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Volumn , Issue , 2008, Pages 67-74

Optimal approximation for the Submodular Welfare Problem in the value oracle model

Author keywords

Combinatorial auctions; Matroids; Submodular functions

Indexed keywords

APPROXIMATION ALGORITHMS; COMBINATORIAL MATHEMATICS; COMBINATORIAL OPTIMIZATION; COMPUTATION THEORY; MATRIX ALGEBRA;

EID: 57049187237     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1374376.1374389     Document Type: Conference Paper
Times cited : (543)

References (27)
  • 1
    • 4344588928 scopus 로고    scopus 로고
    • Pipage rounding: A new method of constructing algorithms with proven performance guarantee
    • A. Ageev and M. Sviridenko. Pipage rounding: a new method of constructing algorithms with proven performance guarantee, J. of Combinatorial Optimizations (2004), 307-328.
    • (2004) J. of Combinatorial Optimizations , pp. 307-328
    • Ageev, A.1    Sviridenko, M.2
  • 3
    • 35048858805 scopus 로고    scopus 로고
    • Maximum coverage problem with group budget constraints and applications
    • Proc. of APPROX
    • C. Chekuri and A. Kumar. Maximum coverage problem with group budget constraints and applications, Proc. of APPROX 2004, Lecture Notes in Computer Science 3122, 72-83.
    • (2004) Lecture Notes in Computer Science , vol.3122 , pp. 72-83
    • Chekuri, C.1    Kumar, A.2
  • 4
    • 33244457832 scopus 로고    scopus 로고
    • An improved approximation algorithm for combinatorial auctions with submodular bidders
    • th SODA (2006), 1064-1073.
    • (2006) th SODA , pp. 1064-1073
    • Dobzinski, S.1    Schapira, M.2
  • 6
    • 0032108328 scopus 로고    scopus 로고
    • A threshold of lnra for approximating Set Cover
    • U. Feige. A threshold of lnra for approximating Set Cover, Journal of the ACM 45 (1998), 634-652.
    • (1998) Journal of the ACM , vol.45 , pp. 634-652
    • Feige, U.1
  • 7
    • 33748101042 scopus 로고    scopus 로고
    • Maximizing social welfare when utility functions are subadditive
    • th STOC (2006), 41-50.
    • (2006) th STOC , pp. 41-50
    • Feige, U.1
  • 9
    • 38049051501 scopus 로고    scopus 로고
    • Approximation algorithms for combinatorial allocation problems: Improving the factor of 1 - 1/e
    • U. Feige and J. Vondrák. Approximation algorithms for combinatorial allocation problems: Improving the factor of 1 - 1/e, Proc. of 47th FOCS (2006), 667-676.
    • (2006) Proc. of 47th FOCS , pp. 667-676
    • Feige, U.1    Vondrák, J.2
  • 10
    • 0000335630 scopus 로고    scopus 로고
    • A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions
    • L. Fleischer, S. Fujishige and S. Iwata. A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions, Journal of the ACM 48:4 (2001), 761-777.
    • (2001) Journal of the ACM , vol.48 , Issue.4 , pp. 761-777
    • Fleischer, L.1    Fujishige, S.2    Iwata, S.3
  • 12
    • 57049160013 scopus 로고    scopus 로고
    • Revisiting the greedy approach to submodular set function maximization
    • manuscript
    • P. Goundan and A. Schulz, Revisiting the greedy approach to submodular set function maximization, manuscript (2007).
    • (2007)
    • Goundan, P.1    Schulz, A.2
  • 15
    • 33744918055 scopus 로고    scopus 로고
    • S. Khot, R. Lipton. E. Markakis and A. Mehta. Inapproximability results for combinatorial auctions with submodular utility functions, Proc. of WINE 2005, Lecture Notes in Computer Science 3828, 92-101.
    • S. Khot, R. Lipton. E. Markakis and A. Mehta. Inapproximability results for combinatorial auctions with submodular utility functions, Proc. of WINE 2005, Lecture Notes in Computer Science 3828, 92-101.
  • 17
