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Volumn 169, Issue 3, 2006, Pages 865-872

Performance guarantees for flowshop heuristics to minimize makespan

Author keywords

Analysis of algorithms; Flowshop heuristics; Multiple machines; Production scheduling

Indexed keywords

ALGORITHMS; HEURISTIC METHODS; PROBABILITY; PROBLEM SOLVING; SCHEDULING;

EID: 27144465233     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.05.034     Document Type: Article
Times cited : (6)

References (46)
  • 1
    • 9744272807 scopus 로고    scopus 로고
    • A simple heuristic for m-machine flow-shop and its applications in routing-scheduling problems
    • I. Averbakh, and O. Berman A simple heuristic for m-machine flow-shop and its applications in routing-scheduling problems Operations Research 47 1999 165 170
    • (1999) Operations Research , vol.47 , pp. 165-170
    • Averbakh, I.1    Berman, O.2
  • 2
    • 0019597266 scopus 로고
    • A vector-sum theorem and its application to improving flow shop guarantees
    • I. Barany A vector-sum theorem and its application to improving flow shop guarantees Mathematics of Operations Research 6 1981 445 452
    • (1981) Mathematics of Operations Research , vol.6 , pp. 445-452
    • Barany, I.1
  • 3
    • 0014807274 scopus 로고
    • A heuristic algorithm for the n job m machine sequencing problem
    • H.G. Campbell, R.A. Dudek, and M.L. Smith A heuristic algorithm for the n job m machine sequencing problem Management Science 16 1970 B630 B637
    • (1970) Management Science , vol.16
    • Campbell, H.G.1    Dudek, R.A.2    Smith, M.L.3
  • 5
    • 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 1985 548 561
    • (1985) Operations Research , vol.33 , pp. 548-561
    • Coffman Jr., E.G.1    Gilbert, E.N.2
  • 6
    • 0017516618 scopus 로고
    • An evaluation of flow-shop sequencing heuristics
    • D.G. Dannenbring An evaluation of flow-shop sequencing heuristics Management Science 23 1977 1174 1182
    • (1977) Management Science , vol.23 , pp. 1174-1182
    • Dannenbring, D.G.1
  • 7
    • 27144457556 scopus 로고
    • Note on the algorithm for Johnson's single route problem
    • B.I. Dushin Note on the algorithm for Johnson's single route problem Cybernetics 16 1980 300 303
    • (1980) Cybernetics , vol.16 , pp. 300-303
    • Dushin, B.I.1
  • 8
    • 9744246863 scopus 로고    scopus 로고
    • A review and classification of heuristics for permutation flowshop scheduling with makespan objective
    • J.M. Framinan, J.N.D. Gupta, and R. Leisten A review and classification of heuristics for permutation flowshop scheduling with makespan objective Journal of Operational Research Society 55 2004 1243 1255 Also, see their Corrigendum. Journal of Operational Research Society 56, 351
    • (2004) Journal of Operational Research Society , vol.55 , pp. 1243-1255
    • Framinan, J.M.1    Gupta, J.N.D.2    Leisten, R.3
  • 10
    • 0017918132 scopus 로고
    • Flowshop and jobshop schedules: Complexity and approximation
    • T. Gonzalez, and S. Sahni Flowshop and jobshop schedules: Complexity and approximation Operations Research 26 1978 36 52
    • (1978) Operations Research , vol.26 , pp. 36-52
    • Gonzalez, T.1    Sahni, S.2
  • 11
    • 9744243080 scopus 로고
    • Flowshop scheduling via sorting analogy
    • University of Alabama in Huntsville, Huntsville, AL, USA
    • Gupta, J.N.D., 1971a. Flowshop scheduling via sorting analogy. UARI Report No. 109, University of Alabama in Huntsville, Huntsville, AL, USA.
    • (1971) UARI Report No. 109 , vol.109
    • Gupta, J.N.D.1
  • 12
    • 0015033601 scopus 로고
    • A functional heuristic algorithm for the flow-shop scheduling problem
    • J.N.D. Gupta A functional heuristic algorithm for the flow-shop scheduling problem Operational Research Quarterly 22 1971 39 47
    • (1971) Operational Research Quarterly , vol.22 , pp. 39-47
    • Gupta, J.N.D.1
  • 13
    • 0015316023 scopus 로고
    • Heuristic algorithms for multistage flowshop scheduling problem
    • J.N.D. Gupta Heuristic algorithms for multistage flowshop scheduling problem AIIE Transactions 4 1972 11 18
    • (1972) AIIE Transactions , vol.4 , pp. 11-18
    • Gupta, J.N.D.1
  • 14
    • 27144489872 scopus 로고
    • Flowshop scheduling via sorting analogy: Multi-sorting algorithms
    • San Juan, Puerto Rico, 16-18 October 1974
    • Gupta, J.N.D., 1974. Flowshop scheduling via sorting analogy: multi-sorting algorithms, ORSA/TIMS Joint Meeting, San Juan, Puerto Rico, 16-18 October 1974.
    • (1974) ORSA/TIMS Joint Meeting
    • Gupta, J.N.D.1
  • 15
    • 0016521292 scopus 로고
