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Volumn 359, Issue 1-3, 2006, Pages 400-417

Approximation schemes for scheduling and covering on unrelated machines

Author keywords

Approximation schemes; Covering; Derandomization; Multi objective scheduling; Randomized rounding

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; PARALLEL PROCESSING SYSTEMS; SCHEDULING;

EID: 33746374355     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2006.05.025     Document Type: Article
Times cited : (14)

References (29)
  • 1
    • 0032606578 scopus 로고    scopus 로고
    • F.N. Afrati, E. Bampis, C. Chekuri, D.R. Karger, C. Kenyon, S. Khanna, I. Milis, M. Queyranne, M. Sartinutella, C. Stein, M. Sviridenko, Approximation schemes for minimizing average weighted completion time with release dates, in: IEEE FOCS, 1999, pp. 32-44.
  • 2
    • 84874111301 scopus 로고    scopus 로고
    • E. Angel, E. Bampis, A. Kononov, A fptas for approximating the unrelated parallel machines scheduling problem with costs, in: ESA'01, Lecture Notes in Computer Science, Vol. 2161, 2001, pp. 194-205.
  • 3
    • 0041387627 scopus 로고    scopus 로고
    • On the approximate tradeoff for bicriteria batching and parallel machine scheduling problems
    • Angel E., Bampis E., and Kononov A. On the approximate tradeoff for bicriteria batching and parallel machine scheduling problems. Theoret. Comput. Sci. 306 (2003) 319-338
    • (2003) Theoret. Comput. Sci. , vol.306 , pp. 319-338
    • Angel, E.1    Bampis, E.2    Kononov, A.3
  • 4
    • 84958985957 scopus 로고    scopus 로고
    • Y. Azar, L. Epstein, Approximation schemes for covering and scheduling on related machines, in: Proc. of First APPROX, 1998, pp. 39-47.
  • 5
    • 0344236266 scopus 로고    scopus 로고
    • Metaheuristics in combinatorial optimization: overview and conceptual comparison
    • Blum C., and Roli A. Metaheuristics in combinatorial optimization: overview and conceptual comparison. ACM Comput. Surv. 35 3 (2003) 268-308
    • (2003) ACM Comput. Surv. , vol.35 , Issue.3 , pp. 268-308
    • Blum, C.1    Roli, A.2
  • 6
    • 0026881284 scopus 로고
    • The exact lpt-bound for maximizing the minimum completion time
    • Csirik J., Kellerer H., and Woeginger G. The exact lpt-bound for maximizing the minimum completion time. Oper. Res. Lett. 11 (1992) 281-287
    • (1992) Oper. Res. Lett. , vol.11 , pp. 281-287
    • Csirik, J.1    Kellerer, H.2    Woeginger, G.3
  • 7
    • 33746379429 scopus 로고    scopus 로고
    • P.S. Efraimidis, P.G. Spirakis, Randomized approximation schemes for scheduling unrelated parallel machines, Electron. Colloq. on Computational Complexity (ECCC) (007), 2000.
  • 8
    • 0019525220 scopus 로고
    • Analysis of greedy solutions for a replacement part sequencing problem
    • Friesen D.K., and L Deuermeyer B. Analysis of greedy solutions for a replacement part sequencing problem. Math. Oper. Res. 6 (1981) 74-87
    • (1981) Math. Oper. Res. , vol.6 , pp. 74-87
    • Friesen, D.K.1    L Deuermeyer, B.2
  • 10
    • 0030134272 scopus 로고    scopus 로고
    • Coordination complexity of parallel price-directive decomposition
    • Grigoriadis M., and Khachiyan L. Coordination complexity of parallel price-directive decomposition. Math. Oper. Res. 21 (1996) 317-327
    • (1996) Math. Oper. Res. , vol.21 , pp. 317-327
    • Grigoriadis, M.1    Khachiyan, L.2
  • 11
    • 33746331873 scopus 로고    scopus 로고
    • M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, B. Reed (Eds.), Probabilistic Methods for Algorithmic Discrete Mathematics, Springer, Berlin, 1998.
  • 12
    • 0002552417 scopus 로고    scopus 로고
    • Approximation algorithms for scheduling
    • Hochbaum D. (Ed), PWS Publishing Company (Chapter 1)
    • Hall L. Approximation algorithms for scheduling. In: Hochbaum D. (Ed). Approximation Algorithm for NP-hard Problems (1997), PWS Publishing Company (Chapter 1)
    • (1997) Approximation Algorithm for NP-hard Problems
    • Hall, L.1
  • 13
    • 18544363410 scopus 로고    scopus 로고
    • Optimal semi-online preemptive algorithms for machine covering on two uniform machines
    • He Y., and Jiang Y. Optimal semi-online preemptive algorithms for machine covering on two uniform machines. Theoret. Comput. Sci. 339 (2005) 293-314
    • (2005) Theoret. Comput. Sci. , vol.339 , pp. 293-314
    • He, Y.1    Jiang, Y.2
  • 14
    • 0036604772 scopus 로고    scopus 로고
    • Ordinal on-line scheduling for maximizing the minimum machine completion time
    • He Y., and Tan Z. Ordinal on-line scheduling for maximizing the minimum machine completion time. J. Combin. Optim. 6 2 (2002) 199-206
