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Volumn 39, Issue 1, 2006, Pages 121-136

The expected competitive ratio for weighted completion time scheduling

Author keywords

[No Author keywords available]

Indexed keywords

CLASS OF DISTRIBUTIONS; DISTRIBUTED PROCESSING; EXPONENTIAL DISTRIBUTIONS; IDENTICAL PARALLEL MACHINES; LIST SCHEDULING ALGORITHMS; NON-PREEMPTIVE MANNERS; TOTAL WEIGHTED COMPLETION TIME; WEIGHTED COMPLETION TIME;

EID: 30744461838     PISSN: 14324350     EISSN: 14330490     Source Type: Journal    
DOI: 10.1007/s00224-005-1261-z     Document Type: Conference Paper
Times cited : (10)

References (30)
  • 2
    • 0016080006 scopus 로고
    • Scheduling independent tasks to reduce mean finishing time
    • E. C. Bruno, Jr., and R. Sethi. Scheduling independent tasks to reduce mean finishing time. Communications of the ACM, 17:382-387, 1974.
    • (1974) Communications of the ACM , vol.17 , pp. 382-387
    • Bruno Jr., E.C.1    Sethi, R.2
  • 3
    • 0002317675 scopus 로고
    • Sequencing tasks with exponential service times to minimize the expected flow time or makespan
    • J. Bruno, P. Downey, and G. N. Frederickson. Sequencing tasks with exponential service times to minimize the expected flow time or makespan. Journal of the ACM, 28(1): 100-113, 1981.
    • (1981) Journal of the ACM , vol.28 , Issue.1 , pp. 100-113
    • Bruno, J.1    Downey, P.2    Frederickson, G.N.3
  • 4
    • 0022062012 scopus 로고
    • On the expected relative performance of list scheduling
    • E. G. Coffman, Jr., and E. N. Gilbert. On the expected relative performance of list scheduling. Operations Research, 33(3):548-561, 1985.
    • (1985) Operations Research , vol.33 , Issue.3 , pp. 548-561
    • Coffman Jr., E.G.1    Gilbert, E.N.2
  • 6
    • 0000552246 scopus 로고
    • Bounds for the optimal scheduling of n jobs on m processors
    • W. L. Eastman, S. Even, and I. M. Isaacs. Bounds for the optimal scheduling of n jobs on m processors. Management Science, 11:268-279, 1964.
    • (1964) Management Science , vol.11 , pp. 268-279
    • Eastman, W.L.1    Even, S.2    Isaacs, I.M.3
  • 9
  • 10
    • 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, 22:513-544, 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
    • 0023357512 scopus 로고
    • On the optimality of static priority policies in stochastic scheduling on parallel machines
    • T. Kämpke. On the optimality of static priority policies in stochastic scheduling on parallel machines. Journal of Applied Probability, 24:430-448, 1987.
    • (1987) Journal of Applied Probability , vol.24 , pp. 430-448
    • Kämpke, T.1
  • 12
    • 0022805963 scopus 로고
    • Worst case bound of an LRF schedule for the mean weighted flow-time problem
    • T. Kawaguchi and S. Kyan. Worst case bound of an LRF schedule for the mean weighted flow-time problem. SIAM Journal on Computing, 15(4):1119-1129, 1986.
    • (1986) SIAM Journal on Computing , vol.15 , Issue.4 , pp. 1119-1129
    • Kawaguchi, T.1    Kyan, S.2
  • 15
    • 0001175654 scopus 로고    scopus 로고
    • Approximation in stochastic scheduling: The power of LP-based priority rules
    • R. H. Möhring, A. S. Schulz, and M. Uetz. Approximation in stochastic scheduling: the power of LP-based priority rules. Journal of the ACM, 46:924-942, 1999.
    • (1999) Journal of the ACM , vol.46 , pp. 924-942
    • Möhring, R.H.1    Schulz, A.S.2    Uetz, M.3
  • 17
    • 0041541787 scopus 로고    scopus 로고
    • Minimizing average completion time in the presence of release dates
    • C. A. Phillips, C. Stein, and J. Wein. Minimizing average completion time in the presence of release dates. Mathematical Programming, 82:199-223, 1998.
    • (1998) Mathematical Programming , vol.82 , pp. 199-223
    • Phillips, C.A.1    Stein, C.2    Wein, J.3
  • 19
