메뉴 건너뛰기




Volumn 18, Issue 2, 2006, Pages 137-150

Integer linear programming models for global routing

Author keywords

Global routing; Integer programming; Linear programming; Linear relaxation; VLSI layout

Indexed keywords


EID: 33745725727     PISSN: 10919856     EISSN: 15265528     Source Type: Journal    
DOI: 10.1287/ijoc.1040.0127     Document Type: Article
Times cited : (12)

References (37)
  • 1
    • 0021899088 scopus 로고
    • Statistical cooling: A general approach to combinatorial optimization problems
    • Aarts, E. H. L., P. J. M. V. Laarhoven. 1985. Statistical cooling: A general approach to combinatorial optimization problems. Phillips J. Res. 4 193-226.
    • (1985) Phillips J. Res. , vol.4 , pp. 193-226
    • Aarts, E.H.L.1    Laarhoven, P.J.M.V.2
  • 4
    • 0034838605 scopus 로고    scopus 로고
    • An efficient Steiner tree algorithm for VLSI global routing
    • IEEE Press, Toronto, Ontario, Canada
    • Areibi, S., M. Xie, A. Vannelli. 2001. An efficient Steiner tree algorithm for VLSI global routing. Proc. Canadian Conf. Electrical and Comput. Engrg. IEEE Press, Toronto, Ontario, Canada, 1067-1072.
    • (2001) Proc. Canadian Conf. Electrical and Comput. Engrg. , pp. 1067-1072
    • Areibi, S.1    Xie, M.2    Vannelli, A.3
  • 5
    • 0036722256 scopus 로고    scopus 로고
    • A novel eigenvector technique for large scale combinatorial problems in VLSI layout
    • Behjat, L., D. Kucar, A. Vannelli. 2002. A novel eigenvector technique for large scale combinatorial problems in VLSI layout. J. Cambin. Optim. 6 271-286.
    • (2002) J. Cambin. Optim. , vol.6 , pp. 271-286
    • Behjat, L.1    Kucar, D.2    Vannelli, A.3
  • 9
    • 0031705566 scopus 로고    scopus 로고
    • Efficient algorithms for minimum shortest path Steiner arborescence problem with application to VLSI physical design
    • Cong, J., A. B. Kahng, K. Leung. 1998. Efficient algorithms for minimum shortest path Steiner arborescence problem with application to VLSI physical design. IEEE Trans. Comput.-Aided Design Integrated Circuits Systems 17 24-39.
    • (1998) IEEE Trans. Comput.-aided Design Integrated Circuits Systems , vol.17 , pp. 24-39
    • Cong, J.1    Kahng, A.B.2    Leung, K.3
  • 13
    • 0000120312 scopus 로고
    • Finding a maximum cut of a planar graph in polynomial time
    • Hadlock, E 1975. Finding a maximum cut of a planar graph in polynomial time. SIAM J. Comput. 4 221-225.
    • (1975) SIAM J. Comput. , vol.4 , pp. 221-225
    • Hadlock, E.1
  • 14
    • 0000814769 scopus 로고
    • Steiner's problem with rectilinear distance
    • Hanan, M. 1966. Steiner's problem with rectilinear distance. SIAM J. Appl. Math. 14 255-265.
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 255-265
    • Hanan, M.1
  • 17
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • Karmarkar, N. 1984. A new polynomial-time algorithm for linear programming. Combinatorica 4 373-395.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 20
    • 0026175767 scopus 로고
    • Benchmarks for layout synthesis-evaluation and current status
    • IEEE Press, Piscataway, NJ
    • Kozminski, K. 1991. Benchmarks for layout synthesis-evaluation and current status. Proc. 28th ACM/IEEE Design Automation Conf. IEEE Press, Piscataway, NJ, 265-270.
    • (1991) Proc. 28th ACM/IEEE Design Automation Conf. , pp. 265-270
    • Kozminski, K.1
  • 22
    • 84882536619 scopus 로고
    • An algorithm for path connection and its application