    • Optimal schedules for special structure flowshops
    • J.N.D. Gupta Optimal schedules for special structure flowshops Naval Research Logistics Quarterly 26 1975 255 269
    • (1975) Naval Research Logistics Quarterly , vol.26 , pp. 255-269
    • Gupta, J.N.D.1
  • 17
  • 18
    • 27144499362 scopus 로고    scopus 로고
    • Flowshop scheduling via sorting analogy: Selected worst-case analysis
    • in preparation
    • Gupta, J.N.D., Smutnicki, C., in preparation. Flowshop scheduling via sorting analogy: Selected worst-case analysis, Working Research Paper.
    • Working Research Paper
    • Gupta, J.N.D.1    Smutnicki, C.2
  • 19
    • 0042765233 scopus 로고    scopus 로고
    • Approximability of flow-shop scheduling
    • L.A. Hall Approximability of flow-shop scheduling Mathematical Programming 82 1998 175 190
    • (1998) Mathematical Programming , vol.82 , pp. 175-190
    • Hall, L.A.1
  • 20
    • 0024031629 scopus 로고
    • An extension of palmer's heuristic for the flow-shop scheduling problem
    • T.S. Hundal, and J. Rajgopal An extension of palmer's heuristic for the flow-shop scheduling problem International Journal of Production Research 26 1988 1119 1124
    • (1988) International Journal of Production Research , vol.26 , pp. 1119-1124
    • Hundal, T.S.1    Rajgopal, J.2
  • 21
    • 0003075019 scopus 로고
    • Optimal two- and three-stage production schedules with setup times included
    • S.M. Johnson Optimal two- and three-stage production schedules with setup times included Naval Research Logistics Quarterly 1 1954 61 68
    • (1954) Naval Research Logistics Quarterly , vol.1 , pp. 61-68
    • Johnson, S.M.1
  • 23
    • 0346302274 scopus 로고    scopus 로고
    • Asymptotically optimal linear time algorithms for two-stage and three-stage flexible flow shops
    • C. Koulamas, and G.J. Kyparisis Asymptotically optimal linear time algorithms for two-stage and three-stage flexible flow shops Naval Research Logistics 47 2000 259 268
    • (2000) Naval Research Logistics , vol.47 , pp. 259-268
    • Koulamas, C.1    Kyparisis, G.J.2
  • 24
    • 0030182439 scopus 로고    scopus 로고
    • A note on heuristics of flow-shop scheduling
    • T.-C. Lai A note on heuristics of flow-shop scheduling Operations Research 44 1996 648 652
    • (1996) Operations Research , vol.44 , pp. 648-652
    • Lai, T.-C.1
  • 25
    • 0345901561 scopus 로고
    • Sequencing and scheduling: Algorithms and complexity
    • S.C. Graves A.H.G. Rinnooy Kan P.H. Zipkin, Handbooks in Operations Research and Management Science. North-Holland Amsterdam
    • E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, and D.B. Shmoys Sequencing and scheduling: Algorithms and complexity S.C. Graves A.H.G. Rinnooy Kan P.H. Zipkin Handbooks in Operations Research and Management Science Logistics of Production and Inventory Vol. 4 1993 North-Holland Amsterdam 445 522
    • (1993) Logistics of Production and Inventory , vol.4 , pp. 445-522
    • Lawler, E.L.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3    Shmoys, D.B.4
  • 26
    • 0012070201 scopus 로고    scopus 로고
    • Sevast'yanov's algorithm for the flow-shop scheduling problem
    • H.R. Lourenco Sevast'yanov's algorithm for the flow-shop scheduling problem European Journal of Operational Research 91 1996 176 189
    • (1996) European Journal of Operational Research , vol.91 , pp. 176-189
    • Lourenco, H.R.1
  • 27
    • 0040918634 scopus 로고
    • On bounds of makespan and its application in M-machine scheduling problems
    • I. Nabeshima On bounds of makespan and its application in M-machine scheduling problems Journal of Operational Research Society of Japan 9 1963 98 136
    • (1963) Journal of Operational Research Society of Japan , vol.9 , pp. 98-136
    • Nabeshima, I.1
  • 28
    • 0020699921 scopus 로고
    • A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem
    • M. Nawaz, E.E. Enscore Jr., and I. Ham A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem OMEGA 11 1983 91 95
    • (1983) OMEGA , vol.11 , pp. 91-95
    • Nawaz, M.1    Enscore Jr., E.E.2    Ham, I.3
  • 30
    • 0024681545 scopus 로고
    • Worst-case analysis of an approximation algorithm for flow-shop scheduling
    • E. Nowicki, and C. Smutnicki Worst-case analysis of an approximation algorithm for flow-shop scheduling Operations Research Letters 8 1989 171 177
    • (1989) Operations Research Letters , vol.8 , pp. 171-177
    • Nowicki, E.1    Smutnicki, C.2
  • 31
    • 0026246363 scopus 로고
    • Worst-case analysis of Dannenbring's algorithm for flow-shop scheduling
