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Volumn 3484 LNCS, Issue , 2006, Pages 250-291

List scheduling in order of α-points on a single machine

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL MATHEMATICS; LINEAR PROGRAMMING; PROBLEM SOLVING; SCHEDULING;

EID: 36849090078     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11671541_9     Document Type: Article
Times cited : (17)

References (52)
  • 3
    • 5544297208 scopus 로고    scopus 로고
    • On-line scheduling of a single machine to minimize total weighted completion time
    • E. J. Anderson and C. N. Potts. On-line scheduling of a single machine to minimize total weighted completion time. Mathematics of Operations Research, 29:686-697, 2004.
    • (2004) Mathematics of Operations Research , vol.29 , pp. 686-697
    • Anderson, E.J.1    Potts, C.N.2
  • 7
    • 84947720721 scopus 로고    scopus 로고
    • Improved scheduling algorithms for minsum criteria
    • F. Meyer auf der Heide and B. Monien, editors, Automata, Languages and Programming, of, Springer, Berlin
    • S. Chakrabarti, C. Phillips, A. S. Schulz, D. B. Shmoys, C. Stein, and J. Wein. Improved scheduling algorithms for minsum criteria. In F. Meyer auf der Heide and B. Monien, editors, Automata, Languages and Programming, volume 1099 of Lecture Notes in Computer Science, pages 646-657. Springer, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1099 , pp. 646-657
    • Chakrabarti, S.1    Phillips, C.2    Schulz, A.S.3    Shmoys, D.B.4    Stein, C.5    Wein, J.6
  • 8
    • 0032154566 scopus 로고    scopus 로고
    • Parallel machine scheduling, linear programming and list scheduling heuristics
    • L. M. A. Chan, A. Muriel, and D. Simchi-Levi. Parallel machine scheduling, linear programming and list scheduling heuristics. Operations Research, 46:729-741, 1998.
    • (1998) Operations Research , vol.46 , pp. 729-741
    • Chan, L.M.A.1    Muriel, A.2    Simchi-Levi, D.3
  • 10
    • 0001808449 scopus 로고    scopus 로고
    • Precedence constrained scheduling to minimize weighted completion time on a single machine
    • C. S. Chekuri and R. Motwani. Precedence constrained scheduling to minimize weighted completion time on a single machine. Discrete Applied Mathematics, 98:29-38, 1999.
    • (1999) Discrete Applied Mathematics , vol.98 , pp. 29-38
    • Chekuri, C.S.1    Motwani, R.2
  • 12
    • 35048873150 scopus 로고    scopus 로고
    • Single machine scheduling with precedence constraints
    • D. Bienstock and G. Nemhauser, editors, Integer Programming and Combinatorial Optimization, of, Springer, Berlin
    • J. R. Correa and A. S. Schulz. Single machine scheduling with precedence constraints. In D. Bienstock and G. Nemhauser, editors, Integer Programming and Combinatorial Optimization, volume 3064 of Lecture Notes in Computer Science, pages 283-297. Springer, Berlin, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3064 , pp. 283-297
    • Correa, J.R.1    Schulz, A.S.2
  • 13
    • 0001559895 scopus 로고
    • Formulating the single machine sequencing problem with release dates as a mixed integer program
    • M. E. Dyer and L. A. Wolsey. Formulating the single machine sequencing problem with release dates as a mixed integer program. Discrete Applied Mathematics, 26:255-270, 1990.
    • (1990) Discrete Applied Mathematics , vol.26 , pp. 255-270
    • Dyer, M.E.1    Wolsey, L.A.2
  • 14
    • 0037453325 scopus 로고    scopus 로고
    • Lower bounds for on-line single machine scheduling
    • L. Epstein and R. van Stee. Lower bounds for on-line single machine scheduling. Theoretical Computer Science, 299:439-450, 2003.
    • (2003) Theoretical Computer Science , vol.299 , pp. 439-450
    • Epstein, L.1    van Stee, R.2
  • 15
    • 84947944584 scopus 로고    scopus 로고
    • A supermodular relaxation for scheduling with release dates
    • W. H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, of, Springer, Berlin
    • M. X. Goemans. A supermodular relaxation for scheduling with release dates. In W. H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, volume 1084 of Lecture Notes in Computer Science, pages 288-300. Springer, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1084 , pp. 288-300
    • Goemans, M.X.1
  • 18
    • 0033733029 scopus 로고    scopus 로고
    • A 1.47-approximation algorithm for a preemptive single-machine scheduling problem
    • M. X. Goemans, J. Wein, and D. P. Williamson. A 1.47-approximation algorithm for a preemptive single-machine scheduling problem. Operations Research Letters, 26:149-154, 2000.
    • (2000) Operations Research Letters , vol.26 , pp. 149-154
    • Goemans, M.X.1    Wein, J.2    Williamson, D.P.3
  • 19
    • 0041480788 scopus 로고    scopus 로고
    • Two-dimensional Gantt charts and a scheduling algorithm of Lawler
