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Volumn 34, Issue 5, 1997, Pages 2028-2042

Application of Threshold-Accepting to the Evaluation of the Discrepancy of A Set of Points

Author keywords

Discrepancy; Number theoretic methods; Numerical integration; Threshold accepting

Indexed keywords


EID: 0000045173     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995286076     Document Type: Article
Times cited : (118)

References (22)
  • 2
    • 0000388213 scopus 로고
    • On the convergence of 'Threshold Accepting'
    • I. ALTHÖFER AND K.-U. KOSCHNICK, On the convergence of 'Threshold Accepting', Appl. Math. Optim., 24 (1991), pp. 183-195.
    • (1991) Appl. Math. Optim. , vol.24 , pp. 183-195
    • Althöfer, I.1    Koschnick, K.-U.2
  • 3
    • 0002884381 scopus 로고
    • A method for exact calculation of the discrepancy of low-dimensional finite point set (I)
    • P. BUNDSCHUH AND Y. C. ZHU, A method for exact calculation of the discrepancy of low-dimensional finite point set (I), Abh. Math. Sem. Univ. Hamburg, 63 (1993), pp. 115-133.
    • (1993) Abh. Math. Sem. Univ. Hamburg , vol.63 , pp. 115-133
    • Bundschuh, P.1    Zhu, Y.C.2
  • 4
    • 21344463710 scopus 로고
    • Optimal industrial classification by threshold accepting
    • J. S. CHIPMAN AND P. WINKER, Optimal industrial classification by threshold accepting, Control Cybernet., 24 (1995), pp. 477-494.
    • (1995) Control Cybernet. , vol.24 , pp. 477-494
    • Chipman, J.S.1    Winker, P.2
  • 5
    • 0000289845 scopus 로고
    • A method for exact calculation of the star-discrepancy of plane sets applied to the sequences of Hammersley
    • L. DE CLERK, A method for exact calculation of the star-discrepancy of plane sets applied to the sequences of Hammersley, Mh. Math., 101 (1986), pp. 261-278.
    • (1986) Mh. Math. , vol.101 , pp. 261-278
    • De Clerk, L.1
  • 6
    • 0347991077 scopus 로고
    • Principles for generating non-uniform random numbers
    • Bootstrapping and Related Techniques, K.-H. Jöckel, G. Rothe, and W. Sendler, eds., Springer-Verlag, Berlin
    • U. DIETER, Principles for generating non-uniform random numbers, in Bootstrapping and Related Techniques, K.-H. Jöckel, G. Rothe, and W. Sendler, eds., Lecture Notes in Economics and Mathematical Systems 376, Springer-Verlag, Berlin, 1992, pp. 3-12.
    • (1992) Lecture Notes in Economics and Mathematical Systems , vol.376 , pp. 3-12
    • Dieter, U.1
  • 7
    • 25144482720 scopus 로고
    • Threshold accepting: A general purpose algorithm appearing superior to simulated annealing
    • G. DUECK AND T. SCHEUER, Threshold accepting: A general purpose algorithm appearing superior to simulated annealing, J. Comp. Phys., 90 (1990), pp. 161-175.
    • (1990) J. Comp. Phys. , vol.90 , pp. 161-175
    • Dueck, G.1    Scheuer, T.2
  • 8
    • 84982449241 scopus 로고
    • New concepts and algorithms for portfolio choice
    • G. DUECK AND P. WINKER, New concepts and algorithms for portfolio choice, Appl. Stochastic Models Data Anal., 8 (1992), pp. 159-178.
    • (1992) Appl. Stochastic Models Data Anal. , vol.8 , pp. 159-178
    • Dueck, G.1    Winker, P.2
  • 11
    • 0001013260 scopus 로고
    • Discrépance de suites associées á un système de numération (en dimension s)
    • H. FAURE, Discrépance de suites associées á un système de numération (en dimension s), Acta Arith., 41 (1982), pp. 337-351.
    • (1982) Acta Arith. , vol.41 , pp. 337-351
    • Faure, H.1
  • 13
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. KIRKPATRICK, C. GELATT, AND M. VECCHI, Optimization by simulated annealing, Science, 220 (1983), pp. 671-680.
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.2    Vecchi, M.3
  • 14
    • 0347360796 scopus 로고
    • Application of diophantine approximations to numerical integration
    • C. F. Osgood, ed., Academic Press, New York
    • H. NIEDERREITER, Application of diophantine approximations to numerical integration, in Diophantine Approximation and Its Applications, C. F. Osgood, ed., Academic Press, New York, 1973, pp. 129-199.
    • (1973) Diophantine Approximation and Its Applications , pp. 129-199
    • Niederreiter, H.1
  • 15
    • 0002071152 scopus 로고
    • Low-discrepancy and low-dispersion sequences
    • H. NIEDERREITER, Low-discrepancy and low-dispersion sequences, J. Number Theory, 30 (1988), pp. 51-70.
    • (1988) J. Number Theory , vol.30 , pp. 51-70
    • Niederreiter, H.1
  • 17
    • 0010897026 scopus 로고
    • Lattice rules for multiple integration
    • Stochastic Optimization, K. Marti, ed., Springer-Verlag, Berlin
    • H. NIEDERREITER, Lattice rules for multiple integration, in Stochastic Optimization, K. Marti, ed., Lecture Notes in Economics and Mathematical Systems 379, Springer-Verlag, Berlin, 1992, pp. 15-26.
    • (1992) Lecture Notes in Economics and Mathematical Systems , vol.379 , pp. 15-26
    • Niederreiter, H.1
  • 18
    • 0346099815 scopus 로고
    • A modification of threshold accepting and its application to the quadratic assignment problem
    • V. NISSEN AND H. PAUL, A modification of threshold accepting and its application to the quadratic assignment problem, OR Spektrum, 17 (1995), pp. 205-210.
    • (1995) OR Spektrum , vol.17 , pp. 205-210
    • Nissen, V.1    Paul, H.2
  • 19
    • 0037960194 scopus 로고
    • Über die Gleichverteilung von Zahlen mod Eins
    • H. WEYL, Über die Gleichverteilung von Zahlen mod Eins, Math. Ann., 77 (1916), pp. 313-352.
    • (1916) Math. Ann. , vol.77 , pp. 313-352
    • Weyl, H.1
  • 20
    • 0001567344 scopus 로고
    • Identification of multivariate AR-models by threshold accepting
    • P. WINKER, Identification of multivariate AR-models by threshold accepting, Comput. Statist. Data Anal., 20 (1995), pp. 295-307.
    • (1995) Comput. Statist. Data Anal. , vol.20 , pp. 295-307
    • Winker, P.1
  • 21
    • 84919233869 scopus 로고
    • The Tuning of the Threshold Accepting Heuristic for Travelling Salesman Problems
    • Berlin
    • P. WINKER, The Tuning of the Threshold Accepting Heuristic for Travelling Salesman Problems, Paper presented at OR 94, Berlin, 1994.
    • (1994) OR , vol.94
    • Winker, P.1
  • 22
    • 0001616832 scopus 로고    scopus 로고
    • Optimal U-type designs
    • H. Niedeuveiter et al., eds., Lecture Notes in Statistics, Springer, New York, to appear
    • P. WINKER AND K.-T. FANG, Optimal U-type designs, in Proc. of MC&QMC 96, H. Niedeuveiter et al., eds., Lecture Notes in Statistics, Springer, New York, 1997, to appear.
    • (1997) Proc. of MC&QMC , vol.96
    • Winker, P.1    Fang, K.-T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.