749260660 scopus 로고
    • Spectra, euclidean representations and clusterings of hypergraphs
    • M. Bolla, "Spectra, euclidean representations and clusterings of hypergraphs," Discrete Mathematics, vol. 117, pp. 19-39, 1993.
    • (1993) Discrete Mathematics , vol.117 , pp. 19-39
    • Bolla, M.1
  • 9
    • 51249170866 scopus 로고
    • Graph bisection algorithms with good average case behavior
    • T.N. Bui, S. Chauduri, F.T. Leighton, and M. Sipser, "Graph bisection algorithms with good average case behavior," Combinatorica, vol. 7, no. 2, pp. 171-191, 1987.
    • (1987) Combinatorica , vol.7 , Issue.2 , pp. 171-191
    • Bui, T.N.1    Chauduri, S.2    Leighton, F.T.3    Sipser, M.4
  • 11
    • 0028554836 scopus 로고
    • A fast and stable hybrid genetic algorithm for the ratio-cut partitioning problem on hypergraphs
    • T.N. Bui and B.R. Moon, "A fast and stable hybrid genetic algorithm for the ratio-cut partitioning problem on hypergraphs," in Proceedings 31th ACM/IEEE Design Automation Conference, pp. 664-669, 1994.
    • (1994) Proceedings 31th ACM/IEEE Design Automation Conference , pp. 664-669
    • Bui, T.N.1    Moon, B.R.2
  • 13
    • 0026923027 scopus 로고
    • Application of advanced multidisciplinary analysis and optimization methods to vehicle design synthesis
    • R.D. Consoli and J. Sobieszczanski-Sobieski, "Application of advanced multidisciplinary analysis and optimization methods to vehicle design synthesis," Journal of Aircraft, vol. 29, no. 5, pp. 811-818, 1992.
    • (1992) Journal of Aircraft , vol.29 , Issue.5 , pp. 811-818
    • Consoli, R.D.1    Sobieszczanski-Sobieski, J.2
  • 15
    • 0041977585 scopus 로고
    • Logic partitioning
    • B.T. Preas and M.J. Lorenzetti (Eds.), Benjamin Cummings: Menlo Park, California, Chap. 3
    • W.E. Donath, "Logic partitioning," Physical Design Automation of VLSI Systems, B.T. Preas and M.J. Lorenzetti (Eds.), Benjamin Cummings: Menlo Park, California, Chap. 3, 1988.
    • (1988) Physical Design Automation of VLSI Systems
    • Donath, W.E.1
  • 18
    • 0021784846 scopus 로고
    • A procedure for placement of standard-cell VLSI circuits
    • A. Dunlop and B.W. Kernighan, "A procedure for placement of standard-cell VLSI circuits," IEEE Transactions on Computer-Aided Design, vol. CAD-4, no. 1, pp. 92-98, 1985.
    • (1985) IEEE Transactions on Computer-Aided Design , vol.CAD-4 , Issue.1 , pp. 92-98
    • Dunlop, A.1    Kernighan, B.W.2
  • 22
    • 0027556252 scopus 로고
    • Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics
    • C. Farhat and M. Lesoinne, "Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics," International Journal for Numerical Methods in Engineering, vol. 36, pp. 745-764, 1993.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 745-764
    • Farhat, C.1    Lesoinne, M.2
  • 23
    • 0016127620 scopus 로고
    • Improving locality by critical working sets
    • D. Ferrari, "Improving locality by critical working sets," Communications of the ACM, vol. 17, no. 11, pp. 614-620, 1974.
    • (1974) Communications of the ACM , vol.17 , Issue.11 , pp. 614-620
    • Ferrari, D.1
  • 25
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler, "Algebraic connectivity of graphs," Czechoslovak Mathematics Journal, vol. 23, pp. 298-305, 1973.
    • (1973) Czechoslovak Mathematics Journal , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 26
    • 0042566833 scopus 로고
    • Laplacian of graphs and algebraic connectivity
    • Banach Center Publications: Warsaw
    • M. Fiedler, "Laplacian of graphs and algebraic connectivity," Combinatorics and Graph Theory, Banach Center Publications: Warsaw, vol. 25, pp. 57-70, 1989.