    • Lee, C. Y. 1961. An algorithm for path connection and its application. IRE Trans. Electronic Comput. 10 346-365.
    • (1961) IRE Trans. Electronic Comput. , vol.10 , pp. 346-365
    • Lee, C.Y.1
  • 24
    • 0034552291 scopus 로고    scopus 로고
    • Provably good global routing of integrated circuits
    • Lengauer, T., M. Lungering. 2000. Provably good global routing of integrated circuits. SIAM J. Optim. 11 1-30.
    • (2000) SIAM J. Optim. , vol.11 , pp. 1-30
    • Lengauer, T.1    Lungering, M.2
  • 25
    • 0022463446 scopus 로고
    • Convergence of an annealing algorithm
    • Lundy, M. 1986. Convergence of an annealing algorithm. Math. Programming 34 111-124.
    • (1986) Math. Programming , vol.34 , pp. 111-124
    • Lundy, M.1
  • 27
    • 0000561116 scopus 로고
    • On the implementation of a primal-dual interiorpoint method
    • Mehrotra, S. 1992. On the implementation of a primal-dual interiorpoint method. SIAM J. Optim. 2 575-601.
    • (1992) SIAM J. Optim. , vol.2 , pp. 575-601
    • Mehrotra, S.1
  • 29
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • Raghavan, P. 1988. Probabilistic construction of deterministic algorithms: Approximating packing integer programs. J. Comput. Sci. 37 130-143.
    • (1988) J. Comput. Sci. , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 30
    • 0004912503 scopus 로고
    • Multi-terminal global routing: A deterministic approximation scheme
    • Raghavan, P., C. D. Thompson. 1991. Multi-terminal global rout ing: A deterministic approximation scheme. Algorithmica 6 73-82.
    • (1991) Algorithmica , vol.6 , pp. 73-82
    • Raghavan, P.1    Thompson, C.D.2
  • 32
    • 0023314914 scopus 로고
    • A global router on a multi-commodity flow model
    • Shragowitz, E., S. Keel. 1987. A global router on a multi-commodity flow model. Interaction 5 3-16.
    • (1987) Interaction , vol.5 , pp. 3-16
    • Shragowitz, E.1    Keel, S.2
  • 33
    • 85047959964 scopus 로고
    • Fast maze router
    • IEEE Press, Piscataway, NJ
    • Soukup, J. 1978. Fast maze router. Proc. 15th Design Automation Conf. IEEE Press, Piscataway, NJ, 100-102.
    • (1978) Proc. 15th Design Automation Conf. , pp. 100-102
    • Soukup, J.1
  • 34
    • 0003551703 scopus 로고    scopus 로고
    • LOQO: An interior point code for quadratic programming
    • Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ
    • Vanderbei, R. 1998. LOQO: An interior point code for quadratic programming. Technical report, Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ.
    • (1998) Technical Report
    • Vanderbei, R.1
  • 35
    • 0004212718 scopus 로고    scopus 로고
    • An interior point algorithm for non-convex nonlinear programming
    • School of Engineering and Operational Research, Princeton University, Princeton, NJ
    • Vanderbei, R., D. F. Shanno. 1997. An interior point algorithm for non-convex nonlinear programming. Technical Report SOR-97-21, School of Engineering and Operational Research, Princeton University, Princeton, NJ.
    • (1997) Technical Report , vol.SOR-97-21
    • Vanderbei, R.1    Shanno, D.F.2
  • 36
    • 0026107601 scopus 로고
    • An adaptation of the interior point method for solving the global routing problem
    • Vannelli, A. 1991. An adaptation of the interior point method for solving the global routing problem. IEEE Trans. Comput.-Aided Design Integrated Circuits Systems 10 193-203.
    • (1991) IEEE Trans. Comput.-aided Design Integrated Circuits Systems , vol.10 , pp. 193-203
    • Vannelli, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.