메뉴 건너뛰기




Volumn 5, Issue C, 1979, Pages 287-326

Optimization and approximation in deterministic sequencing and scheduling: A survey

Author keywords

[No Author keywords available]

Indexed keywords


EID: 74849101820     PISSN: 01675060     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0167-5060(08)70356-X     Document Type: Article
Times cited : (4654)

References (153)
  • 1
    • 0002283083 scopus 로고
    • Single machine job sequencing with precedence constraints
    • Adolphson, D., Single machine job sequencing with precedence constraints. SIAM J. Comput. 6 (1977), 40–54.
    • (1977) SIAM J. Comput. , vol.6 , pp. 40-54
    • Adolphson, D.1
  • 3
    • 0011560546 scopus 로고
    • The transitive reduction of a directed graph
    • Aho, A.V., Garey, M.R., Ullman, J.D., The transitive reduction of a directed graph. SIAM J. Comput. 1 (1972), 131–137.
    • (1972) SIAM J. Comput. , vol.1 , pp. 131-137
    • Aho, A.V.1    Garey, M.R.2    Ullman, J.D.3
  • 4
    • 0004836226 scopus 로고
    • Optimal scheduling on two processors with different speeds
    • E. Gelenbe R. Mahl North-Holland Amsterdam
    • Baer, J.L., Optimal scheduling on two processors with different speeds. Gelenbe, E., Mahl, R., (eds.) Computer Architectures and Networks, 1974, North-Holland, Amsterdam, 27–45.
    • (1974) Computer Architectures and Networks , pp. 27-45
    • Baer, J.L.1
  • 6
    • 0015741880 scopus 로고
    • Scheduling with parallel processors and linear delay costs
    • Baker, K.R., Merten, A.G., Scheduling with parallel processors and linear delay costs. Naval Res. Logist. Quart. 20 (1973), 793–804.
    • (1973) Naval Res. Logist. Quart. , vol.20 , pp. 793-804
    • Baker, K.R.1    Merten, A.G.2
  • 7
    • 0017921368 scopus 로고
    • Finding an optimal sequence by dynamic programming: an extension to precedence-related tasks
    • Baker, K.R., Schrage, L.E., Finding an optimal sequence by dynamic programming: an extension to precedence-related tasks. Operations Res. 26 (1978), 111–120.
    • (1978) Operations Res. , vol.26 , pp. 111-120
    • Baker, K.R.1    Schrage, L.E.2
  • 8
    • 0016034846 scopus 로고
    • Sequencing with due-dates and early start times to minimize maximum tardiness
    • Baker, K.R., Su, Z.-S., Sequencing with due-dates and early start times to minimize maximum tardiness. Naval Res. Logist. Quart. 21 (1974), 171–176.
    • (1974) Naval Res. Logist. Quart. , vol.21 , pp. 171-176
    • Baker, K.R.1    Su, Z.-S.2
  • 10
    • 0017471858 scopus 로고
    • An improved algorithm for scheduling jobs on identical machines
    • Barnes, J.W., Brennan, J.J., An improved algorithm for scheduling jobs on identical machines. AIIE Trans. 9 (1977), 25–31.
    • (1977) AIIE Trans. , vol.9 , pp. 25-31
    • Barnes, J.W.1    Brennan, J.J.2
  • 11
    • 0016486185 scopus 로고
    • Scheduling with earliest start and due date constraints on multiple machines
    • Bratley, P., Florian, M., Robillard, P., Scheduling with earliest start and due date constraints on multiple machines. Naval Res. Logist. Quart. 22 (1975), 165–173.
    • (1975) Naval Res. Logist. Quart. , vol.22 , pp. 165-173
    • Bratley, P.1    Florian, M.2    Robillard, P.3
  • 12
    • 0017524635 scopus 로고
    • Scheduling equal-length tasks under treelike precedence constraints to minimize maximum lateness
    • Brucker, P., Garey, M.R., Johnson, D.S., Scheduling equal-length tasks under treelike precedence constraints to minimize maximum lateness. Math. Operations Res. 2 (1977), 275–284.
    • (1977) Math. Operations Res. , vol.2 , pp. 275-284
    • Brucker, P.1    Garey, M.R.2    Johnson, D.S.3
  • 13
    • 0016080006 scopus 로고
    • Scheduling independent tasks to reduce mean finishing time
    • Bruno, J., Coffman, E.G. Jr., Sethi, R., Scheduling independent tasks to reduce mean finishing time. Comm. ACM 17 (1974), 382–387.
    • (1974) Comm. ACM , vol.17 , pp. 382-387
    • Bruno, J.1    Coffman, E.G.2    Sethi, R.3
  • 14
    • 84881613583 scopus 로고
    • Scheduling independent tasks with release dates and due dates on parallel machines
    • Technical Report 213, Computer Science Department, Pennsylvania State University
    • J. Bruno and T. Gonzalez (1976), Scheduling independent tasks with release dates and due dates on parallel machines, Technical Report 213, Computer Science Department, Pennsylvania State University.
    • (1976)
    • Bruno, J.1    Gonzalez, T.2
  • 16
    • 0016735997 scopus 로고
    • Worst-case analysis of a placement algorithm related to storage allocation
    • Chandra, A.K., Wong, C.K., Worst-case analysis of a placement algorithm related to storage allocation. SIAM J. Comput. 4 (1975), 249–263.
    • (1975) SIAM J. Comput. , vol.4 , pp. 249-263
    • Chandra, A.K.1    Wong, C.K.2
  • 17
    • 0014749564 scopus 로고
    • A generalized machine scheduling algorithm
    • Charlton, J.M., Death, C.C., A generalized machine scheduling algorithm. Operational Res. Quart. 21 (1970), 127–134.
