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Scheduling subject to resource constraints: Classification and complexity. (English) Zbl 0516.68037

MSC:
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
90B35 Deterministic scheduling theory in operations research
68Q25 Analysis of algorithms and problem complexity
Software:
Algorithm 520
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References:
[1] Blazewicz, J., Deadline scheduling of tasks with ready times and resource constraints, Information processing lett., 8, 60-63, (1979) · Zbl 0401.90048
[2] Conway, R.W.; Maxwell, W.L.; Miller, L.W., Theory of schedulling, (1967), Addison-Wesley Reading, MA
[3] Even, S.; Kariv, O., An O(n2·5) algorithm for maximum matching in general graphs, Proc. 16th annual IEEE symp. foundations of computer science, 100-112, (1975)
[4] Garey, M.R.; Johnson, D.S., Complexity results for multiprocessor scheduling under resource constraints, SIAM J. comput., 4, 397-411, (1975) · Zbl 0365.90076
[5] Garey, M.R.; Johnson, D.S., Computers and intractability: a guide to the theory of NP-completeness, (1979), Freeman San Francisco · Zbl 0411.68039
[6] Gonzalez, T.; Sahni, S., Preemptive scheduling of uniform processor systems, J. assoc. comput. Mach., 25, 92-101, (1978) · Zbl 0364.68046
[7] Graham, R.L.; Lawler, E.L.; Lenstra, J.K.; Kan, A.H.G.Rinnooy, Optimization and approximation in deterministic sequencing and scheduling: a survey, Ann. discrete math., 5, 287-326, (1979) · Zbl 0411.90044
[8] Karp, R.M., On the computational complexity of combinatorial problems, Networks, 5, 45-68, (1975) · Zbl 0324.05003
[9] Khachian, L.G., A polynomial algorithm in linear programming, Soviet math. dokl., 20, 191-194, (1979) · Zbl 0409.90079
[10] Lageweg, B.J.; Lawler, E.L.; Lenstra, J.K.; Kan, A.H.G.Rinnooy, Computer aided complexity classification of deterministic scheduling problems, () · Zbl 0452.90035
[11] Slowinski, R., Two approaches to problems of resource allocation among project activities — a comparative study, J. operational res. soc., 31, 711-723, (1980) · Zbl 0439.90042
[12] Ullman, J.D., Complexity of sequencing problems, (), 139-164
[13] Weglarz, J.; Blazewicz, J.; Cellary, W.; Slowinski, R., Algorithm 520: an automatic revised simplex method for constrained resource network scheduling, ACM trans. math. software, 3, 295-300, (1977) · Zbl 0374.90033
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