    • (1989) Combinatorics and Graph Theory , vol.25 , pp. 57-70
    • Fiedler, M.1
  • 27
    • 0002491487 scopus 로고
    • A polynomial algorithm for the k-Cut problem for fixed k
    • O. Goldschmidt and D. Hochbaum, "A polynomial algorithm for the k-Cut problem for fixed k," Mathematics of Operations Research, vol. 19, no. 1, pp. 24-37, 1994.
    • (1994) Mathematics of Operations Research , vol.19 , Issue.1 , pp. 24-37
    • Goldschmidt, O.1    Hochbaum, D.2
  • 28
    • 0026896810 scopus 로고
    • An efficient Eigenvector approach for finding netlist partitions
    • S. Hadley, B. Mark, and A. Vannelli, "An efficient Eigenvector approach for finding netlist partitions," IEEE Transactions on Computer-Aided Design, vol. 11, no. 7, pp. 885-892, 1992.
    • (1992) IEEE Transactions on Computer-Aided Design , vol.11 , Issue.7 , pp. 885-892
    • Hadley, S.1    Mark, B.2    Vannelli, A.3
  • 29
    • 0000290202 scopus 로고
    • A new lower bound via projection for the quadratic assignment problem
    • S. Hadley, F. Rendl, and H. Wolkowicz, "A new lower bound via projection for the quadratic assignment problem," Mathematics of Operations Research, vol. 17, no. 3, pp. 727-739, 1992.
    • (1992) Mathematics of Operations Research , vol.17 , Issue.3 , pp. 727-739
    • Hadley, S.1    Rendl, F.2    Wolkowicz, H.3
  • 31
    • 0000063845 scopus 로고
    • An improved spectral graph partitioning algorithm for mapping parallel computations
    • B. Hendrickson and R. Leland, "An improved spectral graph partitioning algorithm for mapping parallel computations," SIAM Journal on Scientific Computing, vol. 16, no. 2, pp. 452-469, 1995.
    • (1995) SIAM Journal on Scientific Computing , vol.16 , Issue.2 , pp. 452-469
    • Hendrickson, B.1    Leland, R.2
  • 32
    • 0003573801 scopus 로고
    • The Chaco user's guide version 2.0
    • Sandia National Labs, Albuquerque, New Mexico
    • B. Hendrickson and R. Leland, "The Chaco user's guide version 2.0," Technical Report SAND94-2692, Sandia National Labs, Albuquerque, New Mexico, 1995.
    • (1995) Technical Report SAND94-2692
    • Hendrickson, B.1    Leland, R.2
  • 33
    • 0003296427 scopus 로고
    • Test examples for nonlinear programming codes
    • M. Beckman and H.P. Kúnzi (Eds.), Springer-Verlag: Berlin
    • W Hock and K. Schittkowski, "Test examples for nonlinear programming codes," Lecture Notes in Economics and Mathematical Systems, no. 187, M. Beckman and H.P. Kúnzi (Eds.), Springer-Verlag: Berlin, 1981.
    • (1981) Lecture Notes in Economics and Mathematical Systems , Issue.187
    • Hock, W.1    Schittkowski, K.2
  • 34
    • 0024770085 scopus 로고
    • Optimization by simulated annealing: An experimental evaluation; part I, graph partitioning
    • D.S. Johnson, C.R. Aragon, L.A. McGeoch, and C. Schevon, "Optimization by simulated annealing: An experimental evaluation; part I, graph partitioning," Operations Research, vol. 37, no. 6, pp. 865-891, 1989.
    • (1989) Operations Research , vol.37 , Issue.6 , pp. 865-891
    • Johnson, D.S.1    Aragon, C.R.2    McGeoch, L.A.3    Schevon, C.4
  • 35
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • Feb.
    • B.W. Kernighan and S. Lin, "An efficient heuristic procedure for partitioning graphs," The Bell System Technical Journal, vol. 49, pp. 291-307, Feb. 1970.
    • (1970) The Bell System Technical Journal , vol.49 , pp. 291-307
    • Kernighan, B.W.1    Lin, S.2
  • 36
    • 0021425044 scopus 로고
    • An improved min-cut algorithm for partitioning VLSI networks
    • B. Krishnamurthy, "An improved min-cut algorithm for partitioning VLSI networks," IEEE Transactions on Computers, vol. C-33, no. 5, pp. 438-446, 1984.