    • (1970) Operational Res. Quart. , vol.21 , pp. 127-134
    • Charlton, J.M.1    Death, C.C.2
  • 19
    • 85038112221 scopus 로고
    • On a class of scheduling algorithms for multiprocessors computing systems
    • T.-Y. Feng Springer Berlin
    • Chen, N.-F., Liu, C.L., On a class of scheduling algorithms for multiprocessors computing systems. Feng, T.-Y., (eds.) Parallel Processing, Lecture Notes in Computer Science, 24, 1975, Springer, Berlin, 1–16.
    • (1975) Parallel Processing, Lecture Notes in Computer Science , vol.24 , pp. 1-16
    • Chen, N.-F.1    Liu, C.L.2
  • 21
    • 85023420553 scopus 로고    scopus 로고
    • Jr., M.F. Garey and D.S. Johnson (1978), An application of bin-packing to multiprocessor scheduling, SIAM J. Comput., to appear
    • E.G. Coffman, Jr., M.F. Garey and D.S. Johnson (1978), An application of bin-packing to multiprocessor scheduling, SIAM J. Comput., to appear.
    • Coffman, E.G.1
  • 22
    • 0015482117 scopus 로고
    • Optimal scheduling for two-processor systems
    • Coffman, E.G. Jr., Graham, R.L., Optimal scheduling for two-processor systems. Acta Informat. 1 (1972), 200–213.
    • (1972) Acta Informat. , vol.1 , pp. 200-213
    • Coffman, E.G.1    Graham, R.L.2
  • 24
    • 0042904338 scopus 로고
    • Resource allocation in project network models ? a survey
    • Davis, E.W., Resource allocation in project network models ? a survey. J. Indust. Engrg. 17 (1966), 177–188.
    • (1966) J. Indust. Engrg. , vol.17 , pp. 177-188
    • Davis, E.W.1
  • 25
    • 0015725454 scopus 로고
    • Project scheduling under resource constraints ? historical review and categorization of procedures
    • Davis, E.W., Project scheduling under resource constraints ? historical review and categorization of procedures. AIIE Trans. 5 (1973), 297–313.
    • (1973) AIIE Trans. , vol.5 , pp. 297-313
    • Davis, E.W.1
  • 27
    • 0015679929 scopus 로고
    • A note on subexpression ordering in the execution of arithmetic expressions
    • Denning, P.J., Scott Graham, G., A note on subexpression ordering in the execution of arithmetic expressions. Comm. ACM 16 (1973), 700–702.
    • (1973) Comm. ACM , vol.16 , pp. 700-702
    • Denning, P.J.1    Scott Graham, G.2
  • 28
    • 0000552246 scopus 로고
    • Bounds for the optimal scheduling of n jobs on m processors
    • Eastman, W.L., Even, S., Isaacs, I.M., Bounds for the optimal scheduling of n jobs on m processors. Management Sci. 11 (1964), 268–279.
    • (1964) Management Sci. , vol.11 , pp. 268-279
    • Eastman, W.L.1    Even, S.2    Isaacs, I.M.3
  • 29
    • 0016035331 scopus 로고
    • Scheduling jobs on a number of identical machines
    • Elmaghraby, S.E., Park, S.H., Scheduling jobs on a number of identical machines. AIIE Trans. 6 (1974), 1–12.
    • (1974) AIIE Trans. , vol.6 , pp. 1-12
    • Elmaghraby, S.E.1    Park, S.H.2
  • 30
    • 0002983810 scopus 로고
    • Optimal solution of scheduling problems using Lagrange multipliers
    • Fisher, M.L., Optimal solution of scheduling problems using Lagrange multipliers. part I, Operations Res. 21 (1973), 1114–1127.
    • (1973) part I, Operations Res. , vol.21 , pp. 1114-1127
    • Fisher, M.L.1
  • 31
    • 0017240964 scopus 로고
    • A dual algorithm for the one-machine scheduling problem
    • Fisher, M.L., A dual algorithm for the one-machine scheduling problem. Math. Programming 11 (1976), 229–251.
    • (1976) Math. Programming , vol.11 , pp. 229-251
    • Fisher, M.L.1
  • 32
    • 0014534836 scopus 로고
    • Optimal sequencing of two equivalent processors
    • Fujii, M., Kasami, T., Ninomiya, K., Optimal sequencing of two equivalent processors. SIAM J. Appl. Math. 17 (1969), 784–789.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 784-789
    • Fujii, M.1    Kasami, T.2    Ninomiya, K.3
  • 33
    • 84914339127 scopus 로고
    • 1971
    • Erratum., 20, 1971, 141 1971.
    • (1971) Erratum. , vol.20 , pp. 141
  • 34
    • 85023365602 scopus 로고    scopus 로고
    • (−), Unpublished
    • M.R. Garey (−), Unpublished.
    • Garey, M.R.1
  • 35
    • 0003287437 scopus 로고
    • Bounds for multiprocessor scheduling with resource constraints
    • Garey, M.R., Graham, R.L., Bounds for multiprocessor scheduling with resource constraints. SIAM J. Comput. 4 (1975), 187–200.
    • (1975) SIAM J. Comput. , vol.4 , pp. 187-200
    • Garey, M.R.1    Graham, R.L.2
  • 36
    • 0017925568 scopus 로고
    • Performance guarantees for scheduling algorithms
    • Garey, M.R., Graham, R.L., Johnson, D.S., Performance guarantees for scheduling algorithms. Operations Res. 26 (1978), 3–21.
    • (1978) Operations Res. , vol.26 , pp. 3-21
    • Garey, M.R.1    Graham, R.L.2    Johnson, D.S.3
  • 37
    • 0001491336 scopus 로고    scopus 로고
    • D.S. Johnson (−), Unpublished. M.R. Garey, R.L. Graham, D.S. Johnson and A.C.-C. Yao (1976a), Resource constrained scheduling as generalized bin packing, J. Combinatorial Theory Ser. A 21, 257–298
    • M.R. Garey, R.L. Graham and D.S. Johnson (−), Unpublished. M.R. Garey, R.L. Graham, D.S. Johnson and A.C.-C. Yao (1976a), Resource constrained scheduling as generalized bin packing, J. Combinatorial Theory Ser. A 21, 257–298.