    • E. Nowicki, and C. Smutnicki Worst-case analysis of Dannenbring's algorithm for flow-shop scheduling Operations Research Letters 10 1991 473 480
    • (1991) Operations Research Letters , vol.10 , pp. 473-480
    • Nowicki, E.1    Smutnicki, C.2
  • 32
    • 38248999989 scopus 로고
    • New results in the worst-case analysis for flow-shop scheduling
    • E. Nowicki, and C. Smutnicki New results in the worst-case analysis for flow-shop scheduling Discrete Applied Mathematics 46 1993 21 41
    • (1993) Discrete Applied Mathematics , vol.46 , pp. 21-41
    • Nowicki, E.1    Smutnicki, C.2
  • 33
    • 0028407652 scopus 로고
    • A note on worst-case analysis of approximation algorithms for a scheduling problem
    • E. Nowicki, and C. Smutnicki A note on worst-case analysis of approximation algorithms for a scheduling problem European Journal of Operational Research 74 1994 128 134
    • (1994) European Journal of Operational Research , vol.74 , pp. 128-134
    • Nowicki, E.1    Smutnicki, C.2
  • 35
    • 0001393583 scopus 로고
    • Sequencing jobs through a multi-stage process in the minimum total time-a quick method of obtaining a near optimum
    • D.S. Palmer Sequencing jobs through a multi-stage process in the minimum total time-a quick method of obtaining a near optimum Operational Research Quarterly 16 1965 101 107
    • (1965) Operational Research Quarterly , vol.16 , pp. 101-107
    • Palmer, D.S.1
  • 37
    • 0001020389 scopus 로고
    • Machine aggregation heuristics in shop scheduling
    • H. Röck, and G. Schmidt Machine aggregation heuristics in shop scheduling Methods of Operations Research 45 1983 303 314
    • (1983) Methods of Operations Research , vol.45 , pp. 303-314
    • Röck, H.1    Schmidt, G.2
  • 38
    • 17144395908 scopus 로고
    • Approximation algorithms for Johnson's and vector summation problems
    • S.V. Sevast'janov Approximation algorithms for Johnson's and vector summation problems Upravlyaemye Systemy 20 1980 64 73 (in Russian)
    • (1980) Upravlyaemye Systemy , vol.20 , pp. 64-73
    • Sevast'Janov, S.V.1
  • 39
    • 0042056411 scopus 로고
    • Some generalizations of the Johnson problem
    • S.V. Sevast'janov Some generalizations of the Johnson problem Upravlyaemye Systemy 21 1981 45 61 (in Russian)
    • (1981) Upravlyaemye Systemy , vol.21 , pp. 45-61
    • Sevast'Janov, S.V.1
  • 40
    • 0043058178 scopus 로고
    • Algorithms with estimates for the Johnson and Akers-Friedman problems in the case of three machines
    • S.V. Sevast'janov Algorithms with estimates for the Johnson and Akers-Friedman problems in the case of three machines Upravlyaemye Systemy 22 1982 51 57 (in Russian)
    • (1982) Upravlyaemye Systemy , vol.22 , pp. 51-57
    • Sevast'Janov, S.V.1
  • 41
    • 0002595962 scopus 로고
    • On some geometric methods in scheduling theory: A survey
    • S.V. Sevast'janov On some geometric methods in scheduling theory: A survey Discrete Applied Mathematics 55 1994 59 82
    • (1994) Discrete Applied Mathematics , vol.55 , pp. 59-82
    • Sevast'Janov, S.V.1
  • 42
    • 0029241717 scopus 로고
    • Vector summation in Banach space and polynomial algorithms for flow shops and open shops
    • S. Sevast'janov Vector summation in Banach space and polynomial algorithms for flow shops and open shops Mathematics of Operations Research 20 1995 90 103
    • (1995) Mathematics of Operations Research , vol.20 , pp. 90-103
    • Sevast'Janov, S.1
  • 43
    • 0041555170 scopus 로고    scopus 로고
    • Nonstrict vector summation in the plane and its application to scheduling problems
    • A.D. Korshunov Kluwer Dordrecht
    • S. Sevast'janov Nonstrict vector summation in the plane and its application to scheduling problems A.D. Korshunov Operations Research and Discrete Analysis 1997 Kluwer Dordrecht 241 272
    • (1997) Operations Research and Discrete Analysis , pp. 241-272
    • Sevast'Janov, S.1
  • 44
    • 0028452796 scopus 로고
    • Improved approximation algorithms for shop scheduling problems
    • D.B. Shmoys, C. Stein, and J. Wein Improved approximation algorithms for shop scheduling problems SIAM Journal on Computing 23 1994 617 632
    • (1994) SIAM Journal on Computing , vol.23 , pp. 617-632
    • Shmoys, D.B.1    Stein, C.2    Wein, J.3
  • 45
    • 0002906088 scopus 로고    scopus 로고
    • Some results of the worst-case analysis for flow shop scheduling
    • C. Smutnicki Some results of the worst-case analysis for flow shop scheduling European Journal of Operational Research 109 1998 66 87
    • (1998) European Journal of Operational Research , vol.109 , pp. 66-87
    • Smutnicki, C.1


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