    • (1984) IEEE Transactions on Computers , vol.C-33 , Issue.5 , pp. 438-446
    • Krishnamurthy, B.1
  • 38
    • 0027851207 scopus 로고
    • Decomposition of the design process
    • trans. ASME, Dec.
    • A. Kusiak and J. Wang, "Decomposition of the design process," trans. ASME, Journal of Mechanical Design, vol. 115, pp. 687-695, Dec. 1993.
    • (1993) Journal of Mechanical Design , vol.115 , pp. 687-695
    • Kusiak, A.1    Wang, J.2
  • 41
    • 0029369961 scopus 로고
    • A network reliability approach to optimal decomposition of design problems
    • Trans. ASME, Sept.
    • N. Michelena and P. Papalambros, "A network reliability approach to optimal decomposition of design problems," Trans. ASME, Journal of Mechanical Design, vol. 117, no. 3, pp. 433-440, Sept. 1995.
    • (1995) Journal of Mechanical Design , vol.117 , Issue.3 , pp. 433-440
    • Michelena, N.1    Papalambros, P.2
  • 42
    • 0029511923 scopus 로고
    • Optimal model-based partitioning of powertrain system design
    • Trans. ASME, Dec.
    • N. Michelena and P. Papalambros, "Optimal model-based partitioning of powertrain system design," Trans. ASME, Journal of Mechanical Design, vol. 117, no. 4, pp. 499-505, Dec. 1995.
    • (1995) Journal of Mechanical Design , vol.117 , Issue.4 , pp. 499-505
    • Michelena, N.1    Papalambros, P.2
  • 44
    • 0000011910 scopus 로고
    • Laplace eigenvalues of graphs - A survey
    • B. Mohar, "Laplace eigenvalues of graphs - A survey," Discrete Mathematics, vol. 109, pp. 171-183, 1992.
    • (1992) Discrete Mathematics , vol.109 , pp. 171-183
    • Mohar, B.1
  • 47
    • 0042387610 scopus 로고
    • A projection technique for partitioning the nodes of a graph
    • University of Waterloo, Canada
    • F. Rendl and H. Wolkowicz, "A projection technique for partitioning the nodes of a graph," Research Report CORR 90-20, University of Waterloo, Canada, 1990.
    • (1990) Research Report CORR 90-20
    • Rendl, F.1    Wolkowicz, H.2
  • 48
    • 0026679912 scopus 로고
    • Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem
    • F. Rendl and H. Wolkowicz, "Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem," Mathematical Programming, vol. 53, pp. 63-78, 1992.
    • (1992) Mathematical Programming , vol.53 , pp. 63-78
    • Rendl, F.1    Wolkowicz, H.2
  • 51
    • 0024481167 scopus 로고
    • Multiple-way network partitioning
    • L.A. Sanchis, "Multiple-way network partitioning," IEEE Transactions on Computers, vol. 38, no. 1, pp. 62-81, 1989.
    • (1989) IEEE Transactions on Computers , vol.38 , Issue.1 , pp. 62-81
    • Sanchis, L.A.1
  • 52
    • 0027845321 scopus 로고
    • Multiple-way network partitioning with different cost functions
    • L.A. Sanchis, "Multiple-way network partitioning with different cost functions," IEEE Transactions on Computers, vol. 42, no. 12, pp. 1500-1504, 1993.
    • (1993) IEEE Transactions on Computers , vol.42 , Issue.12 , pp. 1500-1504
    • Sanchis, L.A.1
  • 53
    • 44949282112 scopus 로고
    • Partitioning of unstructured problems for parallel processing
    • H. Simon, "Partitioning of unstructured problems for parallel processing," Computing Systems in Engineering, vol. 2, no. 2/3, pp. 135-148, 1991.
    • (1991) Computing Systems in Engineering , vol.2 , Issue.2-3 , pp. 135-148
    • Simon, H.1
  • 55
    • 0025207388 scopus 로고
    • Sensitivity of complex, internally coupled systems
    • Jan.
    • J. Sobieszczanski-Sobieski, "Sensitivity of complex, internally coupled systems," AIAA Journal, vol. 28, pp. 153-160, Jan. 1990.