    • Garey, M.R.1    Graham, R.L.2
  • 38
    • 0001627504 scopus 로고
    • Complexity results for multiprocessor scheduling under resource constraints
    • Garey, M.R., Johnson, D.S., Complexity results for multiprocessor scheduling under resource constraints. SIAM J. Comput. 4 (1975), 397–411.
    • (1975) SIAM J. Comput. , vol.4 , pp. 397-411
    • Garey, M.R.1    Johnson, D.S.2
  • 39
    • 0016972077 scopus 로고
    • Scheduling tasks with nonuniform deadlines on two processors
    • Garey, M.R., Johnson, D.S., Scheduling tasks with nonuniform deadlines on two processors. J. Assoc. Comput. Mach. 23 (1976), 461–467.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 461-467
    • Garey, M.R.1    Johnson, D.S.2
  • 40
    • 0009615414 scopus 로고
    • Approximation algorithms for combinatorial problems: an annotated bibliography
    • J.F. Traub Academic Press New York
    • Garey, M.R., Johnson, D.S., Approximation algorithms for combinatorial problems: an annotated bibliography. Traub, J.F., (eds.) Algorithms and Complexity: New Directions and Recent Results, 1976, Academic Press, New York, 41–52.
    • (1976) Algorithms and Complexity: New Directions and Recent Results , pp. 41-52
    • Garey, M.R.1    Johnson, D.S.2
  • 41
    • 0001097778 scopus 로고
    • Two-processor scheduling with start-times and deadlines
    • Garey, M.R., Johnson, D.S., Two-processor scheduling with start-times and deadlines. S1AM J. Comput. 6 (1977), 416–426.
    • (1977) S1AM J. Comput. , vol.6 , pp. 416-426
    • Garey, M.R.1    Johnson, D.S.2
  • 42
    • 0016952078 scopus 로고
    • The complexity of flowshop and jobshop scheduling
    • Garey, M.R., Johnson, D.S., Sethi, R., The complexity of flowshop and jobshop scheduling. Math. Operations Res. 1 (1976), 117–129.
    • (1976) Math. Operations Res. , vol.1 , pp. 117-129
    • Garey, M.R.1    Johnson, D.S.2    Sethi, R.3
  • 43
    • 0015991935 scopus 로고
    • Coordinating aggregate and detailed scheduling decisions in the one-machine job shop: part I
    • Gelders, L., Kleindorfer, P.R., Coordinating aggregate and detailed scheduling decisions in the one-machine job shop: part I. Theory, Operations Res. 22 (1974), 46–60.
    • (1974) Theory, Operations Res. , vol.22 , pp. 46-60
    • Gelders, L.1    Kleindorfer, P.R.2
  • 44
    • 0016485364 scopus 로고
    • Coordinating aggregate and detailed scheduling in the one-machine job shop: II—computation and structure
    • Gelders, L., Kleindorfer, P.R., Coordinating aggregate and detailed scheduling in the one-machine job shop: II—computation and structure. Operations Res. 23 (1975), 312–324.
    • (1975) Operations Res. , vol.23 , pp. 312-324
    • Gelders, L.1    Kleindorfer, P.R.2
  • 45
    • 0000965956 scopus 로고
    • Heuristics in job shop scheduling
    • Gere, W.S., Heuristics in job shop scheduling. Management Sci. 13 (1966), 167–190.
    • (1966) Management Sci. , vol.13 , pp. 167-190
    • Gere, W.S.1
  • 46
    • 0000131281 scopus 로고
    • Algorithms for solving production-scheduling problems
    • Giffler, B., Thompson, G.L., Algorithms for solving production-scheduling problems. Operations Res. 8 (1960), 487–503.
    • (1960) Operations Res. , vol.8 , pp. 487-503
    • Giffler, B.1    Thompson, G.L.2
  • 47
    • 0001068310 scopus 로고
    • Sequencing a one-state variable machine: a solvable case of the traveling salesman problem
    • Gilmore, P.C., Gomory, R.E., Sequencing a one-state variable machine: a solvable case of the traveling salesman problem. Operations Res. 12 (1964), 655–679.
    • (1964) Operations Res. , vol.12 , pp. 655-679
    • Gilmore, P.C.1    Gomory, R.E.2
  • 48
    • 85023351006 scopus 로고
    • A note on open shop preemptive schedules, Technical Report 214, Computer Science Department, Pennsylvania State University
    • T. Gonzalez (1976), A note on open shop preemptive schedules, Technical Report 214, Computer Science Department, Pennsylvania State University.
    • (1976)
    • Gonzalez, T.1
  • 49
    • 0012491087 scopus 로고
    • Technical Report 220, Computer Science Department, Pennsylvania State University
    • T. Gonzalez (1977), Optimal mean finish time preemptive schedules, Technical Report 220, Computer Science Department, Pennsylvania State University.
    • (1977) Optimal mean finish time preemptive schedules
    • Gonzalez, T.1
  • 50
    • 0001748460 scopus 로고
    • Bounds for LPT schedules on uniform processors
    • Gonzalez, T., Ibarra, O.H., Sahni, S., Bounds for LPT schedules on uniform processors. SIAM J. Comput. 6 (1977), 155–166.
