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Volumn 123, Issue 2, 2000, Pages 333-345

Approximation algorithms for knapsack problems with cardinality constraints

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; DYNAMIC PROGRAMMING; INTEGER PROGRAMMING; LINEAR PROGRAMMING; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING;

EID: 0033879594     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00261-1     Document Type: Article
Times cited : (153)

References (23)
  • 2
    • 0000134883 scopus 로고
    • Fixed-parameter tractability and completeness I: Basic results
    • R.G. Downey, M.R. Fellows, Fixed-parameter tractability and completeness I: Basic results, SIAM Journal on Computing 24 (1995) 203-225.
    • (1995) SIAM Journal on Computing , vol.24 , pp. 203-225
    • Downey, R.G.1    Fellows, M.R.2
  • 3
    • 0029290085 scopus 로고
    • Fixed-parameter tractability and completeness II: On completeness for W[1]
    • R.G. Downey, M.R. Fellows, Fixed-parameter tractability and completeness II: On completeness for W[1], Theoretical Computer Science 141 (1995) 109-131.
    • (1995) Theoretical Computer Science , vol.141 , pp. 109-131
    • Downey, R.G.1    Fellows, M.R.2
  • 4
    • 38249021039 scopus 로고
    • A new linear storage polynomial-time approximation scheme for the subset-sum problem
    • M. Fischetti, A new linear storage polynomial-time approximation scheme for the subset-sum problem, Discrete Applied Mathematics 26 (1990) 61-77.
    • (1990) Discrete Applied Mathematics , vol.26 , pp. 61-77
    • Fischetti, M.1
  • 5
    • 0021127125 scopus 로고
    • Approximation algorithms for the m-dimensional 0-1 knapsack problem: Worstase and probabilistic analyses
    • A.M. Frieze, M.R.B. Clarke, Approximation algorithms for the m-dimensional 0-1 knapsack problem: Worstase and probabilistic analyses, European Journal of Operational Research 15 (1984) 100-109.
    • (1984) European Journal of Operational Research , vol.15 , pp. 100-109
    • Frieze, A.M.1    Clarke, M.R.B.2
  • 6
    • 0343846841 scopus 로고
    • Fast approximation algorithms for knapsack type problems
    • K. Iracki, K. Malinowski, S. Walukiewicz (Eds.), Springer, Berlin
    • G.V. Gens, E.V. Levner, Fast approximation algorithms for knapsack type problems, in: K. Iracki, K. Malinowski, S. Walukiewicz (Eds.), Optimization Techniques, Part 2 Lecture Notes in Control and Information Sciences, vol. 23, Springer, Berlin, 1980, pp. 185-194.
    • (1980) Optimization Techniques, Part 2 Lecture Notes in Control and Information Sciences , vol.23 , pp. 185-194
    • Gens, G.V.1    Levner, E.V.2
  • 7
    • 0016560084 scopus 로고
    • Fast approximation algorithms for the knapsack and sum of subset problems
    • O.H. Ibarra, C.E. Kim, Fast approximation algorithms for the knapsack and sum of subset problems, Journal of the ACM 22 (1975) 463-468.
    • (1975) Journal of the ACM , vol.22 , pp. 463-468
    • Ibarra, O.H.1    Kim, C.E.2
  • 8
    • 0012856604 scopus 로고    scopus 로고
    • A New Fully Polynomial Approximation Scheme for the Knapsack Problem
    • H. Kellerer, U. Pferschy, A New Fully Polynomial Approximation Scheme for the Knapsack Problem, Journal of Combinatorial Optimization 3 (1999) 59-71.
    • (1999) Journal of Combinatorial Optimization , vol.3 , pp. 59-71
    • Kellerer, H.1    Pferschy, U.2
  • 9
    • 0347209430 scopus 로고    scopus 로고
    • An efficient fully polynomial approximation scheme for the subset-sum problem
    • Faculty of Economics, University Graz, submitted