    • 0021479328 scopus 로고
    • Inequalities and bounds in stochastic shop scheduling
    • M. Pinedo and R. Weber. Inequalities and bounds in stochastic shop scheduling. SIAM Journal on Applied Mathematics, 44(4):867-879, 1984.
    • (1984) SIAM Journal on Applied Mathematics , vol.44 , Issue.4 , pp. 867-879
    • Pinedo, M.1    Weber, R.2
  • 20
    • 0042983555 scopus 로고
    • An algorithm for the single machine sequencing problem with precedence constraints
    • C. M. Potts. An algorithm for the single machine sequencing problem with precedence constraints. Mathematical Programming Study, 13:78-87, 1980.
    • (1980) Mathematical Programming Study , vol.13 , pp. 78-87
    • Potts, C.M.1
  • 21
    • 0005372684 scopus 로고
    • Scheduling with random service times
    • M. H. Rothkopf. Scheduling with random service times. Management Science, 12:707-713, 1966.
    • (1966) Management Science , vol.12 , pp. 707-713
    • Rothkopf, M.H.1
  • 22
    • 0016883405 scopus 로고
    • Algorithms for scheduling independent tasks
    • S. K. Sahni. Algorithms for scheduling independent tasks. Journal of the ACM, 23:116-127, 1976.
    • (1976) Journal of the ACM , vol.23 , pp. 116-127
    • Sahni, S.K.1
  • 24
    • 84875556784 scopus 로고    scopus 로고
    • Journal version accepted for publication by
    • Journal version accepted for publication by Journal of the ACM.
    • Journal of the ACM.
  • 25
    • 84947916207 scopus 로고    scopus 로고
    • Scheduling to minimize total weighted completion time: Performance guarantees of LP-based heuristics and lower bounds
    • Volume 1084 of Lecture Notes in Computer Science. Springer-Verlag, Berlin
    • A. S. Schulz. Scheduling to minimize total weighted completion time: performance guarantees of LP-based heuristics and lower bounds. Proceedings of the International Conference, on Integer Programming and Combinatorial Optimization, pages 301-315. Volume 1084 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 1996.
    • (1996) Proceedings of the International Conference, on Integer Programming and Combinatorial Optimization , pp. 301-315
    • Schulz, A.S.1
  • 27
    • 0034138331 scopus 로고    scopus 로고
    • A PTAS for minimizing the total weighted completion time on identical parallel machines
    • M. Skutella and G. J. Woeginger. A PTAS for minimizing the total weighted completion time on identical parallel machines. Mathematics of Operations Research, 25:63-75, 2000.
    • (2000) Mathematics of Operations Research , vol.25 , pp. 63-75
    • Skutella, M.1    Woeginger, G.J.2
  • 28
    • 0002066821 scopus 로고
    • Various optimizers for single stage production
    • W. E. Smith. Various optimizers for single stage production. Naval Research Logistics Quarterly, 3:59-66, 1956.
    • (1956) Naval Research Logistics Quarterly , vol.3 , pp. 59-66
    • Smith, W.E.1
  • 29
    • 0022778635 scopus 로고
    • Scheduling jobs with stochastically ordered processing times on parallel machines to minimize expected flowtime
    • R. R. Weber, P. Varaiya, and J. Walrand. Scheduling jobs with stochastically ordered processing times on parallel machines to minimize expected flowtime. Journal of Applied Probability, 23:841-847, 1986.
    • (1986) Journal of Applied Probability , vol.23 , pp. 841-847
    • Weber, R.R.1    Varaiya, P.2    Walrand, J.3
  • 30
    • 0001949808 scopus 로고
    • Scheduling tasks with exponential service times on non-identical processors to minimize various cost functions
    • G. Weiss and M. Pinedo. Scheduling tasks with exponential service times on non-identical processors to minimize various cost functions. Journal of Applied Probability, 17:187-202, 1980.
    • (1980) Journal of Applied Probability , vol.17 , pp. 187-202
    • Weiss, G.1    Pinedo, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.