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Volumn 9, Issue 3, 1999, Pages 779-802

Simulated annealing: Searching for an optimal temperature schedule

Author keywords

Convergence; Cooling; Fundamental matrix; Inhomogeneous chain; Markov chain; Simulated annealing; Temperature; Time to absorption

Indexed keywords


EID: 0033418030     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623497329683     Document Type: Article
Times cited : (103)

References (29)
  • 4
    • 0006842454 scopus 로고
    • On the limit behaviour of extreme order statistics
    • O. BARNDORFF-NIELSEN, On the limit behaviour of extreme order statistics, Ann. Math. Statist., 34 (1963), pp. 992-1002.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 992-1002
    • Barndorff-Nielsen, O.1
  • 5
    • 0024104975 scopus 로고
    • On the convergence rate of annealing processes
    • T. S. CHIANG AND Y. CHOW On the convergence rate of annealing processes, SIAM J. Control Optim., 26 (1988), pp. 1455-1470.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1455-1470
    • Chiang, T.S.1    Chow, Y.2
  • 6
    • 0040252724 scopus 로고
    • On a paper by doeblin on non-homogeneous Markov chains
    • H. COHN, On a paper by Doeblin on non-homogeneous Markov chains, Adv. Appl. Prob., 13 (1981), pp. 388-401.
    • (1981) Adv. Appl. Prob. , vol.13 , pp. 388-401
    • Cohn, H.1
  • 7
    • 84975994841 scopus 로고
    • On a class of non-homogeneous Markov chains
    • H. COHN, On a class of non-homogeneous Markov chains, Math. Proc. Cambridge Philos. Soc., 92 (1982), pp. 527-534.
    • (1982) Math. Proc. Cambridge Philos. Soc. , vol.92 , pp. 527-534
    • Cohn, H.1
  • 8
    • 26444436429 scopus 로고
    • Products of stochastic matrices and applications
    • H. COHN, Products of stochastic matrices and applications, Internat. J. Math Math. Sci., 12 (1988), pp. 209-233.
    • (1988) Internat. J. Math Math. Sci. , vol.12 , pp. 209-233
    • Cohn, H.1
  • 9
    • 0025699777 scopus 로고
    • An improved annealing scheme for the QAP
    • D. T. CONNOLLY, An improved annealing scheme for the QAP, European J. Oper. Res., 46 (1990), pp. 93-100.
    • (1990) European J. Oper. Res. , vol.46 , pp. 93-100
    • Connolly, D.T.1
  • 10
    • 84974381064 scopus 로고
    • Balance of recurrence order in time-inhomogeneous Markov chains with applications to simulated annealing
    • D. P. CONNORS AND P. R. KUMAR, Balance of recurrence order in time-inhomogeneous Markov chains with applications to simulated annealing, Probab. Engrg. Inform. Sci., 2 (1988), pp. 157-184.
    • (1988) Probab. Engrg. Inform. Sci. , vol.2 , pp. 157-184
    • Connors, D.P.1    Kumar, P.R.2
  • 12
    • 0021518209 scopus 로고
    • Stochastic relaxation, gibbs distributions, and the Bayesian restoration of images
    • S. GEMAN AND D. GEMAN, Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images, IEEE Trans. Pattern. Anal. Machine Intelligence, 6 (1984), pp. 721-741.
    • (1984) IEEE Trans. Pattern. Anal. Machine Intelligence , vol.6 , pp. 721-741
    • Geman, S.G.1
  • 14
    • 0026220441 scopus 로고
    • Solution of large-scale symmetric traveling salesman problems
    • M. GRÖTSCHEL AND O. HOLLAND, Solution of large-scale symmetric traveling salesman problems, Math. Programming, 51 (1991), pp. 141-202.
    • (1991) Math. Programming , vol.51 , pp. 141-202
    • Grötschel, M.1    Holland, O.2
  • 15
    • 0024012393 scopus 로고
    • Cooling schedules for optimal annealing
    • B. HAJEK, Cooling schedules for optimal annealing, J. Math. Oper. Res., 13 (1988), pp. 311-329.
    • (1988) J. Math. Oper. Res. , vol.13 , pp. 311-329
    • Hajek, B.1
  • 16
    • 0000719689 scopus 로고