    • (1990) AIAA Journal , vol.28 , pp. 153-160
    • Sobieszczanski-Sobieski, J.1
  • 56
    • 2342517075 scopus 로고
    • "Optimization by decomposition," Structural Optimization: Status and Promise
    • M.P. Kamat (Ed.)
    • J. Sobieszczanski-Sobieski, "Optimization by decomposition," Structural Optimization: Status and Promise, M.P. Kamat (Ed.), Progress in Astronautics and Aeronautics Series, vol. 150, pp. 487-515, 1993.
    • (1993) Progress in Astronautics and Aeronautics Series , vol.150 , pp. 487-515
    • Sobieszczanski-Sobieski, J.1
  • 58
    • 0019597497 scopus 로고
    • The design structure system: A method for managing the design of complex systems
    • D.V. Steward, "The design structure system: A method for managing the design of complex systems," IEEE Transactions on Engineering Management, vol. EM-28, no. 3, pp. 71-74, 1981.
    • (1981) IEEE Transactions on Engineering Management , vol.EM-28 , Issue.3 , pp. 71-74
    • Steward, D.V.1
  • 59
    • 0023979261 scopus 로고
    • An algorithm for quadrisection and its application to standard cell placement
    • P. Suaris and G. Kedem, "An algorithm for quadrisection and its application to standard cell placement," IEEE Transactions on Circuits and Systems, vol. 35, no. 3, pp. 294-303, 1988.
    • (1988) IEEE Transactions on Circuits and Systems , vol.35 , Issue.3 , pp. 294-303
    • Suaris, P.1    Kedem, G.2
  • 62
    • 0009353453 scopus 로고
    • Methods of cell formation in group technology: A framework for evaluation
    • A.J. Vakharia, "Methods of cell formation in group technology: A framework for evaluation," International Journal of Operations Management, vol. 6, no. 3, pp. 257-271, 1986.
    • (1986) International Journal of Operations Management , vol.6 , Issue.3 , pp. 257-271
    • Vakharia, A.J.1
  • 63
    • 0022680797 scopus 로고
    • A method for finding minimal bottleneck cells for grouping part-machine families
    • A. Vannelli and K. Kumar, "A method for finding minimal bottleneck cells for grouping part-machine families," International Journal of Production Research, vol. 24, pp. 387-400, 1986.
    • (1986) International Journal of Production Research , vol.24 , pp. 387-400
    • Vannelli, A.1    Kumar, K.2
  • 64
    • 0013014924 scopus 로고
    • Ph.D. dissertation, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Michigan
    • T.C. Wagner, A General Decomposition Methodology for Optimal System Design, Ph.D. dissertation, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Michigan, 1993.
    • (1993) A General Decomposition Methodology for Optimal System Design
    • Wagner, T.C.1
  • 65
    • 19244375720 scopus 로고
    • A general framework for decomposition analysis in optimal design
    • B.J. Gilmore (Ed.), ASME: New York
    • T.C. Wagner and P.Y. Papalambros, "A general framework for decomposition analysis in optimal design," Advances in Design Automation - 1993, B.J. Gilmore (Ed.), ASME: New York, vol. 2, pp. 315-325, 1993.
    • (1993) Advances in Design Automation - 1993 , vol.2 , pp. 315-325
    • Wagner, T.C.1    Papalambros, P.Y.2
  • 66
    • 0027838073 scopus 로고
    • Implementation of decomposition analysis in optimal design
    • B.J. Gilmore (Ed.), ASME: New York
    • T.C. Wagner and RY Papalambros, "Implementation of decomposition analysis in optimal design," Advances in Design Automation-1993, B.J. Gilmore (Ed.), ASME: New York, vol. 2, pp. 327-335, 1993.
    • (1993) Advances in Design Automation-1993 , vol.2 , pp. 327-335
    • Wagner, T.C.1    Papalambros, R.Y.2
  • 67
    • 0026191188 scopus 로고
    • Ratio cut partitioning for hierarchical designs
    • Y.C. Wei and C.K. Cheng, "Ratio cut partitioning for hierarchical designs," IEEE Transactions on Computer-Aided Design, vol. 10, no. 7, pp. 911-921, 1991.
    • (1991) IEEE Transactions on Computer-Aided Design , vol.10 , Issue.7 , pp. 911-921
    • Wei, Y.C.1    Cheng, C.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.