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Volumn 6, Issue 3, 1996, Pages 1006-1023

Ergodic theorems for some classical problems in combinatorial optimization

Author keywords

Boundary process; Combinatorial optimization; Minimal spanning tree; Subadditive ergodic theorems; Traveling salesman problem

Indexed keywords


EID: 0030518231     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034968238     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 84941395042 scopus 로고
    • Ergodic theorems for superadditive processes
    • AKCOGLU, M. A. and KRENGEL, U. (1981). Ergodic theorems for superadditive processes. J. Reine Angew. Math. 323 53-67.
    • (1981) J. Reine Angew. Math. , vol.323 , pp. 53-67
    • Akcoglu, M.A.1    Krengel, U.2
  • 2
    • 0001455013 scopus 로고
    • Asymptotics for Euclidean minimal spanning trees on random points
    • ALDOUS, D. and STEELE, J. M. (1992). Asymptotics for Euclidean minimal spanning trees on random points. Probab. Theory Related Fields 92 247-258.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 247-258
    • Aldous, D.1    Steele, J.M.2
  • 3
    • 0003185861 scopus 로고
    • The minimum spanning tree constant in geometric probability and under the independent model: A unified approach
    • AVRAM, F. and BERTSIMAS, D. (1992). The minimum spanning tree constant in geometric probability and under the independent model: a unified approach. Ann. Appl. Probab. 2 113-130.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 113-130
    • Avram, F.1    Bertsimas, D.2
  • 5
    • 0010275333 scopus 로고
    • Steinhaus's geometric location problem for random samples in the plane
    • HOCHBAUM, D. and STEELE, J. M. (1982). Steinhaus's geometric location problem for random samples in the plane. Adv. in Appl. Probab. 14 55-67.
    • (1982) Adv. in Appl. Probab. , vol.14 , pp. 55-67
    • Hochbaum, D.1    Steele, J.M.2
  • 6
    • 0001656464 scopus 로고
    • The ergodic theory of subadditive stochastic processes
    • KINGMAN, J. F. C. (1968). The ergodic theory of subadditive stochastic processes. J. Roy. Statist. Soc. Ser. B 30 499-510.
    • (1968) J. Roy. Statist. Soc. Ser. B , vol.30 , pp. 499-510
    • Kingman, J.F.C.1
  • 7
    • 38249036162 scopus 로고
    • Uniform pointwise ergodic theorems for classes of averaging sets and multi-parameter processes
    • KRENGEL, U. and PYKE, R. (1987). Uniform pointwise ergodic theorems for classes of averaging sets and multi-parameter processes. Stochastic Process. Appl. 26 289-296.
    • (1987) Stochastic Process. Appl. , vol.26 , pp. 289-296
    • Krengel, U.1    Pyke, R.2
  • 8
    • 0001313265 scopus 로고
    • Limit theorems and rates of convergence for Euclidean functionals
    • REDMOND, C. and YUKICH, J. E. (1994). Limit theorems and rates of convergence for Euclidean functionals. Ann. Appl. Probab. 4 1057-1073.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 1057-1073
    • Redmond, C.1    Yukich, J.E.2
  • 9
    • 0030077266 scopus 로고    scopus 로고
    • Asymptotics for Euclidean functionals with power weighted edges
    • REDMOND, C. and YUKICH, J. E. (1996). Asymptotics for Euclidean functionals with power weighted edges. Stochastic Process. Appl. 61 289-304.
    • (1996) Stochastic Process. Appl. , vol.61 , pp. 289-304
    • Redmond, C.1    Yukich, J.E.2
  • 10
    • 0001213874 scopus 로고
    • A matching problem and subadditive Euclidean functionals
    • RHEE, W. S. (1993). A matching problem and subadditive Euclidean functionals. Ann. Appl. Probab. 3 794-801.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 794-801
    • Rhee, W.S.1
  • 11
    • 0002318239 scopus 로고
    • Multiparameter subadditive processes
    • SMYTHE, R. T. (1976). Multiparameter subadditive processes. Ann. Probab. 4 772-782.
    • (1976) Ann. Probab. , vol.4 , pp. 772-782
    • Smythe, R.T.1
  • 12
    • 0001838523 scopus 로고
    • Subadditive Euclidean functionals and non-linear growth in geometric probability
    • STEELE, J. M. (1981). Subadditive Euclidean functionals and non-linear growth in geometric probability. Ann. Probab. 9 365-376.
    • (1981) Ann. Probab. , vol.9 , pp. 365-376
    • Steele, J.M.1
  • 13
    • 0000729159 scopus 로고
    • Growth rates of Euclidean minimal spanning trees with power weighted edges
    • STEELE, J. M. (1988). Growth rates of Euclidean minimal spanning trees with power weighted edges. Ann. Probab. 16 1767-1787.
    • (1988) Ann. Probab. , vol.16 , pp. 1767-1787
    • Steele, J.M.1
  • 14
    • 0011414323 scopus 로고
    • Seedlings in the theory of shortest paths
    • G. Grimmett and D. Welsh, eds. Cambridge Univ. Press
    • STEELE, J. M. (1990). Seedlings in the theory of shortest paths. In Disorder in Physical Systems: A Volume in Honor of J. M. Hammersley (G. Grimmett and D. Welsh, eds.) 277-306. Cambridge Univ. Press.
    • (1990) Disorder in Physical Systems: A Volume in Honor of J. M. Hammersley , pp. 277-306
    • Steele, J.M.1
  • 15
    • 0026679626 scopus 로고
    • Euclidean semi-matchings of random samples
    • STEELE, J. M. (1992). Euclidean semi-matchings of random samples. Mathematical Programming 3 127-146.
    • (1992) Mathematical Programming , vol.3 , pp. 127-146
    • Steele, J.M.1
  • 16
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • TALAGRAND, M. (1995). Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math. 81 73-205.
    • (1995) Inst. Hautes Études Sci. Publ. Math. , vol.81 , pp. 73-205
    • Talagrand, M.1
  • 17
    • 0030522124 scopus 로고    scopus 로고
    • A new look at independence
    • TALAGRAND, M. (1996a). A new look at independence. Ann. Probab. 24 1-34.
    • (1996) Ann. Probab. , vol.24 , pp. 1-34
    • Talagrand, M.1
  • 19
    • 0002924101 scopus 로고
    • The thermodynamic limit for long-range random systems
    • VAN ENTER, A. C. D. and VAN HEMMEN, J. L. (1983). The thermodynamic limit for long-range random systems. J. Statist. Phys. 32 141-152.
    • (1983) J. Statist. Phys. , vol.32 , pp. 141-152
    • Van Enter, A.C.D.1    Van Hemmen, J.L.2
  • 20
    • 21844508027 scopus 로고
    • Asymptotics for the Euclidean TSP with power weighted edges
    • YUKICH, J. E. (1995). Asymptotics for the Euclidean TSP with power weighted edges. Probab. Theory Related Fields 102 203-220.
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 203-220
    • Yukich, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.