    • (1977) SIAM J. Comput. , vol.6 , pp. 155-166
    • Gonzalez, T.1    Ibarra, O.H.2    Sahni, S.3
  • 53
    • 0017012325 scopus 로고
    • Open shop scheduling to minimize finish time
    • Gonzalez, T., Sahni, S., Open shop scheduling to minimize finish time. J. Assoc. Comput. Mach. 23 (1976), 665–679.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 665-679
    • Gonzalez, T.1    Sahni, S.2
  • 54
    • 0017918132 scopus 로고
    • Flowshop and jobshop schedules: complexity and approximation
    • Gonzalez, T., Sahni, S., Flowshop and jobshop schedules: complexity and approximation. Operations Res. 26 (1978), 36–52.
    • (1978) Operations Res. , vol.26 , pp. 36-52
    • Gonzalez, T.1    Sahni, S.2
  • 55
    • 0017921271 scopus 로고
    • Preemptive scheduling of uniform processor systems
    • Gonzalez, T., Sahni, S., Preemptive scheduling of uniform processor systems. J. Assoc. Comput. Mach. 25 (1978), 92–101.
    • (1978) J. Assoc. Comput. Mach. , vol.25 , pp. 92-101
    • Gonzalez, T.1    Sahni, S.2
  • 58
    • 84944813080 scopus 로고
    • Bounds for certain multiprocessing anomalies
    • Graham, R.L., Bounds for certain multiprocessing anomalies. Bell System Tech. J. 45 (1966), 1563–1581.
    • (1966) Bell System Tech. J. , vol.45 , pp. 1563-1581
    • Graham, R.L.1
  • 59
    • 0014477093 scopus 로고
    • Bounds on multiprocessing timing anomalies
    • Graham, R.L., Bounds on multiprocessing timing anomalies. SIAM J. Appl. Math. 17 (1969), 263–269.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 263-269
    • Graham, R.L.1
  • 61
    • 0041473504 scopus 로고
    • Improved dominance conditions for the three-machine flowshop scheduling problem
    • (−),, Unpublished.
    • R.L. Graham (−), Unpublished. J.N.D. Gupta and S.S. Reddi (1978), Improved dominance conditions for the three-machine flowshop scheduling problem, Operations Res. 26, 200–203.
    • (1978) Operations Res. , vol.26 , pp. 200-203
    • Graham, R.L.1    Gupta, J.N.D.2    Reddi, S.S.3
  • 62
    • 0015397328 scopus 로고
    • Single-machine job sequencing with treelike precedence ordering and linear delay penalties
    • Horn, W.A., Single-machine job sequencing with treelike precedence ordering and linear delay penalties. SIAM J. Appl. Math. 23 (1972), 189–202.
    • (1972) SIAM J. Appl. Math. , vol.23 , pp. 189-202
    • Horn, W.A.1
  • 63
    • 0039729391 scopus 로고
    • Minimizing average flow time with parallel machines
    • Horn, W.A., Minimizing average flow time with parallel machines. Operations Res. 21 (1973), 846–847.
    • (1973) Operations Res. , vol.21 , pp. 846-847
    • Horn, W.A.1
  • 64
    • 0016034348 scopus 로고
    • Some simple scheduling algorithms
    • Horn, W.A., Some simple scheduling algorithms. Naval Res. Logist. Quart. 21 (1974), 177–185.
    • (1974) Naval Res. Logist. Quart. , vol.21 , pp. 177-185
    • Horn, W.A.1
  • 65
    • 0016943203 scopus 로고
    • Exact and approximate algorithms for scheduling nonidentical processors
    • Horowitz, E., Sahni, S., Exact and approximate algorithms for scheduling nonidentical processors. J. Assoc. Comput. Mach. 23 (1976), 317–327.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 317-327
    • Horowitz, E.1    Sahni, S.2
  • 66
  • 67
    • 84966239818 scopus 로고
    • Elementary proof of Hu's theorem on isotone mappings
    • Hsu, N.C., Elementary proof of Hu's theorem on isotone mappings. Proc. Amer. Math. Soc. 17 (1966), 111–114.
    • (1966) Proc. Amer. Math. Soc. , vol.17 , pp. 111-114
    • Hsu, N.C.1
  • 68
    • 0001430010 scopus 로고
    • Parallel sequencing and assembly line problems
    • Hu, T.C., Parallel sequencing and assembly line problems. Operations Res. 9 (1961), 841–848.
    • (1961) Operations Res. , vol.9 , pp. 841-848
    • Hu, T.C.1
  • 69
    • 0041885297 scopus 로고
    • Technical Report, Computer Science Department, University of Minnesota, Minneapolis
    • O.H. Ibarra and C.E. Kim (1975), Scheduling for maximum profit, Technical Report, Computer Science Department, University of Minnesota, Minneapolis.
    • (1975) Scheduling for maximum profit
    • Ibarra, O.H.1    Kim, C.E.2
  • 70
    • 0016532766 scopus 로고
    • On two-processor scheduling of one- or two-unit time tasks with precedence constraints
    • Ibarra, O.H., Kim, C.E., On two-processor scheduling of one- or two-unit time tasks with precedence constraints. J. Cybernet. 5 (1976), 87–109.
    • (1976) J. Cybernet. , vol.5 , pp. 87-109
    • Ibarra, O.H.1    Kim, C.E.2
  • 71
    • 0000769475 scopus 로고
    • Heuristic algorithms for scheduling independent tasks on nonidenti-cal processors
    • Ibarra, O.H., Kim, C.E., Heuristic algorithms for scheduling independent tasks on nonidenti-cal processors. J. Assoc. Comput. Mach. 24 (1977), 280–289.
    • (1977) J. Assoc. Comput. Mach. , vol.24 , pp. 280-289
    • Ibarra, O.H.1    Kim, C.E.2
  • 72
    • 0000177367 scopus 로고
    • Application of the branch-and-bound technique to some flow-shop scheduling problems
    • Ignall, E., Schrage, L., Application of the branch-and-bound technique to some flow-shop scheduling problems. Operations Res. 13 (1965), 400–412.