    • H. Kellerer, R. Mansini, U. Pferschy, M.G. Speranza, An efficient fully polynomial approximation scheme for the subset-sum problem, Technical Report, Faculty of Economics, University Graz, submitted,
    • Technical Report
    • Kellerer, H.1    Mansini, R.2    Pferschy, U.3    Speranza, M.G.4
  • 10
    • 0346579237 scopus 로고    scopus 로고
    • Proceedings of the 8th ISAAC Symposium
    • see also Proceedings of the 8th ISAAC Symposium, Springer Lecture Notes in Computer Science 1350 (1997) 394-403.
    • (1997) Springer Lecture Notes in Computer Science , vol.1350 , pp. 394-403
  • 11
    • 0012792757 scopus 로고
    • On the existence of fast approximation schemes
    • O.L. Mangasarian, R.R. Meyer, S.M. Robinson (Eds.), Aademic Press
    • B. Korte, R. Schrader, On the existence of fast approximation schemes, in: O.L. Mangasarian, R.R. Meyer, S.M. Robinson (Eds.), Nonlinear Programming 4, Aademic Press, 1981, pp. 415-437.
    • (1981) Nonlinear Programming , vol.4 , pp. 415-437
    • Korte, B.1    Schrader, R.2
  • 12
    • 0001099866 scopus 로고
    • Fast approximation algorithms for knapsack problems
    • E.G. Lawler, Fast approximation algorithms for knapsack problems, Mathematics of Operations Research 4 (1979) 339-356.
    • (1979) Mathematics of Operations Research , vol.4 , pp. 339-356
    • Lawler, E.G.1
  • 13
    • 0019633310 scopus 로고
    • A fully polynomial approximation algorithm for the 0-1 knapsack problem
    • M.J. Magazine, O. Oguz, A fully polynomial approximation algorithm for the 0-1 knapsack problem, European Journal of Operational Research 8 (1981) 270-273.
    • (1981) European Journal of Operational Research , vol.8 , pp. 270-273
    • Magazine, M.J.1    Oguz, O.2
  • 15
    • 0027602304 scopus 로고
    • Linear time algorithms for some separable quadratic programming problems
    • N. Megiddo, A. Tamir, Linear time algorithms for some separable quadratic programming problems, Operations Research Letters 13 (1993) 203-211.
    • (1993) Operations Research Letters , vol.13 , pp. 203-211
    • Megiddo, N.1    Tamir, A.2
  • 17
    • 33847531468 scopus 로고
    • A polynomial time approximation algorithm for the multidimensional knapsack problem
    • University of Waterloo, Waterloo, Ont.
    • O. Oguz, M.J. Magazine, A polynomial time approximation algorithm for the multidimensional knapsack problem, Working Paper, University of Waterloo, Waterloo, Ont., 1980.
    • (1980) Working Paper
    • Oguz, O.1    Magazine, M.J.2
  • 18
  • 19
    • 0004228502 scopus 로고    scopus 로고
    • A fast algorithm for strongly correlated knapsack problems
    • D. Pisinger, A fast algorithm for strongly correlated knapsack problems, Discrete Applied Mathematics 89 (1998) 197-212.
    • (1998) Discrete Applied Mathematics , vol.89 , pp. 197-212
    • Pisinger, D.1
  • 20
    • 0003285868 scopus 로고    scopus 로고
    • Knapsack problems
    • D.Z. Du, P. Pardalos (Eds.), Kluwer, Norwell, MA
    • D. Pisinger, P. Toth, Knapsack problems, in: D.Z. Du, P. Pardalos (Eds.), Handbook of Combinatorial Optimization, Kluwer, Norwell, MA, 1998, pp. 1-89.
    • (1998) Handbook of Combinatorial Optimization , pp. 1-89
    • Pisinger, D.1    Toth, P.2
  • 22
    • 0016437461 scopus 로고
    • Approximate algorithms for the knapsack problem
    • S. Sahni, Approximate algorithms for the knapsack problem, Journal of the ACM 22 (1975) 115-124.
    • (1975) Journal of the ACM , vol.22 , pp. 115-124
    • Sahni, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.