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Volumn 31, Issue 1, 2001, Pages 146-166

Approximation techniques for average completion time scheduling

Author keywords

Approximation algorithms; Parallel machine scheduling; Precedence constraints; Release dates; Scheduling

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; LINEAR PROGRAMMING; ONLINE SYSTEMS; SCHEDULING; TREES (MATHEMATICS);

EID: 0036213040     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539797327180     Document Type: Article
Times cited : (114)

References (35)
  • 1
    • 0002283083 scopus 로고
    • Single machine job sequencing with precedence constraints
    • D.L. ADOLPHSON, Single machine job sequencing with precedence constraints, SIAM J Comput., 6 (1977), pp. 40-54.
    • (1977) SIAM J Comput. , vol.6 , pp. 40-54
    • Adolphson, D.L.1
  • 6
    • 0001808449 scopus 로고    scopus 로고
    • Precedence constrained scheduling to minimize weighted completion time on a single machine
    • C. CHEKURI AND R. MOTWANI, Precedence constrained scheduling to minimize weighted completion time on a single machine, Discrete Appl. Math., 98 (1999), pp. 29-38.
    • (1999) Discrete Appl. Math. , vol.98 , pp. 29-38
    • Chekuri, C.1    Motwani, R.2
  • 7
    • 0030785234 scopus 로고    scopus 로고
    • Approximation algorithms for precedence-constrained scheduling problems on parallel machines that run at different speeds
    • New Orleans
    • F. CHUDAK AND D. SHMOYS, Approximation algorithms for precedence-constrained scheduling problems on parallel machines that run at different speeds, in Proceedings of the Eighth ACM-SIAM Symposium on Discrete Algorithms, New Orleans, 1997, pp. 581-590.
    • (1997) Proceedings of the Eighth ACM-SIAM Symposium on Discrete Algorithms , pp. 581-590
    • Chudak, F.1    Shmoys, D.2
  • 8
    • 0033358135 scopus 로고    scopus 로고
    • A half-integral linear programming relaxation for scheduling precedence-constrained jobs on a single machine
    • F. CHUDAK AND D. HOCHBAUM, A half-integral linear programming relaxation for scheduling precedence-constrained jobs on a single machine, Oper. Res. Lett., 25 (1999), pp. 199-204.
    • (1999) Oper. Res. Lett. , vol.25 , pp. 199-204
    • Chudak, F.1    Hochbaum, D.2
  • 9
    • 0025505801 scopus 로고
    • Minimizing mean flow time with release time constraint
    • J. DU, J.Y.T. LEUNG, AND G.H. YOUNG, Minimizing mean flow time with release time constraint, Theoret. Comput. Sci., 75 (1990), pp. 347-355.
    • (1990) Theoret. Comput. Sci. , vol.75 , pp. 347-355
    • Du, J.1    Leung, J.Y.T.2    Young, G.H.3
  • 10
    • 0026170095 scopus 로고
    • Scheduling chain structured tasks to minimize makespan and mean flow time
    • J. DU, J.Y.T. LEUNG, AND G.H. YOUNG, Scheduling chain structured tasks to minimize makespan and mean flow time, Inform. and Comput., 92 (1991), pp. 219-236.
    • (1991) Inform. and Comput. , vol.92 , pp. 219-236
    • Du, J.1    Leung, J.Y.T.2    Young, G.H.3
  • 14
    • 0014477093 scopus 로고
    • Bounds on multiprocessing timing anomalies
    • R.L. GRAHAM Bounds on multiprocessing timing anomalies, SIAM J. Appl. Math., 17 (1969), pp. 416-429.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 416-429
    • Graham, R.L.1
  • 16
    • 0031207982 scopus 로고    scopus 로고
    • Scheduling to minimize average completion time: Offline and online algorithms
    • L.A. HALL, A.S. SCHULZ, D.B. SHMOYS, AND J. WEIN, Scheduling to minimize average completion time: Offline and online algorithms, Math. Oper. Res., 22 (1997), pp. 513-544.
    • (1997) Math. Oper. Res. , vol.22 , pp. 513-544
    • Hall, L.A.1    Schulz, A.S.2    Shmoys, D.B.3    Wein, J.4
  • 18
    • 84958741058 scopus 로고    scopus 로고
    • Non-approximability results for scheduling problems with minsum criteria
    • Integer Programming and Combinatorial Optimization, R.E. Bixby, E.A. Boyd, and R.Z. Rfos-Mercado, eds., Springer, Berlin
    • J.A. HOOGEVEEN, P. SCHUURMAN, AND G.J. WOEGINGER, Non-approximability results for scheduling problems with minsum criteria, in Integer Programming and Combinatorial Optimization, R.E. Bixby, E.A. Boyd, and R.Z. Rfos-Mercado, eds., Lecture Notes in Comput. Sci., Springer, Berlin, 1998, pp. 353-366.