    • (1965) Operations Res. , vol.13 , pp. 400-412
    • Ignall, E.1    Schrage, L.2
  • 73
    • 0003666178 scopus 로고
    • Research Report 43, Management Science Research Project, University of California, Los Angeles
    • J.R. Jackson (1955), Scheduling a production line to minimize maximum tardiness, Research Report 43, Management Science Research Project, University of California, Los Angeles.
    • (1955) Scheduling a production line to minimize maximum tardiness
    • Jackson, J.R.1
  • 74
    • 0040362439 scopus 로고
    • An extension of Johnson's results on job lot scheduling
    • Jackson, J.R., An extension of Johnson's results on job lot scheduling. Naval Res. Logist. Quart. 3 (1956), 201–203.
    • (1956) Naval Res. Logist. Quart. , vol.3 , pp. 201-203
    • Jackson, J.R.1
  • 75
    • 0003622855 scopus 로고
    • Report MAC TR-109, Massachusetts Institute of Technology, Cambridge, MA
    • D.S. Johnson (1973), Near-optimal bin packing algorithms, Report MAC TR-109, Massachusetts Institute of Technology, Cambridge, MA.
    • (1973) Near-optimal bin packing algorithms
    • Johnson, D.S.1
  • 76
    • 0016069667 scopus 로고
    • Fast algorithms for bin packing
    • Johnson, D.S., Fast algorithms for bin packing. J. Comput. System Sci. 8 (1974), 272–314.
    • (1974) J. Comput. System Sci. , vol.8 , pp. 272-314
    • Johnson, D.S.1
  • 77
    • 0000339680 scopus 로고
    • Worst-case performance bounds for simple one-dimensional packing algorithms
    • Johnson, D.S., Demers, A., Ullman, J.D., Garey, M.R., Graham, R.L., Worst-case performance bounds for simple one-dimensional packing algorithms. SI AM J. Comput. 3 (1974), 299–325.
    • (1974) SI AM J. Comput. , vol.3 , pp. 299-325
    • Johnson, D.S.1    Demers, A.2    Ullman, J.D.3    Garey, M.R.4    Graham, R.L.5
  • 78
    • 0003075019 scopus 로고
    • Optimal two- and three-stage production schedules with setup times included
    • Johnson, S.M., Optimal two- and three-stage production schedules with setup times included. Naval Res. Logist. Quart. 1 (1954), 61–68.
    • (1954) Naval Res. Logist. Quart. , vol.1 , pp. 61-68
    • Johnson, S.M.1
  • 79
    • 0001551888 scopus 로고
    • Discussion: Sequencing n jobs on two machines with arbitrary time lags
    • Johnson, S.M., Discussion: Sequencing n jobs on two machines with arbitrary time lags. Management Sci. 5 (1958), 299–303.
    • (1958) Management Sci. , vol.5 , pp. 299-303
    • Johnson, S.M.1
  • 80
    • 56349112568 scopus 로고
    • Task scheduling on a multiprocessor system with independent memories
    • Kafura, D.G., Shen, V.Y., Task scheduling on a multiprocessor system with independent memories. SIAM J. Comput. 6 (1977), 167–187.
    • (1977) SIAM J. Comput. , vol.6 , pp. 167-187
    • Kafura, D.G.1    Shen, V.Y.2
  • 81
    • 0017994555 scopus 로고
    • An algorithm to design the memory configuration of a computer network
    • D.G. Kafura and V. Y. Shen (1978), An algorithm to design the memory configuration of a computer network, J. Assoc. Comput. Mach. 25, 365–377.
    • (1978) J. Assoc. Comput. Mach. , vol.25 , pp. 365-377
    • Kafura, D.G.1    Shen, V.Y.2
  • 82
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R.E. Miller J.W. Thatcher Plenum Press New York
    • Karp, R.M., Reducibility among combinatorial problems. Miller, R.E., Thatcher, J.W., (eds.) Complexity of Computer Computations, 1972, Plenum Press, New York, 85–103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 83
    • 0002884211 scopus 로고
    • On the computational complexity of combinatorial problems
    • Karp, R.M., On the computational complexity of combinatorial problems. Networks 5 (1975), 45–68.
    • (1975) Networks , vol.5 , pp. 45-68
    • Karp, R.M.1
  • 85
    • 0016126291 scopus 로고
    • An almost-optimal algorithm for the assembly line scheduling problem
    • Kaufman, M.T., An almost-optimal algorithm for the assembly line scheduling problem. IEEE Trans. Computers C-23 (1974), 1169–1174.
    • (1974) IEEE Trans. Computers , vol.C-23 , pp. 1169-1174
    • Kaufman, M.T.1
  • 86
    • 0017910613 scopus 로고
    • A solvable case of the one-machine scheduling problem with ready and due times
    • Kise, H., Ibaraki, T., Mine, H., A solvable case of the one-machine scheduling problem with ready and due times. Operations Res. 26 (1978), 121–126.
    • (1978) Operations Res. , vol.26 , pp. 121-126
    • Kise, H.1    Ibaraki, T.2    Mine, H.3
  • 87
    • 85023415064 scopus 로고
    • Private communication to T.C. Hu, July 23(1973) K.L. Krause 1973 Doctoral Dissertation, Computer Science Department, Purdue University, West Lafayette
    • D. Knuth (1973), Private communication to T.C. Hu, July 23(1973). K.L. Krause (1973), Analysis of computer scheduling with memory constraints, Doctoral Dissertation, Computer Science Department, Purdue University, West Lafayette.
    • (1973) Analysis of computer scheduling with memory constraints
    • Knuth, D.1
  • 88
    • 0016561620 scopus 로고
    • Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems
    • 24 1977, 527
    • Krause, K.L., Shen, V.Y., Schwetman, H.D., Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems. J. Assoc. Comput. Mach. 22 (1975), 522–550 24 1977, 527.