    • (2002) J. Combin. Optim. , vol.6 , Issue.2 , pp. 199-206
    • He, Y.1    Tan, Z.2
  • 15
    • 0022753024 scopus 로고
    • A unified approach to approximation algorithms for bottleneck problems
    • Hochbaum D., and Shmoys D.B. A unified approach to approximation algorithms for bottleneck problems. J. ACM 3 33 (1986) 533-550
    • (1986) J. ACM , vol.3 , Issue.33 , pp. 533-550
    • Hochbaum, D.1    Shmoys, D.B.2
  • 16
    • 0016943203 scopus 로고
    • Exact and approximate algorithms for scheduling nonidentical processors
    • Horowitz E., and Sahni S. Exact and approximate algorithms for scheduling nonidentical processors. J. ACM 23 (1976) 317-327
    • (1976) J. ACM , vol.23 , pp. 317-327
    • Horowitz, E.1    Sahni, S.2
  • 17
    • 0032650091 scopus 로고    scopus 로고
    • K. Jansen, L. Porkolab, Improved approximation schemes for scheduling unrelated parallel machines, in: ACM STOC, 1999, pp. 408-417.
  • 18
    • 84944067702 scopus 로고    scopus 로고
    • K. Jansen, M.I. Sviridenko, Polynomial time approximation schemes for the multiprocessor open and flow shop scheduling problem, Lecture Notes in Computer Science, Vol. 1770, Springer, Berlin, 2000, pp. 455-465.
  • 19
    • 0000438412 scopus 로고
    • Approximation algorithms for scheduling unrelated parallel machines
    • Lenstra J.K., Shmoys D.B., and Tardos E. Approximation algorithms for scheduling unrelated parallel machines. Math. Programming 46 (1990) 259-271
    • (1990) Math. Programming , vol.46 , pp. 259-271
    • Lenstra, J.K.1    Shmoys, D.B.2    Tardos, E.3
  • 20
    • 85055840680 scopus 로고    scopus 로고
    • J. Leung (Ed.), Handbook of Scheduling: Algorithms, Models and Performance Analysis, Chapman & Hall/CRC, Boca Raton, FL, London, 2004.
  • 21
    • 0006628906 scopus 로고    scopus 로고
    • The power of two random choices: a survey of techniques and results
    • Pardalos P.M., Rajasekaran S., Reif J., and Rolim J.D.P. (Eds), Kluwer Academic Publishers, Dordrecht
    • Mitzenmacher M., Richa A., and Sitaraman R. The power of two random choices: a survey of techniques and results. In: Pardalos P.M., Rajasekaran S., Reif J., and Rolim J.D.P. (Eds). Handbook of Randomized Algorithms (2001), Kluwer Academic Publishers, Dordrecht
    • (2001) Handbook of Randomized Algorithms
    • Mitzenmacher, M.1    Richa, A.2    Sitaraman, R.3
  • 23
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: approximating packing integer programs
    • Raghavan P. Probabilistic construction of deterministic algorithms: approximating packing integer programs. J. Comput. System Sci. 37 (1988) 130-143
    • (1988) J. Comput. System Sci. , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 24
    • 33746360408 scopus 로고    scopus 로고
    • P. Schuurman, G.J. Woeginger, Approximation schemes-a tutorial, in: R.H. Moehring, C.N. Potts, A.S. Schulz, G.J. Woeginger, L.A. Wolsey (Eds.), Lectures on Scheduling, to appear, http://www.win.tue.nl/∼egwoegi/papers/ptas.ps.
  • 25
    • 0042983554 scopus 로고    scopus 로고
    • Polynomial time approximation algorithms for machine scheduling: ten open problems
    • Schuurman P., and Woeginger G.J. Polynomial time approximation algorithms for machine scheduling: ten open problems. J. Scheduling 2 (1999) 203-213
    • (1999) J. Scheduling , vol.2 , pp. 203-213
    • Schuurman, P.1    Woeginger, G.J.2
  • 26
    • 0038309442 scopus 로고
    • An approximation algorithm for the generalized assignment problem
    • Shmoys D., and Tardos E. An approximation algorithm for the generalized assignment problem. Math. Programming A62 (1993) 461-474
    • (1993) Math. Programming , vol.A62 , pp. 461-474
    • Shmoys, D.1    Tardos, E.2
  • 27
    • 33244463908 scopus 로고    scopus 로고
    • How asymmetry helps load balancing
    • Vöcking B. How asymmetry helps load balancing. J. ACM 50 4 (2003) 568-589
    • (2003) J. ACM , vol.50 , Issue.4 , pp. 568-589
    • Vöcking, B.1
  • 28
    • 0000080996 scopus 로고    scopus 로고
    • A polynomial-time approximation scheme for maximizing the minimum machine completion time
    • Woeginger G.J. A polynomial-time approximation scheme for maximizing the minimum machine completion time. Oper. Res. Lett. 20 4 (1997) 149-154
    • (1997) Oper. Res. Lett. , vol.20 , Issue.4 , pp. 149-154
    • Woeginger, G.J.1
  • 29
    • 0035181264 scopus 로고    scopus 로고
    • N.E. Young, Sequential and parallel algorithms for mixed packing and covering, in: IEEE FOCS, 2001, pp. 538-546.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.