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Volumn 1, Issue 4, 1998, Pages 413-426

Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem

Author keywords

Approximation algorithms; Average completion time; Identical parallel machines; Linear programming; Preemptive scheduling; Relaxations; Release dates; Scheduling

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; LINEAR PROGRAMMING; RESPONSE TIME (COMPUTER SYSTEMS); SCHEDULING;

EID: 0031701702     PISSN: 13826905     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009750913529     Document Type: Article
Times cited : (13)

References (24)
  • 3
    • 0030785234 scopus 로고    scopus 로고
    • Approximation Algorithms for Precedence-Constrained Scheduling Problems on Parallel Machines that Run at Different Speeds
    • F.A. Chudak and D.B. Shmoys, "Approximation Algorithms for Precedence-Constrained Scheduling Problems on Parallel Machines that Run at Different Speeds," in Proc. of the 8th ACM-SIAM Symposium on Discrete Algorithms, 1997, pp. 581-590.
    • (1997) Proc. of the 8th ACM-SIAM Symposium on Discrete Algorithms , pp. 581-590
    • Chudak, F.A.1    Shmoys, D.B.2
  • 5
    • 84947944584 scopus 로고    scopus 로고
    • A Supermodular Relaxation for Scheduling with Release Dates
    • Published as Lecture Notes in Computer Science 1084, Springer-Verlag
    • M. Goemans, "A Supermodular Relaxation for Scheduling with Release Dates," in Proc. of the 5th MPS Conference on Integer Programming and Combinatorial Optimization, 1996, pp. 288-300. (Published as Lecture Notes in Computer Science 1084, Springer-Verlag.)
    • (1996) Proc. of the 5th MPS Conference on Integer Programming and Combinatorial Optimization , pp. 288-300
    • Goemans, M.1
  • 9
    • 0031207982 scopus 로고    scopus 로고
    • Scheduling to minimize average completion time: Off-line and on-line approximation algorithms
    • L.A. Hall, A.S. Schulz, D.B. Shmoys, and J. Wein, "Scheduling to minimize average completion time: Off-line and on-line approximation algorithms," Mathematics of Operations Research, vol. 22, pp. 513-544, 1997.
    • (1997) Mathematics of Operations Research , vol.22 , pp. 513-544
    • Hall, L.A.1    Schulz, A.S.2    Shmoys, D.B.3    Wein, J.4
  • 11
    • 2342618750 scopus 로고
    • Personal communication
    • T.C. Lai, Personal communication, 1995.
    • (1995)
    • Lai, T.C.1
  • 16
    • 0002643827 scopus 로고
    • Scheduling with deadlines and loss functions
    • R. McNaughton, "Scheduling with deadlines and loss functions," Management Science, vol. 6, pp. 1-12, 1959.
    • (1959) Management Science , vol.6 , pp. 1-12
    • McNaughton, R.1
  • 17
    • 84958053242 scopus 로고    scopus 로고
    • Scheduling Jobs with Communication Delays: Using Infeasible Solutions for Approximation
    • Algorithms - ESA'96, J. Diaz and M. Serna (Eds.), Springer, Berlin, Proceedings of the 4th Annual European Symposium on Algorithms
    • R.H. Möhring, M.W Schäffter, and A.S. Schulz, "Scheduling Jobs with Communication Delays: Using Infeasible Solutions for Approximation," in Algorithms - ESA'96, J. Diaz and M. Serna (Eds.), Vol. 1136 of Lecture Notes in Computer Science, pp. 76-90. Springer, Berlin, 1996, Proceedings of the 4th Annual European Symposium on Algorithms.
    • (1996) Lecture Notes in Computer Science , vol.1136 , pp. 76-90
    • Möhring, R.H.1    Schäffter, M.W.2    Schulz, A.S.3
  • 19
    • 0001267667 scopus 로고
    • Structure of a simple scheduling polyhedron
    • M. Queyranne, "Structure of a simple scheduling polyhedron," Mathematical Programming, vol. 58, pp. 263-285, 1993.
    • (1993) Mathematical Programming , vol.58 , pp. 263-285
    • Queyranne, M.1
  • 20
    • 2342527101 scopus 로고
    • Private communication
    • M. Queyranne, Private communication, 1995.
    • (1995)
    • Queyranne, M.1
  • 22
    • 84947916207 scopus 로고    scopus 로고
    • Scheduling to Minimize Total Weighted Completion Time: Performance Guarantees of lp Based Heuristics and Lower Bounds
    • Published as Lecture Notes in Computer Science 1084, Springer-Verlag
    • A.S. Schulz, "Scheduling to Minimize Total Weighted Completion Time: Performance Guarantees of lp Based Heuristics and Lower Bounds," in Proc. of the 5th MPS Conference on Integer Programming and Combinatorial Optimization, 1996, pp. 301-315. Published as Lecture Notes in Computer Science 1084, Springer-Verlag.
    • (1996) Proc. of the 5th MPS Conference on Integer Programming and Combinatorial Optimization , pp. 301-315
    • Schulz, A.S.1
  • 24
    • 2342538979 scopus 로고    scopus 로고
    • Technical Report, Max-Planck-Institut für Informatik, Saarbrücken, Germany
    • Y. Wang, "Bicriteria Job Scheduling with Release Dates," Technical Report, Max-Planck-Institut für Informatik, Saarbrücken, Germany, 1996.
    • (1996) Bicriteria Job Scheduling with Release Dates
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.