    • M. X. Goemans and D. P. Williamson. Two-dimensional Gantt charts and a scheduling algorithm of Lawler. SIAM Journal on Discrete Mathematics, 13:281-294, 2000.
    • (2000) SIAM Journal on Discrete Mathematics , vol.13 , pp. 281-294
    • Goemans, M.X.1    Williamson, D.P.2
  • 21
    • 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
  • 23
    • 84947903026 scopus 로고    scopus 로고
    • Optimal on-line algorithms for single-machine scheduling
    • W H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, of, Springer, Berlin
    • J. A. Hoogeveen and A. P. A. Vestjens. Optimal on-line algorithms for single-machine scheduling. In W H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, volume 1084 of Lecture Notes in Computer Science, pages 404-414. Springer, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1084 , pp. 404-414
    • Hoogeveen, J.A.1    Vestjens, A.P.A.2
  • 24
    • 0002087256 scopus 로고
    • Preemptive scheduling of uniform machines subject to release dates
    • W. R. Pulleyblank, editor, Academic Press, New York
    • J. Labetoulle, E. L. Lawler, J. K. Lenstra, and A. H. G. Rinnooy Kan. Preemptive scheduling of uniform machines subject to release dates. In W. R. Pulleyblank, editor, Progress in Combinatorial Optimization, pages 245-261. Academic Press, New York, 1984.
    • (1984) Progress in Combinatorial Optimization , pp. 245-261
    • Labetoulle, J.1    Lawler, E.L.2    Lenstra, J.K.3    Rinnooy Kan, A.H.G.4
  • 25
    • 4344662655 scopus 로고    scopus 로고
    • Decomposition, network flows and a precedence constrained single machine scheduling problem
    • F. Margot, M. Queyranne, and Y. Wang. Decomposition, network flows and a precedence constrained single machine scheduling problem. Operations Research, 51:981-992, 2003.
    • (2003) Operations Research , vol.51 , pp. 981-992
    • Margot, F.1    Queyranne, M.2    Wang, Y.3
  • 26
    • 0037871958 scopus 로고    scopus 로고
    • Solving project scheduling problems by minimum cut computations
    • R. H. Möhring, A. S. Schulz, F. Stork, and M. Uetz. Solving project scheduling problems by minimum cut computations. Management Science, 49:330-350, 2003.
    • (2003) Management Science , vol.49 , pp. 330-350
    • Möhring, R.H.1    Schulz, A.S.2    Stork, F.3    Uetz, M.4
  • 27
    • 0001175654 scopus 로고    scopus 로고
    • Approximation in stochastic scheduling: The power of LP-based priority policies
    • R. H. Möhring, A. S. Schulz, and M. Uetz. Approximation in stochastic scheduling: The power of LP-based priority policies. 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
  • 29
    • 0041541787 scopus 로고    scopus 로고
    • Minimizing average completion time in the presence of release dates
    • C. 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.1    Stein, C.2    Wein, J.3
  • 30
    • 0042983555 scopus 로고
    • An algorithm for the single machine sequencing problem with precedence constraints
    • C. N. Potts. An algorithm for the single machine sequencing problem with precedence constraints. Mathematical Programming Studies, 13:78-87, 1980.
    • (1980) Mathematical Programming Studies , vol.13 , pp. 78-87
    • Potts, C.N.1
  • 31
    • 0001267667 scopus 로고
    • Structure of a simple scheduling polyhedron
    • M. Queyranne. Structure of a simple scheduling polyhedron. Mathematical Programming, 58:263-285, 1993.
    • (1993) Mathematical Programming , vol.58 , pp. 263-285
    • Queyranne, M.1
  • 34
    • 84947916207 scopus 로고    scopus 로고
    • Scheduling to minimize total weighted completion time: Performance guarantees of LP-based heuristics and lower bounds
    • W. H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, of, Springer, Berlin
    • A. S. Schulz. Scheduling to minimize total weighted completion time: Performance guarantees of LP-based heuristics and lower bounds. In W. H. Cunningham, S. T. McCormick, and M. Queyranne, editors, Integer Programming and Combinatorial Optimization, volume 1084 of Lecture Notes in Computer Science, pages 301-315. Springer, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1084 , pp. 301-315
    • Schulz, A.S.1
  • 35
    • 84957662347 scopus 로고    scopus 로고
    • Random-based scheduling: New approximations and LP lower bounds
    • J. Rolim, editor, Randomization and Approximation Techniques in Computer Science, of, Springer, Berlin
    • A. S. Schulz and M. Skutella. Random-based scheduling: New approximations and LP lower bounds. In J. Rolim, editor, Randomization and Approximation Techniques in Computer Science, volume 1269 of Lecture Notes in Computer Science, pages 119-133. Springer, Berlin, 1997.
    • (1997) Lecture Notes in Computer Science , vol.1269 , pp. 119-133
    • Schulz, A.S.1    Skutella, M.2
  • 36
    • 0003358528 scopus 로고    scopus 로고
