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Volumn 34, Issue 2, 2009, Pages 417-427

Tight bounds for permutation flow shop scheduling

Author keywords

Approximation algorithms; Increasing subsequence; Shop scheduling

Indexed keywords

APPROXIMATION RATIOS; FIXED-ORDER; FLOW-SHOP; FLOW-SHOP SCHEDULING; INCREASING SUBSEQUENCE; INTEGRALITY GAPS; JOB COMPLETION; LINEAR PROGRAMMING RELAXATION; LONGEST INCREASING SUBSEQUENCES; LOWER BOUNDS; MACHINE LOADS; MAKESPAN; MAKESPAN OBJECTIVE; PERMUTATION FLOW SHOPS; PERMUTATION FLOW-SHOP SCHEDULING; PROCESSING TIME; SCHEDULING PROBLEM; SHOP SCHEDULING; TIGHT BOUND; TOTAL WEIGHTED COMPLETION TIME; WEIGHTED COMPLETION TIME; WORST-CASE ANALYSIS;

EID: 67649991145     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1080.0368     Document Type: Article
Times cited : (21)

References (30)
  • 3
    • 0002957133 scopus 로고    scopus 로고
    • A review of machine scheduling: Complexity, algorithms, and approximability
    • D.-Z. Du, P. M. Pardalos, eds, Kluwer Academic Publishers, Boston
    • Chen, B., C. Potts, G. Woeginger. 1998. A review of machine scheduling: Complexity, algorithms, and approximability, D.-Z. Du, P. M. Pardalos, eds. Handbook of Combinatorial Optimization, Vol. 3. Kluwer Academic Publishers, Boston, 21-169.
    • (1998) Handbook of Combinatorial Optimization , vol.3 , pp. 21-169
    • Chen, B.1    Potts, C.2    Woeginger, G.3
  • 5
    • 0033706251 scopus 로고    scopus 로고
    • A new algorithmic approach to the general lovasz local lemma with applications to schedulung and satisfiability problems
    • ACM Press, New York
    • Czumaj, A., C. Scheideler. 2000. A new algorithmic approach to the general lovasz local lemma with applications to schedulung and satisfiability problems. Proc. 32 ACM Sympos. Theory Comput (STOC). ACM Press, New York, 38-47.
    • (2000) Proc. 32 ACM Sympos. Theory Comput (STOC) , pp. 38-47
    • Czumaj, A.1    Scheideler, C.2
  • 7
    • 35248816899 scopus 로고    scopus 로고
    • On minimizing average weighted completion time: A PTAS for the job shop problem with release dates
    • Springer, Berlin
    • Fishkin, A., K. Jansen, M. Mastrolilli. 2003. On minimizing average weighted completion time: A PTAS for the job shop problem with release dates. Algorithms and Computation. Lecture Notes in Comput. Set, Vol. 2906. Springer, Berlin, 319-328.
    • (2003) Algorithms and Computation. Lecture Notes in Comput. Set , vol.2906 , pp. 319-328
    • Fishkin, A.1    Jansen, K.2    Mastrolilli, M.3
  • 8
    • 9744246863 scopus 로고    scopus 로고
    • A review and classification of heuristics for permutation flow-shop scheduling with makespan objective
    • Framinan, J., J. Gupta, R. Leisten. 2004. A review and classification of heuristics for permutation flow-shop scheduling with makespan objective. J. Oper. Res. Soc. 55 1243-1255.
    • (2004) J. Oper. Res. Soc , vol.55 , pp. 1243-1255
    • Framinan, J.1    Gupta, J.2    Leisten, R.3
  • 9
    • 0000323506 scopus 로고
    • On the length of the longest monotone subsequence of a random permutation
    • Frieze, A. 1991. On the length of the longest monotone subsequence of a random permutation. Ann. Appl. Probab. 1(2) 301-305.
    • (1991) Ann. Appl. Probab , vol.1 , Issue.2 , pp. 301-305
    • Frieze, A.1
  • 10
    • 84983439747 scopus 로고    scopus 로고
    • Scheduling to minimize average completion time: Off-line and on-line algorithms
    • ACM-SIAM
    • Hall, L. A., D. B. Shmoys, J. Wein. 1996. Scheduling to minimize average completion time: Off-line and on-line algorithms. Proc. 7th Sympos. Discrete Algorithms, ACM-SIAM, 142-151.
    • (1996) Proc. 7th Sympos. Discrete Algorithms , pp. 142-151
    • Hall, L.A.1    Shmoys, D.B.2    Wein, J.3
  • 11
    • 0031207982 scopus 로고    scopus 로고
    • Scheduling to minimize average completion time: Off-line and on-line approximation algorithms
    • Hall, L. A., A. S. Schulz, D. B. Shmoys, J. Wein. 1997. Scheduling to minimize average completion time: Off-line and on-line approximation algorithms. Math. Oper. Res. 22 513-544.
    • (1997) Math. Oper. Res , vol.22 , pp. 513-544
    • Hall, L.A.1    Schulz, A.S.2    Shmoys, D.B.3    Wein, J.4
  • 12
    • 0038137159 scopus 로고    scopus 로고
    • Makespan minimization in job shops: A linear time approximation scheme
    • Jansen, K., R. Solis-Oba, M. Sviridenko. 2003. Makespan minimization in job shops: A linear time approximation scheme. SIAM J. Discrete Math. 16 288-300.
    • (2003) SIAM J. Discrete Math , vol.16 , pp. 288-300
    • Jansen, K.1    Solis-Oba, R.2    Sviridenko, M.3
  • 14
    • 0001345688 scopus 로고
    • A variational problem for random young tableaux
    • Logan, B. F., L. A. Shepp. 1977. A variational problem for random young tableaux. Adv. Math. 26 206-222.