    • (1975) J. Assoc. Comput. Mach. , vol.22 , pp. 522-550
    • Krause, K.L.1    Shen, V.Y.2    Schwetman, H.D.3
  • 91
    • 85023380069 scopus 로고    scopus 로고
    • A.H.G. Rinnooy Kan (1978a), Computer aided complexity classification of deterministic scheduling problems (to appear)
    • B.J. Lageweg, E.L. Lawler, J.K. Lenstra and A.H.G. Rinnooy Kan (1978a), Computer aided complexity classification of deterministic scheduling problems (to appear).
    • Lageweg, B.J.1    Lawler, E.L.2    Lenstra, J.K.3
  • 92
    • 84995019145 scopus 로고
    • Minimizing maximum lateness on one machine: computational experience and some applications
    • Lageweg, B.J., Lenstra, J.K.A.H.G., Rinnooy Kan, G., Minimizing maximum lateness on one machine: computational experience and some applications. Statistica Neerlandica 30 (1976), 25–41.
    • (1976) Statistica Neerlandica , vol.30 , pp. 25-41
    • Lageweg, B.J.1    Lenstra, J.K.A.H.G.2    Rinnooy Kan, G.3
  • 94
    • 0017908060 scopus 로고
    • A general bounding scheme for the permutation flow-shop problem
    • Lageweg, B.J., Lenstra, J.K., Rinnooy Kan, A.H.G., A general bounding scheme for the permutation flow-shop problem. Operations Res. 26 (1978), 53–67.
    • (1978) Operations Res. , vol.26 , pp. 53-67
    • Lageweg, B.J.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3
  • 95
    • 0038527446 scopus 로고
    • Worst case analysis of two scheduling algorithms
    • Lam, S., Sethi, R., Worst case analysis of two scheduling algorithms. SI AM J. Comput. 6 (1977), 518–536.
    • (1977) SI AM J. Comput. , vol.6 , pp. 518-536
    • Lam, S.1    Sethi, R.2
  • 96
    • 0001253255 scopus 로고
    • Optimal sequencing of a single machine subject to precedence constraints
    • Lawler, E.L., Optimal sequencing of a single machine subject to precedence constraints. Management Sci. 19 (1973), 544–546.
    • (1973) Management Sci. , vol.19 , pp. 544-546
    • Lawler, E.L.1
  • 99
    • 77957077792 scopus 로고
    • A “pseudopolynomial” algorithm for sequencing jobs to minimize total tardiness
    • Lawler, E.L., A “pseudopolynomial” algorithm for sequencing jobs to minimize total tardiness. Ann. Discrete Math. 1 (1977), 331–342.
    • (1977) Ann. Discrete Math. , vol.1 , pp. 331-342
    • Lawler, E.L.1
  • 100
    • 77951587888 scopus 로고
    • Sequencing jobs to minimize total weighted completion time subject to precedence constraints
    • Lawler, E.L., Sequencing jobs to minimize total weighted completion time subject to precedence constraints. Ann. Discrete Math. 2 (1978), 75–90.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 75-90
    • Lawler, E.L.1
  • 101
    • 0018020599 scopus 로고    scopus 로고
    • J. Labetoulle (1978). On preemptive scheduling of unrelated parallel processors, J. Assoc. Comput. Mach., to appear
    • E.L. Lawler and J. Labetoulle (1978). On preemptive scheduling of unrelated parallel processors, J. Assoc. Comput. Mach., to appear.
    • Lawler, E.L.1
  • 102
    • 0014571702 scopus 로고
    • A functional equation and its application to resource allocation and sequencing problems
    • Lawler, E.L., Moore, J.M., A functional equation and its application to resource allocation and sequencing problems. Management Sci. 16 (1969), 77–84.
    • (1969) Management Sci. , vol.16 , pp. 77-84
    • Lawler, E.L.1    Moore, J.M.2
  • 104
    • 0016575022 scopus 로고
    • Some simple applications of the travelling salesman problem
    • (−), Unpublished.
    • J.K. Lenstra (−), Unpublished. J.K. Lenstra and A.H.G. Rinnooy Kan (1975), Some simple applications of the travelling salesman problem, Operational Res. Quart. 26, 717–733.
    • (1975) Operational Res. Quart. , vol.26 , pp. 717-733
    • Lenstra, J.K.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3
  • 105
    • 0017924416 scopus 로고
    • Complexity of scheduling under precedence constraints
    • Lenstra, J.K., Rinnooy Kan, A.H.G., Complexity of scheduling under precedence constraints. Operations Res. 26 (1978), 22–35.
    • (1978) Operations Res. , vol.26 , pp. 22-35
    • Lenstra, J.K.1    Rinnooy Kan, A.H.G.2
  • 106
    • 0000399511 scopus 로고
    • Computational complexity of discrete optimization problems
    • 1979 Discrete Optimization I.
    • Lenstra, J.K., Rinnooy Kan, A.H.G., Computational complexity of discrete optimization problems. Ann. Discrete Math., 4, 1978 1979 Discrete Optimization I.
    • (1978) Ann. Discrete Math. , vol.4
    • Lenstra, J.K.1    Rinnooy Kan, A.H.G.2
  • 110
    • 0013010957 scopus 로고
    • Bounds on scheduling algorithms for heterogeneous computing systems
    • J.L. Rosenfeld North-Holland Amsterdam
    • Liu, J.W.S., Liu, C.L., Bounds on scheduling algorithms for heterogeneous computing systems. Rosenfeld, J.L., (eds.) Information Processing, 74, 1974, North-Holland, Amsterdam, 349–353.