    • Singular perturbed Markov chains and the exact behaviors of simulated annealing processes
    • C. R. HWANG AND S. J. SHEU, Singular perturbed Markov chains and the exact behaviors of simulated annealing processes, J. Theoret. Probab., 5 (1992), pp. 223-249.
    • (1992) J. Theoret. Probab. , vol.5 , pp. 223-249
    • Hwang, C.R.1    Sheu, S.J.2
  • 17
    • 0001180180 scopus 로고
    • A heuristic approach to solving traveling salesman problems
    • R. L. KARG AND G. L. THOMPSON, A heuristic approach to solving traveling salesman problems, J. Management Sci., 10 (1964), pp. 225-248.
    • (1964) J. Management Sci. , vol.10 , pp. 225-248
    • Karg, R.L.1    Thompson, G.L.2
  • 19
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. KIRKPATRICK, C. D. GELLAT, AND M. P. VECCHI Optimization by simulated annealing, Science, 220 (1983), pp. 671-680.
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gellat, C.D.2    Vecchi, M.P.3
  • 20
    • 0343136966 scopus 로고
    • Optimization by simulated annealing: Quantitative studies
    • S. KIRKPATRlCK, Optimization by simulated annealing: Quantitative studies, J. Statist. Phys., 34 (1983), pp. 975-986.
    • (1983) J. Statist. Phys. , vol.34 , pp. 975-986
    • Kirkpatrlck, S.1
  • 21
    • 0015055178 scopus 로고
    • A man-machine approach toward solving the traveling salesman problem
    • P. D. KROLAK, W. FELTS, AND G. MARBLE, A man-machine approach toward solving the traveling salesman problem, Comm. ACM, 14 (1971), pp. 327-334.
    • (1971) Comm. ACM , vol.14 , pp. 327-334
    • Krolak, P.D.1    Felts, W.2    Marble, G.3
  • 22
    • 0015604699 scopus 로고
    • An effective heuristic algorithm for the traveling salesman problem
    • S. LIN AND B. W. KERNIGHAN, An effective heuristic algorithm for the traveling salesman problem, J. Oper. Res., 21 (1973), pp. 498-516.
    • (1973) J. Oper. Res. , vol.21 , pp. 498-516
    • Lin, S.1    Kernighan, B.W.2
  • 23
    • 0022463446 scopus 로고
    • Convergence of an annealing algorithm
    • M. LUNDY AND A. MEES Convergence of an annealing algorithm, Math. Programming, 34 (1986), pp. 111-124.
    • (1986) Math. Programming , vol.34 , pp. 111-124
    • Lundy, M.1    Mees, A.2
  • 25
    • 0040847218 scopus 로고
    • A new result on the convergence of non-homogeneous Markov chains
    • A. MUKHERJEA, A new result on the convergence of non-homogeneous Markov chains, Trans. Amer. Math. Soc., 90 (1981), pp. 167-182.
    • (1981) Trans. Amer. Math. Soc. , vol.90 , pp. 167-182
    • Mukherjea, A.1
  • 26
    • 0040252723 scopus 로고    scopus 로고
    • Limit distributions of simulated annealing Markov chains
    • W. NIEMIRO, Limit distributions of simulated annealing Markov chains, Disc. Math. Algebra Stochastic Methods, 15 (1997), pp. 241-269.
    • (1997) Disc. Math. Algebra Stochastic Methods , vol.15 , pp. 241-269
    • Niemiro, W.1
  • 27
    • 0039068907 scopus 로고
    • Tail events of some non-homogeneous Markov chains
    • W. NIEMIRO AND P. POKAROWSKI, Tail events of some non-homogeneous Markov chains, Ann. Appl. Probab., 5 (1995), pp. 261-293.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 261-293
    • Niemiro, W.1    Pokarowski, P.2
  • 28
    • 0022219497 scopus 로고    scopus 로고
    • Probabilistic hill climbing algorithms: Properties and applications
    • H. Fuchs, ed., Computer Science Press, Rockville, MD
    • F. ROMEO AND A. SANGIOVANNI-VINCENTELLI, Probabilistic hill climbing algorithms: Properties and applications, Proc. Chapel Hill Conference on VLSI, H. Fuchs, ed., Computer Science Press, Rockville, MD, 1985, pp. 393-417.
    • Proc. Chapel Hill Conference on VLSI , vol.1985 , pp. 393-417
    • Romeo, F.1    Sangiovanni-Vincentelli, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.