메뉴 건너뛰기




Volumn , Issue , 2004, Pages 343-352

Typical properties of winners and losers in discrete optimization

Author keywords

Average case analysis; Optimization problems; Smoothed analysis

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; LINEAR PROGRAMMING; NUMBER THEORY; OPTIMIZATION; PERTURBATION TECHNIQUES; POLYNOMIALS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SCHEDULING; THEOREM PROVING;

EID: 4544343820     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1007352.1007409     Document Type: Conference Paper
Times cited : (23)

References (25)
  • 9
    • 0000207250 scopus 로고
    • Probabilistic analysis of the multidimensional knapsack problem
    • M. E. Dyer and A. M. Frieze. Probabilistic analysis of the multidimensional knapsack problem. Mathematics of Operations Research 14(1), 162-176, 1989.
    • (1989) Mathematics of Operations Research , vol.14 , Issue.1 , pp. 162-176
    • Dyer, M.E.1    Frieze, A.M.2
  • 13
    • 0022663555 scopus 로고
    • Average Case Complete Problems
    • L. A. Levin. Average Case Complete Problems. SIAM J. Cornput., 15(1):285-286, 1986.
    • (1986) SIAM J. Cornput. , vol.15 , Issue.1 , pp. 285-286
    • Levin, L.A.1
  • 14
    • 0012779077 scopus 로고
    • On the average difference between the solutions to linear and integer Knapsack problems
    • Birkhauser
    • G. S. Lueker. On the average difference between the solutions to linear and integer Knapsack Problems. Applied Probability - Computer Science, the Interface, 1, Birkhauser, 1982.
    • (1982) Applied Probability - Computer Science, the Interface , vol.1
    • Lueker, G.S.1
  • 15
    • 0012834885 scopus 로고    scopus 로고
    • Average-case analysis of off-line and on-line Knapsack problems
    • G. S. Lueker. Average-case analysis of Off-Line and On-Line Knapsack Problems. J. of Algorithms, 19, 277-305, 1998.
    • (1998) J. of Algorithms , vol.19 , pp. 277-305
    • Lueker, G.S.1
  • 16
    • 0032330947 scopus 로고    scopus 로고
    • Exponentially small bounds on the expected optimum of the partition and subset sum problems
    • G. S. Lueker. Exponentially small bounds on the expected optimum of the Partition and Subset Sum Problems. Random Structures and Algorithms, 12, 51-62, 1998.
    • (1998) Random Structures and Algorithms , vol.12 , pp. 51-62
    • Lueker, G.S.1
  • 18
    • 51249174825 scopus 로고
    • Matching is as easy as matrix inversion
    • K. Mulmuley, U. Vazirani and V.V. Vazirani. Matching is as easy as matrix inversion. Combinatorica 7(1):105-113, 1987.
    • (1987) Combinatorica , vol.7 , Issue.1 , pp. 105-113
    • Mulmuley, K.1    Vazirani, U.2    Vazirani, V.V.3
  • 20
    • 0028426653 scopus 로고
    • Some perturbation theory for linear programming
    • J. Renegar. Some perturbation theory for linear programming. Math. Programming, 65(1, Series A), 73-91, 1994.
    • (1994) Math. Programming , vol.65 , Issue.1 SERIES A , pp. 73-91
    • Renegar, J.1
  • 21
    • 0000208672 scopus 로고
    • Incorporating condition measures into the complexity of linear programming
    • J. Renegar. Incorporating condition measures into the complexity of linear programming. SIAM J. Optim., 5(3):506-524, 1995.
    • (1995) SIAM J. Optim. , vol.5 , Issue.3 , pp. 506-524
    • Renegar, J.1
  • 22
    • 0029195774 scopus 로고
    • Linear programming, complexity theory and elementary functional analysis
    • J. Renegar. Linear programming, complexity theory and elementary functional analysis. Math. Programming, 70(3, Series A), 279-351, 1995.
    • (1995) Math. Programming , vol.70 , Issue.3 SERIES A , pp. 279-351
    • Renegar, J.1
  • 24
    • 0034819504 scopus 로고    scopus 로고
    • Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial time
    • D. A. Spielman and S.-H. Teng. Smoothed Analysis of algorithms: why the Simplex Algorithm usually takes polynomial time. Proc. of the 33rd ACM Symp. on Theory of Computing, 296-305, 2001.
    • (2001) Proc. of the 33rd ACM Symp. on Theory of Computing , pp. 296-305
    • Spielman, D.A.1    Teng, S.-H.2
  • 25
    • 35248886169 scopus 로고    scopus 로고
    • Smoothed Analysis: Motivation and discrete models
    • D. A. Spielman and S.-H. Teng. Smoothed Analysis: Motivation and discrete models. Proc. of WADS 2003, 256-270, 2003.
    • (2003) Proc. of WADS 2003 , pp. 256-270
    • Spielman, D.A.1    Teng, S.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.