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Volumn 382, Issue 2, 2007, Pages 151-156

Approximation schemes for a class of subset selection problems

Author keywords

Approximation algorithm; Approximation scheme; Combinatorial optimization; FPTAS; Pseudo polynomial algorithm; Scheduling theory; Worst case analysis

Indexed keywords

APPROXIMATION ALGORITHMS; BRANCH AND BOUND METHOD; COMBINATORIAL OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; SCHEDULING ALGORITHMS;

EID: 34547496200     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2007.03.006     Document Type: Article
Times cited : (40)

References (21)
  • 5
    • 0019633768 scopus 로고
    • Fast approximation algorithms for job sequencing with deadlines
    • Gens G.V., and Levner E.V. Fast approximation algorithms for job sequencing with deadlines. Discrete Applied Mathematics 3 (1981) 313-318
    • (1981) Discrete Applied Mathematics , vol.3 , pp. 313-318
    • Gens, G.V.1    Levner, E.V.2
  • 7
    • 0002777817 scopus 로고
    • Approximation schemes for the restricted shortest path problem
    • Hassin R. Approximation schemes for the restricted shortest path problem. Mathematics of Operations Research 17 (1992) 36-42
    • (1992) Mathematics of Operations Research , vol.17 , pp. 36-42
    • Hassin, R.1
  • 9
    • 0016047180 scopus 로고
    • Computing partitions with applications to the knapsack problem
    • Horowitz E., and Sahni S. Computing partitions with applications to the knapsack problem. Journal of the ACM 21 (1974) 277-292
    • (1974) Journal of the ACM , vol.21 , pp. 277-292
    • Horowitz, E.1    Sahni, S.2
  • 10
    • 0016943203 scopus 로고
    • Exact and approximate algorithms for scheduling nonidentical processors
    • Horowitz E., and Sahni S. Exact and approximate algorithms for scheduling nonidentical processors. Journal of the ACM 23 (1976) 317-327
    • (1976) Journal of the ACM , vol.23 , pp. 317-327
    • Horowitz, E.1    Sahni, S.2
  • 11
    • 0016560084 scopus 로고
    • Fast approximation algorithms for the knapsack and sum of subset problems
    • Ibarra O., and Kim C.E. 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.1    Kim, C.E.2
  • 12
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • Miller R.E., and Thatcher J.W. (Eds), Plenum Press, New York
    • Karp R.M. Reducibility among combinatorial problems. In: Miller R.E., and Thatcher J.W. (Eds). Complexity of Computer Computations (1972), Plenum Press, New York 85-104
    • (1972) Complexity of Computer Computations , pp. 85-104
    • Karp, R.M.1
  • 13
    • 0001099866 scopus 로고
    • Fast approximation schemes for knapsack problems
    • Lawler E.L. Fast approximation schemes for knapsack problems. Mathematics of Operations Research 4 (1979) 339-356
    • (1979) Mathematics of Operations Research , vol.4 , pp. 339-356
    • Lawler, E.L.1
  • 14
    • 0000889797 scopus 로고
    • A dynamic programming algorithm for preemptive scheduling of a single machine to minimize the number of late jobs
    • Lawler E.L. A dynamic programming algorithm for preemptive scheduling of a single machine to minimize the number of late jobs. Annals of Operations Research 26 (1990) 125-133
    • (1990) Annals of Operations Research , vol.26 , pp. 125-133
    • Lawler, E.L.1
  • 15
    • 0345901561 scopus 로고
    • Sequencing and scheduling: Algorithms and complexity
    • Logistics of Production and Inventory. Graves S.C., Rinnooy Kan A.H.G., and Zipkin P.H. (Eds), North-Holland, Amsterdam
    • Lawler E.L., Lenstra J.K., Rinnooy Kan A.H.G., and Shmoys D.B. Sequencing and scheduling: Algorithms and complexity. In: Graves S.C., Rinnooy Kan A.H.G., and Zipkin P.H. (Eds). Logistics of Production and Inventory. Handbooks in Operations Research and Management Science vol. 4 (1993), North-Holland, Amsterdam 445-522
    • (1993) Handbooks in Operations Research and Management Science , vol.4 , pp. 445-522
    • Lawler, E.L.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3    Shmoys, D.B.4
  • 16
    • 0014571702 scopus 로고
    • A functional equation and its application to resource allocation and sequencing problems
    • Lawler E.L., and Moore J.M. A functional equation and its application to resource allocation and sequencing problems. Management Science 16 (1969) 77-84
    • (1969) Management Science , vol.16 , pp. 77-84
    • Lawler, E.L.1    Moore, J.M.2
  • 17
    • 0035364530 scopus 로고    scopus 로고
    • A simple efficient approximation scheme for the restricted shortest path problem
    • Lorenz D.H., and Raz D. A simple efficient approximation scheme for the restricted shortest path problem. Operations Research Letters 28 (2001) 213-219
    • (2001) Operations Research Letters , vol.28 , pp. 213-219
    • Lorenz, D.H.1    Raz, D.2
  • 19
    • 0016883405 scopus 로고
    • Algorithms for scheduling independent tasks
    • Sahni S. Algorithms for scheduling independent tasks. Journal of the ACM 23 (1976) 116-127
    • (1976) Journal of the ACM , vol.23 , pp. 116-127
    • Sahni, S.1
  • 20
    • 0023207978 scopus 로고
    • Approximation of pareto optima in multiple-objective shortest path problems
    • Warburton A. Approximation of pareto optima in multiple-objective shortest path problems. Operations Research 35 (1987) 70-79
    • (1987) Operations Research , vol.35 , pp. 70-79
    • Warburton, A.1
  • 21
    • 0007604993 scopus 로고    scopus 로고
    • When does a dynamic programming formulation guarantee the existence of a fully polynomial time approximation scheme (FPTAS)?
    • Woeginger G.J. When does a dynamic programming formulation guarantee the existence of a fully polynomial time approximation scheme (FPTAS)?. INFORMS Journal on Computing 12 (2000) 57-75
    • (2000) INFORMS Journal on Computing , vol.12 , pp. 57-75
    • Woeginger, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.