    • 33645954279 scopus 로고    scopus 로고
    • Combinatorial auctions with decreasing marginal utilities (journal version)
    • B. Lehmann, D. J. Lehmann and N. Nisan. Combinatorial auctions with decreasing marginal utilities (journal version), Games and Economic Behavior 55 (2006), 270-296.
    • (2006) Games and Economic Behavior , vol.55 , pp. 270-296
    • Lehmann, B.1    Lehmann, D.J.2    Nisan, N.3
  • 18
    • 0002716901 scopus 로고    scopus 로고
    • Submodular functions and convexity
    • A. Bachem et al, editors, State of the Art
    • L. Lovász. Submodular functions and convexity. A. Bachem et al., editors, Mathematical Programmming: The State of the Art, 235-257.
    • Mathematical Programmming: The , pp. 235-257
    • Lovász, L.1
  • 19
    • 49049093432 scopus 로고    scopus 로고
    • Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
    • manuscript
    • V. Mirrokni. M. Schapira and J. Vondrák. Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions, manuscript (2007).
    • (2007)
    • Mirrokni, V.1    Schapira, M.2    Vondrák, J.3
  • 20
    • 0000095809 scopus 로고
    • An analysis of approximations for maximizing submodular set functions I
    • G. L. Nemhauser, L. A. Wolsey and M. L. Fisher. An analysis of approximations for maximizing submodular set functions I, Mathematical Programming 14 (1978), 265-294.
    • (1978) Mathematical Programming , vol.14 , pp. 265-294
    • Nemhauser, G.L.1    Wolsey, L.A.2    Fisher, M.L.3
  • 21
    • 0012523178 scopus 로고
    • An analysis of approximations for maximizing submodular set functions II
    • M. L. Fisher, G. L. Nemhauser and L. A. Wolsey. An analysis of approximations for maximizing submodular set functions II, Math. Programming Study 8 (1978), 73-87.
    • (1978) Math. Programming Study , vol.8 , pp. 73-87
    • Fisher, M.L.1    Nemhauser, G.L.2    Wolsey, L.A.3
  • 22
    • 0010814278 scopus 로고
    • Best algorithms for approximating the maximum of a submodular set function
    • G. L. Nemhauser and L. A. Wolsey. Best algorithms for approximating the maximum of a submodular set function, Math. Operations Research 3:3 (1978). 177-188.
    • (1978) Math. Operations Research , vol.3 , Issue.3 , pp. 177-188
    • Nemhauser, G.L.1    Wolsey, L.A.2
  • 23
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm minimizing submodular functions in strongly polynomial time
    • A. Schrijver. A combinatorial algorithm minimizing submodular functions in strongly polynomial time, Journal of Combinatorial Theory, Series B 80 (2000), 346-355.
    • (2000) Journal of Combinatorial Theory, Series B , vol.80 , pp. 346-355
    • Schrijver, A.1
  • 25
    • 0142029543 scopus 로고    scopus 로고
    • A note on maximizing a submodular set function subject to knapsack constraint
    • M. Sviridenko. A note on maximizing a submodular set function subject to knapsack constraint, Operations Research Letters 32 (2004), 41-43.
    • (2004) Operations Research Letters , vol.32 , pp. 41-43
    • Sviridenko, M.1
  • 26
    • 0142011932 scopus 로고
    • Maximizing real-valued submodular functions: Primal and dual heuristics for location problems
    • L. Wolsey. Maximizing real-valued submodular functions: Primal and dual heuristics for location problems. Math. of Operations Research 7 (1982), 410-425.
    • (1982) Math. of Operations Research , vol.7 , pp. 410-425
    • Wolsey, L.1
  • 27
    • 43849088675 scopus 로고    scopus 로고
    • Linear degree extractors and inapproximability
    • D. Zuckerman. Linear degree extractors and inapproximability, Theory of Computing 3 (2007), 103-128.
    • (2007) Theory of Computing , vol.3 , pp. 103-128
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.