    • The power of a-points in preemptive single machine scheduling
    • A. S. Schulz and M. Skutella. The power of a-points in preemptive single machine scheduling. Journal of Scheduling, 5:121-133, 2002.
    • (2002) Journal of Scheduling , vol.5 , pp. 121-133
    • Schulz, A.S.1    Skutella, M.2
  • 38
    • 0042983554 scopus 로고    scopus 로고
    • Polynomial time approximation algorithms for machine scheduling: Ten open problems
    • P. Schuurman and G. J. Woeginger. Polynomial time approximation algorithms for machine scheduling: Ten open problems. Journal of Scheduling, 2:203-213, 1999.
    • (1999) Journal of Scheduling , vol.2 , pp. 203-213
    • Schuurman, P.1    Woeginger, G.J.2
  • 39
    • 84958976022 scopus 로고    scopus 로고
    • On-line scheduling - a survey
    • A. Fiat and G. J. Woeginger, editors. Online Algorithms: The State of the Art, of, Springer, Berlin
    • J. Sgall. On-line scheduling - a survey. In A. Fiat and G. J. Woeginger, editors. Online Algorithms: The State of the Art, volume 1442 of Lecture Notes in Computer Science, pages 196-231. Springer, Berlin, 1998.
    • (1998) Lecture Notes in Computer Science , vol.1442 , pp. 196-231
    • Sgall, J.1
  • 40
    • 0038309442 scopus 로고
    • An approximation algorithm for the generalized assignment problem
    • D. B. Shmoys and E. Tardos. An approximation algorithm for the generalized assignment problem. Mathematical Programming, 62:461-474, 1993.
    • (1993) Mathematical Programming , vol.62 , pp. 461-474
    • Shmoys, D.B.1    Tardos, E.2
  • 41
    • 0016483826 scopus 로고
    • Decomposition algorithms for single-machine sequencing with precedence relations and deferral costs
    • J. B. Sidney. Decomposition algorithms for single-machine sequencing with precedence relations and deferral costs. Operations Research, 23:283-298, 1975.
    • (1975) Operations Research , vol.23 , pp. 283-298
    • Sidney, J.B.1
  • 43
    • 0011464430 scopus 로고    scopus 로고
    • Scheduling precedence-constrained jobs with stochastic processing times on parallel machines
    • Washington, DC
    • M. Skutella and M. Uetz. Scheduling precedence-constrained jobs with stochastic processing times on parallel machines. In Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 589-590, Washington, DC, 2001.
    • (2001) Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 589-590
    • Skutella, M.1    Uetz, M.2
  • 44
    • 24344463067 scopus 로고    scopus 로고
    • Stochastic machine scheduling with precedence constraints
    • To appear
    • M. Skutella and M. Uetz. Stochastic machine scheduling with precedence constraints. SIAM Journal on Computing, 2005. To appear.
    • (2005) SIAM Journal on Computing
    • Skutella, M.1    Uetz, M.2
  • 45
  • 47
    • 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. Operations Research Letters, 21:115-122, 1997.
    • (1997) Operations Research Letters , vol.21 , pp. 115-122
    • Stein, C.1    Wein, J.2
  • 48
    • 0036543591 scopus 로고    scopus 로고
    • Randomized algorithms for on-line scheduling problems: How low can't you go?
    • L. Stougie and A. P. A. Vestjens. Randomized algorithms for on-line scheduling problems: How low can't you go? Operations Research Letters, 30:89-96, 2002.
    • (2002) Operations Research Letters , vol.30 , pp. 89-96
    • Stougie, L.1    Vestjens, A.P.A.2
  • 49
    • 84958758843 scopus 로고    scopus 로고
    • On the relationship between combinatorial and LP-based approaches to NP-hard scheduling problems
    • R. E. Bixby, E. A. Boyd, and R. Z. Ríos-Mercado, editors, Integer Programming and Combinatorial Optimization, of, Springer, Berlin
    • R. N. Uma and J. M. Wein. On the relationship between combinatorial and LP-based approaches to NP-hard scheduling problems. In R. E. Bixby, E. A. Boyd, and R. Z. Ríos-Mercado, editors, Integer Programming and Combinatorial Optimization, volume 1412 of Lecture Notes in Computer Science, pages 394-408. Springer, Berlin, 1998.
    • (1998) Lecture Notes in Computer Science , vol.1412 , pp. 394-408
    • Uma, R.N.1    Wein, J.M.2
  • 50
    • 0004059194 scopus 로고    scopus 로고
    • PhD thesis, Eindhoven University of Technology, The Netherlands
    • A. P. A. Vestjens. On-line machine scheduling. PhD thesis, Eindhoven University of Technology, The Netherlands, 1997.
    • (1997) On-line machine scheduling
    • Vestjens, A.P.A.1
  • 51
    • 0042863253 scopus 로고    scopus 로고
    • On the approximability of average completion time scheduling under precedence constraints
    • G.J. Woeginger. On the approximability of average completion time scheduling under precedence constraints. Discrete Applied Mathematics, 131:237-252, 2003.
    • (2003) Discrete Applied Mathematics , vol.131 , pp. 237-252
    • Woeginger, G.J.1


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