    • (1974) Information Processing , vol.74 , pp. 349-353
    • Liu, J.W.S.1    Liu, C.L.2
  • 111
    • 85023392315 scopus 로고    scopus 로고
    • C.L. Liu (1974b), Bounds on schedulling algorithms for heterogeneous computing systems, Technical Report UIUCDCS-R-74–632, Department of Computer Science, University of Illinois at Urbana-Champaign, 68 pp
    • J.W.S. Liu and C.L. Liu (1974b), Bounds on schedulling algorithms for heterogeneous computing systems, Technical Report UIUCDCS-R-74–632, Department of Computer Science, University of Illinois at Urbana-Champaign, 68 pp.
    • Liu, J.W.S.1
  • 112
    • 0348196443 scopus 로고
    • Performance analysis of heterogeneous multiprocessor computing systems
    • E. Gelenbe R. Mahl North-Holland Amsterdam 1974c
    • Liu, J.W.S., Liu, C.L., Performance analysis of heterogeneous multiprocessor computing systems. Gelenbe, E., Mahl, R., (eds.) Computer Architectures and Networks, 1974, North-Holland, Amsterdam, 331–343 1974c.
    • (1974) Computer Architectures and Networks , pp. 331-343
    • Liu, J.W.S.1    Liu, C.L.2
  • 113
    • 0040376237 scopus 로고
    • Optimal production schedules for flow shops
    • McMahon, G.B., Optimal production schedules for flow shops. Canad. Operational Res. Soc. J. 7 (1969), 141–151.
    • (1969) Canad. Operational Res. Soc. J. , vol.7 , pp. 141-151
    • McMahon, G.B.1
  • 115
    • 0016511108 scopus 로고
    • On scheduling with ready times and due dates to minimize maximum lateness
    • McMahon, G.B., Florian, M., On scheduling with ready times and due dates to minimize maximum lateness. Operations Res. 23 (1975), 475–482.
    • (1975) Operations Res. , vol.23 , pp. 475-482
    • McMahon, G.B.1    Florian, M.2
  • 116
    • 0002643827 scopus 로고
    • Scheduling with deadlines and loss functions
    • McNaughton, R., Scheduling with deadlines and loss functions. Management Sci. 6 (1959), 1–12.
    • (1959) Management Sci. , vol.6 , pp. 1-12
    • McNaughton, R.1
  • 117
    • 0001551888 scopus 로고
    • Sequencing n jobs on two machines with arbitrary time lags
    • Mitten, L.G., Sequencing n jobs on two machines with arbitrary time lags. Management Sci. 5 (1958), 293–298.
    • (1958) Management Sci. , vol.5 , pp. 293-298
    • Mitten, L.G.1
  • 119
    • 85023350647 scopus 로고    scopus 로고
    • J.B. Sidney (1977), A general algorithm for optimal job sequencing with series-parallel precedence constraints, Technical Report 347, School of Operations Research, Cornell University, Ithaca, NY
    • C.L. Monma and J.B. Sidney (1977), A general algorithm for optimal job sequencing with series-parallel precedence constraints, Technical Report 347, School of Operations Research, Cornell University, Ithaca, NY.
    • Monma, C.L.1
  • 120
    • 0000062028 scopus 로고
    • An n job, one machine sequencing algorithm for minimizing the number of late jobs
    • Moore, J.M., An n job, one machine sequencing algorithm for minimizing the number of late jobs. Management Sci. 15 (1968), 102–109.
    • (1968) Management Sci. , vol.15 , pp. 102-109
    • Moore, J.M.1
  • 121
    • 0014596508 scopus 로고
    • Optimal preemptive scheduling on two-processor systems
    • Muntz, R.R., Coffman, E.G. Jr., Optimal preemptive scheduling on two-processor systems. IEEE Trans. Computers C-18 (1969), 1014–1020.
    • (1969) IEEE Trans. Computers , vol.C-18 , pp. 1014-1020
    • Muntz, R.R.1    Coffman, E.G.2
  • 122
    • 0014766132 scopus 로고
    • Preemptive scheduling of real time tasks on multiprocessor systems
    • Muntz, R.R., Coffman, E.G. Jr., Preemptive scheduling of real time tasks on multiprocessor systems. J. Assoc. Comput. Mach. 17 (1970), 324–338.
    • (1970) J. Assoc. Comput. Mach. , vol.17 , pp. 324-338
    • Muntz, R.R.1    Coffman, E.G.2
  • 123
    • 0347009867 scopus 로고
    • Ph.D. Thesis, Department of Computer Science, University of Illinois at Urbana-Champaign
    • Y. Muraoka (1971), Parallelism, exposure and exploitation in programs, Ph.D. Thesis, Department of Computer Science, University of Illinois at Urbana-Champaign.
    • (1971) Parallelism, exposure and exploitation in programs
    • Muraoka, Y.1
  • 124
    • 85023279328 scopus 로고
    • Industrial Scheduling (Prentice-Hall, Englewood Cliffs, NJ) 236. I. Nabeshima (1963), Sequencing on two machines with start lag and stop lag
    • Muth, J.F., Thompson, G.L., Industrial Scheduling (Prentice-Hall, Englewood Cliffs, NJ) 236. I. Nabeshima (1963), Sequencing on two machines with start lag and stop lag. J. Operations Res. Soc. Japan 5 (1963), 97–101.
    • (1963) J. Operations Res. Soc. Japan , vol.5 , pp. 97-101
    • Muth, J.F.1    Thompson, G.L.2
  • 126
    • 0009395081 scopus 로고
    • Ein Beitrag zum Reihenfolgeproblem
    • Piehler, J., Ein Beitrag zum Reihenfolgeproblem. Unternehmensforschung 4 (1960), 138–142.
    • (1960) Unternehmensforschung , vol.4 , pp. 138-142
    • Piehler, J.1
  • 127
    • 0015401303 scopus 로고
    • On the flow-shop sequencing problem with no wait in process
    • Reddi, S.S., Ramamoorthy, C.V., On the flow-shop sequencing problem with no wait in process. Operational Res. Quart. 23 (1972), 323–331.
