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Volumn 46, Issue 2, 2003, Pages 140-177

Analysis in distribution of two randomized algorithms for finding the maximum in a broadcast communication model

Author keywords

Analysis in distribution; Asymptotic normality; Binomial recurrence; Broadcast communication model; Dickman distribution; Method of moment

Indexed keywords

ASYMPTOTIC STABILITY; BROADCASTING; COMMUNICATION; METHOD OF MOMENTS; RECURSIVE FUNCTIONS;

EID: 0037666046     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-6774(02)00293-6     Document Type: Article
Times cited : (9)

References (35)
  • 2
    • 0002998733 scopus 로고    scopus 로고
    • Limit theorems for the number of maxima in random samples from planar regions
    • paper no. 3
    • Z.-D. Bai, H.-K. Hwang, W.-Q. Liang, T.-H. Tsai, Limit theorems for the number of maxima in random samples from planar regions, Electron. J. Probab. 6 (2001), paper no. 3, 41 p.
    • (2001) Electron. J. Probab. , vol.6 , pp. 41
    • Bai, Z.-D.1    Hwang, H.-K.2    Liang, W.-Q.3    Tsai, T.-H.4
  • 4
    • 0018522043 scopus 로고
    • Tree algorithms for packet broadcast channels
    • J.I. Capetanakis, Tree algorithms for packet broadcast channels, IEEE Trans. Inform. Theory IT-25 (1979) 505-515.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 505-515
    • Capetanakis, J.I.1
  • 5
    • 0035539863 scopus 로고    scopus 로고
    • Phase changes in random m-ary search trees and generalized quicksort
    • H.-H. Chern, H.-K. Hwang, Phase changes in random m-ary search trees and generalized quicksort, Random Structures Algorithms 19 (2001) 316-358.
    • (2001) Random Structures Algorithms , vol.19 , pp. 316-358
    • Chern, H.-H.1    Hwang, H.-K.2
  • 6
    • 0022683408 scopus 로고
    • Broadcast communications and distributed algorithms
    • R. Dechter, L. Kleinrock, Broadcast communications and distributed algorithms, IEEE Trans. Comput. C-35 (1986) 210-219.
    • (1986) IEEE Trans. Comput. , vol.C-35 , pp. 210-219
    • Dechter, R.1    Kleinrock, L.2
  • 7
    • 0001851198 scopus 로고
    • Application of the method of moments in probability and statistics
    • San Antonio, Texas, 1987, AMS, Providence, RI
    • P. Diaconis, Application of the method of moments in probability and statistics, in: Moments in Mathematics, San Antonio, Texas, 1987, AMS, Providence, RI, 1987, pp. 125-142.
    • (1987) Moments in Mathematics , pp. 125-142
    • Diaconis, P.1
  • 8
    • 0030364144 scopus 로고    scopus 로고
    • On the distribution for the duration of a randomized leader election algorithm
    • J. A. Fill, H. Mahmoud, W. Szpankowski, On the distribution for the duration of a randomized leader election algorithm, Ann. Appl. Probab. 6 (1996) 1260-1283.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 1260-1283
    • Fill, J.A.1    Mahmoud, H.2    Szpankowski, W.3
  • 9
    • 0007554179 scopus 로고    scopus 로고
    • Singularity analysis and asymptotics of Bernoulli sums
    • P. Flajolet, Singularity analysis and asymptotics of Bernoulli sums, Theoret. Comput. Sci. 215 (1999) 371-381.
    • (1999) Theoret. Comput. Sci. , vol.215 , pp. 371-381
    • Flajolet, P.1
  • 10
  • 11
    • 0000640693 scopus 로고
    • Singularity analysis of generating functions
    • P. Flajolet, A. Odlyzko, Singularity analysis of generating functions, SIAM J. Discrete Math. 3 (1990) 216-240.
    • (1990) SIAM J. Discrete Math. , vol.3 , pp. 216-240
    • Flajolet, P.1    Odlyzko, A.2
  • 14
    • 0010529924 scopus 로고    scopus 로고