    • (1998) Lecture Notes in Comput. Sci. , pp. 353-366
    • Hoogeveen, J.A.1    Schuurman, P.2    Woeginger, G.J.3
  • 19
    • 0015397328 scopus 로고
    • Single-machine job sequencing with treelike precedence ordering and linear delay penalties
    • W.A. HORN, Single-machine job sequencing with treelike precedence ordering and linear delay penalties, SIAM J. Appl. Math., 23 (1972), pp. 189-202.
    • (1972) SIAM J. Appl. Math. , vol.23 , pp. 189-202
    • Horn, W.A.1
  • 20
    • 0024018137 scopus 로고
    • A polynomial approximation scheme for scheduling on uniform processors: Using the dual approximation approach
    • D.S. HOCHBAUM AND D.B. SHMOYS, A polynomial approximation scheme for scheduling on uniform processors: Using the dual approximation approach, SIAM J. Comput., 17 (1988), pp. 539-551.
    • (1988) SIAM J. Comput. , vol.17 , pp. 539-551
    • Hochbaum, D.S.1    Shmoys, D.B.2
  • 22
    • 77951587888 scopus 로고
    • Sequencing jobs to minimize total weighted completion time
    • E.L. LAWLER, Sequencing jobs to minimize total weighted completion time, Ann. Discrete Math., 2 (1978), pp. 75-90.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 75-90
    • Lawler, E.L.1
  • 24
    • 84958753582 scopus 로고    scopus 로고
    • Approximation bounds for a general class of precedence constrained parallel machine scheduling problems
    • Integer Programming and Combinatorial Optimization, R.E. Bixby, E.A. Boyd, and R.Z. Ríos-Mercado, eds., Springer, Berlin
    • A. MUNIER, M. QUEYRANNE, AND A. S. SCHULZ, Approximation bounds for a general class of precedence constrained parallel machine scheduling problems, in Integer Programming and Combinatorial Optimization, R.E. Bixby, E.A. Boyd, and R.Z. Ríos-Mercado, eds., Lecture Notes in Comput. Sci., Springer, Berlin, 1998, pp. 367-382.
    • (1998) Lecture Notes in Comput. Sci. , pp. 367-382
    • Munier, A.1    Queyranne, M.2    Schulz, A.S.3
  • 27
    • 84947916207 scopus 로고    scopus 로고
    • Scheduling to minimize total weighted completion time: Performance guarantees of lp based heuristics and lower bounds
    • Vancouver, BC, Canada
    • A.S. SCHULZ, Scheduling to minimize total weighted completion time: Performance guarantees of lp based heuristics and lower bounds, in Proceedings of the Fifth Conference On Integer Programming and Combinatorial Optimization, Vancouver, BC, Canada, 1996, pp. 301-315.
    • (1996) Proceedings of the Fifth Conference on Integer Programming and Combinatorial Optimization , pp. 301-315
    • Schulz, A.S.1
  • 29
    • 84957662347 scopus 로고    scopus 로고
    • Random-based scheduling: New approximations and lp lower bounds
    • Randomization and Approximation Techniques in Computer Science (RANDOM), J. Rolim, ed., Springer, Berlin
    • A.S. SCHULZ AND M. SKUTELLA, Random-based scheduling: New approximations and lp lower bounds, in Randomization and Approximation Techniques in Computer Science (RANDOM), J. Rolim, ed., Lecture Notes in Comput. Sci. 1269, Springer, Berlin, 1997, pp. 119-133.
    • (1997) Lecture Notes in Comput. Sci. , vol.1269 , pp. 119-133
    • Schulz, A.S.1    Skutella, M.2
  • 30
    • 0002066821 scopus 로고
    • Various optimizers for single-stage production
    • W.B. SMITH, Various optimizers for single-stage production, Naval Res. Logist. Quart., 3 (1956), pp. 59-66.
    • (1956) Naval Res. Logist. Quart. , vol.3 , pp. 59-66
    • Smith, W.B.1
  • 31
    • 0000833991 scopus 로고    scopus 로고
    • On the existence of schedules that are near-optimal for both makespan and total weighted completion time
    • C. STEIN AND J. WEIN, On the existence of schedules that are near-optimal for both makespan and total weighted completion time, Oper. Res. Lett., 21 (1997), pp. 115-22.
    • (1997) Oper. Res. Lett. , vol.21 , pp. 115-122
    • Stein, C.1    Wein, J.2
  • 32
    • 85037322658 scopus 로고
    • private communication cited in [21]
    • L. STOUGIE, private communication cited in [21], 1995.
    • (1995)
    • Stougie, L.1
  • 33
    • 85037297663 scopus 로고    scopus 로고
    • private communication
    • L. STOUGIE AND A. VESTJENS, private communication, 1996.
    • (1996)
    • Stougie, L.1    Vestjens, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.