    • (1977) Adv. Math , vol.26 , pp. 206-222
    • Logan, B.F.1    Shepp, L.A.2
  • 15
    • 0020699921 scopus 로고
    • A heuristic algorithm for the m-machine n-job flow-shop sequencing problem
    • Nawaz, M., E. Enscore, Jr., I. Ham. 1983. A heuristic algorithm for the m-machine n-job flow-shop sequencing problem. OMEGA Internat. J. Management Sci. 11 91-95.
    • (1983) OMEGA Internat. J. Management Sci , vol.11 , pp. 91-95
    • Nawaz, M.1    Enscore Jr., E.2    Ham, I.3
  • 16
    • 38248999989 scopus 로고
    • New results in the worst-case analysis for flow-shop scheduling
    • Nowicki, E., C. Smutnicki. 1993. New results in the worst-case analysis for flow-shop scheduling. Discrete Appl. Math. 46 21-41.
    • (1993) Discrete Appl. Math , vol.46 , pp. 21-41
    • Nowicki, E.1    Smutnicki, C.2
  • 17
    • 0024681545 scopus 로고
    • Worst-case analysis of an approximation algorithm for flow-shop scheduling
    • Nowicki, E., C. Smutnicki. 1989. Worst-case analysis of an approximation algorithm for flow-shop scheduling. Oper. Res. Lett. 8 171-177.
    • (1989) Oper. Res. Lett , vol.8 , pp. 171-177
    • Nowicki, E.1    Smutnicki, C.2
  • 18
    • 0026246363 scopus 로고
    • Worst-case analysis of Dannenbring's algorithm for flow-shop scheduling
    • Nowicki, E., C. Smutnicki. 1991. Worst-case analysis of Dannenbring's algorithm for flow-shop scheduling. Oper. Res. Lett. 10 473-480.
    • (1991) Oper. Res. Lett , vol.10 , pp. 473-480
    • Nowicki, E.1    Smutnicki, C.2
  • 19
    • 0009693843 scopus 로고
    • Permutation vs. nonpermutation flow shop schedules
    • Potts, C., D. Shmoys, D. Williamson. 1991. Permutation vs. nonpermutation flow shop schedules. Oper. Res. Lett. 10 281-284.
    • (1991) Oper. Res. Lett , vol.10 , pp. 281-284
    • Potts, C.1    Shmoys, D.2    Williamson, D.3
  • 20
    • 0001267667 scopus 로고
    • Structure of a simple scheduling polyhedron
    • Queyranne, M. 1993. Structure of a simple scheduling polyhedron. Math. Programming Ser. A 58(2) 263-285.
    • (1993) Math. Programming Ser. A , vol.58 , Issue.2 , pp. 263-285
    • Queyranne, M.1
  • 21
    • 0012589874 scopus 로고    scopus 로고
    • Approximation algorithms for shop scheduling problems with minsum objective
    • Queyranne, M., M. Sviridenko. 2002. Approximation algorithms for shop scheduling problems with minsum objective. J. Scheduling 5 287-305.
    • (2002) J. Scheduling , vol.5 , pp. 287-305
    • Queyranne, M.1    Sviridenko, M.2
  • 22
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • Raghavan, P. 1988. Probabilistic construction of deterministic algorithms: Approximating packing integer programs. J. Comput. System Sci. 37 130-143.
    • (1988) J. Comput. System Sci , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 23
    • 0001020389 scopus 로고
    • Machine aggregation heuristics in shop-scheduling
    • Röck, H., G. Schmidt. 1983. Machine aggregation heuristics in shop-scheduling. Methods Oper. Res. 45 303-314.
    • (1983) Methods Oper. Res , vol.45 , pp. 303-314
    • Röck, H.1    Schmidt, G.2
  • 24
    • 0002595962 scopus 로고
    • On some geometric methods in scheduling theory: A survey
    • Sevast'janov, S. 1994. On some geometric methods in scheduling theory: A survey. Discrete Appl. Math. 55 59-82.
    • (1994) Discrete Appl. Math , vol.55 , pp. 59-82
    • Sevast'janov, S.1
  • 26
    • 0028452796 scopus 로고
    • Improved approximation algorithms for shop scheduling problems
    • Shmoys, D., C. Stein, J. Wein. 1994. Improved approximation algorithms for shop scheduling problems. SIAM J. Comput. 23(3) 617-632.
    • (1994) SIAM J. Comput , vol.23 , Issue.3 , pp. 617-632
    • Shmoys, D.1    Stein, C.2    Wein, J.3
  • 27
    • 0002906088 scopus 로고    scopus 로고
    • Some results of the worst-case analysis for flow shop scheduling
    • Smutnicki, C. 1998. Some results of the worst-case analysis for flow shop scheduling. Eur. J. Oper. Res. 109 66-87.
    • (1998) Eur. J. Oper. Res , vol.109 , pp. 66-87
    • Smutnicki, C.1
  • 29
    • 3042800104 scopus 로고    scopus 로고
    • A note on permutation flow shop problem
    • Sviridenko, M. 2004. A note on permutation flow shop problem. Ann. Oper. Res. 129 247-252.
    • (2004) Ann. Oper. Res , vol.129 , pp. 247-252
    • Sviridenko, M.1
  • 30
    • 0000484380 scopus 로고
    • Asymptotics of the Plancherel measure of the symmetric group and the limit form of Young tableaux
    • Vershik, A. M., S. V Kerov. 1977. Asymptotics of the Plancherel measure of the symmetric group and the limit form of Young tableaux. Dokl. Akad. Nauk SSSR 233 1024-1027.
    • (1977) Dokl. Akad. Nauk SSSR , vol.233 , pp. 1024-1027
    • Vershik, A.M.1    Kerov, S.V.2


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