    • An asymptotic study of a recursion occurring in the analysis of an algorithm on broadcast communication
    • P.J. Grabner, H. Prodinger, An asymptotic study of a recursion occurring in the analysis of an algorithm on broadcast communication, Inform. Process. Lett. 65 (1998) 89-93.
    • (1998) Inform. Process. Lett. , vol.65 , pp. 89-93
    • Grabner, P.J.1    Prodinger, H.2
  • 15
    • 0037163972 scopus 로고    scopus 로고
    • Sorting algorithms for broadcast communications: Mathematical analysis
    • P.J. Grabner, H. Prodinger, Sorting algorithms for broadcast communications: Mathematical analysis, Theoret. Comput. Sci. 289 (2002) 51-67.
    • (2002) Theoret. Comput. Sci. , vol.289 , pp. 51-67
    • Grabner, P.J.1    Prodinger, H.2
  • 17
    • 0040095805 scopus 로고    scopus 로고
    • Asymptotic estimates of elementary probability distributions
    • H.-K. Hwang, Asymptotic estimates of elementary probability distributions, Stud. Appl. Math. 99 (1997) 393-417.
    • (1997) Stud. Appl. Math. , vol.99 , pp. 393-417
    • Hwang, H.-K.1
  • 18
    • 0036766889 scopus 로고    scopus 로고
    • Phase change of limit laws in the quicksort recurrence under varying toll functions
    • H.-K. Hwang, R. Neininger, Phase change of limit laws in the quicksort recurrence under varying toll functions, SIAM J. Comput. 31 (2002) 1687-1722.
    • (2002) SIAM J. Comput. , vol.31 , pp. 1687-1722
    • Hwang, H.-K.1    Neininger, R.2
  • 20
    • 0002560302 scopus 로고    scopus 로고
    • Analytical depoissonization and its applications
    • P. Jacquet, W. Szpankowski, Analytical depoissonization and its applications, Theoret. Comput. Sci. 201 (1998) 1-62.
    • (1998) Theoret. Comput. Sci. , vol.201 , pp. 1-62
    • Jacquet, P.1    Szpankowski, W.2
  • 24
    • 0028516809 scopus 로고
    • Maximum finding on a multiple access broadcast network
    • C.U. Martel, Maximum finding on a multiple access broadcast network. Inform. Process. Lett. 52 (1994) 7-13.
    • (1994) Inform. Process. Lett. , vol.52 , pp. 7-13
    • Martel, C.U.1
  • 25
    • 0026244323 scopus 로고
    • Optimal prioritized conflict resolution on a multiple access channel
    • C.U. Martel, W. Moh, Optimal prioritized conflict resolution on a multiple access channel, IEEE Trans. Comput. 40 (1991) 1102-1108.
    • (1991) IEEE Trans. Comput. , vol.40 , pp. 1102-1108
    • Martel, C.U.1    Moh, W.2
  • 28
    • 84990666093 scopus 로고
    • Search for the maximum of a random walk
    • A.M. Odlyzko, Search for the maximum of a random walk, Random Structures Algorithms 6 (1995) 275-295.
    • (1995) Random Structures Algorithms , vol.6 , pp. 275-295
    • Odlyzko, A.M.1
  • 31
    • 0000789371 scopus 로고
    • How to select a loser
    • H. Prodinger, How to select a loser, Discrete Math. 120 (1993) 149-159.
    • (1993) Discrete Math. , vol.120 , pp. 149-159
    • Prodinger, H.1
  • 32
    • 0030261762 scopus 로고    scopus 로고
    • A fast maximum finding algorithm on broadcast communication
    • S.-H. Shiau, C.-B. Yang. A fast maximum finding algorithm on broadcast communication, Inform. Process. Lett. 60 (1996) 81-89.
    • (1996) Inform. Process. Lett. , vol.60 , pp. 81-89
    • Shiau, S.-H.1    Yang, C.-B.2
  • 35
    • 0032624710 scopus 로고    scopus 로고
    • Computational geometry on the broadcast communication model
    • C.-B. Yang, Computational geometry on the broadcast communication model, J. Inform. Sci. Eng. 15 (1999) 383-395.
    • (1999) J. Inform. Sci. Eng. , vol.15 , pp. 383-395
    • Yang, C.-B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.