    • (1972) Operational Res. Quart. , vol.23 , pp. 323-331
    • Reddi, S.S.1    Ramamoorthy, C.V.2
  • 130
    • 0001491109 scopus 로고
    • Scheduling independent tasks on parallel processors
    • (−), Unpublished.
    • P. Rosenfeld (−), Unpublished. M.H. Rothkopf (1966), Scheduling independent tasks on parallel processors, Management Sci. 12, 437–447.
    • (1966) Management Sci. , vol.12 , pp. 437-447
    • Rosenfeld, P.1    Rothkopf, M.H.2
  • 132
    • 0016883405 scopus 로고
    • Algorithms for scheduling independent tasks
    • Sahni, S., Algorithms for scheduling independent tasks. J. Assoc. Comput. Mach. 23 (1976), 116–127.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 116-127
    • Sahni, S.1
  • 135
    • 85023305098 scopus 로고    scopus 로고
    • Y. Cho (1977C), Complexity of scheduling jobs with no wait in process, Technical Report 77–20, Computer Science Department, University of Minnesota, Minneapolis
    • S. Sahni and Y. Cho (1977C), Complexity of scheduling jobs with no wait in process, Technical Report 77–20, Computer Science Department, University of Minnesota, Minneapolis.
    • Sahni, S.1
  • 137
    • 0003926743 scopus 로고
    • Scheduling graphs on two processors
    • Sethi, R., Scheduling graphs on two processors. SIAM J. Comput. 5 (1976), 73–82.
    • (1976) SIAM J. Comput. , vol.5 , pp. 73-82
    • Sethi, R.1
  • 138
    • 0017558373 scopus 로고
    • On the complexity of mean flow time scheduling
    • Sethi, R., On the complexity of mean flow time scheduling. Math. Operations Res. 2 (1977), 320–330.
    • (1977) Math. Operations Res. , vol.2 , pp. 320-330
    • Sethi, R.1
  • 140
    • 0016483826 scopus 로고
    • Decomposition algorithms for single-machine sequencing with precedence relations and deferral costs
    • Sidney, J.B., Decomposition algorithms for single-machine sequencing with precedence relations and deferral costs. Operations Res. 23 (1975), 283–298.
    • (1975) Operations Res. , vol.23 , pp. 283-298
    • Sidney, J.B.1
  • 142
    • 0002066821 scopus 로고
    • Various optimizers for single-stage production
    • Smith, W.E., Various optimizers for single-stage production. Naval Res. Logist. Quart. 3 (1956), 59–66.
    • (1956) Naval Res. Logist. Quart. , vol.3 , pp. 59-66
    • Smith, W.E.1
  • 144
    • 26444476435 scopus 로고
    • On some sequencing problems
    • Szwarc, W., On some sequencing problems. Naval Res. Logist. Quart. 15 (1968), 127–155.
    • (1968) Naval Res. Logist. Quart. , vol.15 , pp. 127-155
    • Szwarc, W.1
  • 145
    • 0040376238 scopus 로고
    • Elimination methods in the m x n sequencing problem
    • Szwarc, W., Elimination methods in the m x n sequencing problem. Naval Res. Logist. Quart. 18 (1971), 295–305.
    • (1971) Naval Res. Logist. Quart. , vol.18 , pp. 295-305
    • Szwarc, W.1
  • 146
    • 0005771451 scopus 로고
    • Optimal elimination methods in the m x n sequencing problem
    • Szwarc, W., Optimal elimination methods in the m x n sequencing problem. Operations Res. 21 (1973), 1250–1259.
    • (1973) Operations Res. , vol.21 , pp. 1250-1259
    • Szwarc, W.1
  • 147
    • 0040376242 scopus 로고
    • Dominance conditions for the three machine flow-shop problem
    • Szwarc, W., Dominance conditions for the three machine flow-shop problem. Operations Res. 26 (1978), 203–206.
    • (1978) Operations Res. , vol.26 , pp. 203-206
    • Szwarc, W.1
  • 148
    • 0017439253 scopus 로고
    • A branch-and-bound method for sequencing problems with linear and exponential penalty functions
    • Townsend, W., A branch-and-bound method for sequencing problems with linear and exponential penalty functions. Operational Res. Quart. 28 (1977), 191–200.
    • (1977) Operational Res. Quart. , vol.28 , pp. 191-200
    • Townsend, W.1
  • 149
    • 0017494957 scopus 로고
    • Sequencing n jobs on m machines to minimise maximum tardiness: a branch-and-bound solution
    • Townsend, W., Sequencing n jobs on m machines to minimise maximum tardiness: a branch-and-bound solution. Management Sci. 23 (1977), 1016–1019.
    • (1977) Management Sci. , vol.23 , pp. 1016-1019
    • Townsend, W.1
  • 150
    • 0016518855 scopus 로고
    • NP-complete scheduling problems
    • Ullman, J.D., NP-complete scheduling problems. J. Comput. System Sci. 10 (1975), 384–393.
    • (1975) J. Comput. System Sci. , vol.10 , pp. 384-393
    • Ullman, J.D.1
  • 152
    • 0016035515 scopus 로고
    • Minimizing mean flowtime in the flow shop with no intermediate queues
    • Van Deman, J.M., Baker, K.R., Minimizing mean flowtime in the flow shop with no intermediate queues. AIIE Trans. 6 (1974), 28–34.
    • (1974) AIIE Trans. , vol.6 , pp. 28-34
    • Van Deman, J.M.1    Baker, K.R.2
  • 153
    • 0000153186 scopus 로고
    • Solution of the flowshop-scheduling problem with no intermediate queues
    • Wismer, D.A., Solution of the flowshop-scheduling problem with no intermediate queues. Operations Res. 20 (1972), 689–697.
    • (1972) Operations Res. , vol.20 , pp. 689-697
    • Wismer, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.