R. Aharoni, P. Erdös and N. Linial, “Dual integer linear programs and the relationship between their optima,”Proceedings of the 17th Annual ACM Symposium on Theory of Computing (1985) 476–483.
J.J. Bartholdi III, “A guaranteed-accuracy round-off algorithm for cyclic scheduling and set covering,”Operations Research 29 (1981) 501–510.
J.J. Bartholdi III, J.B. Orlin and H.D. Ratliff, “Cyclic scheduling via integer programs with circular ones,”Operations Research 28 (1980) 1074–1085.
S. Baum and L.E. Trotter Jr., “Integer rounding for polymatroid and branching optimization problems,”SIAM Journal on Algebraic and Discrete Methods 2 (1981) 416–425.
V. Chvátal, “A greedy heuristic for the set-covering problem,”Mathematics of Operations Research 4 (1979) 233–235.
G.B. Dantzig,Linear Programming and Extensions (Princeton University Press, Princeton, NJ, 1963).
E. Davis and J.M. Jaffe, “Algorithms for scheduling tasks on unrelated processors,”Journal of the Association for Computing Machinery 28 (1981) 721–736.
M.R. Garey and D.S. Johnson, “Complexity results for multiprocessor scheduling under resource constraints,”SIAM Journal on Computing 4 (1975) 397–411.
M.R. Garey and D.S. Johnson, “Strong NP-completeness results: motivation, examples and implications,”Journal of the Association for Computing Machinery 25 (1978) 499–508.
M.R. Garey and D.S. Johnson,Computers and Intractability: a Guide to the Theory of NP-Completeness (Freeman, San Francisco, CA, 1979).
T. Gonzalez, O.H. Ibarra and S. Sahni, “Bounds for LPT schedules on uniform processors,”SIAM Journal on Computing 6 (1977) 155–166.
R.L. Graham, “Bounds for certain multiprocessing anomalies,”Bell System Technological Journal 45 (1966) 1563–1581.
R.L. Graham, “Bounds on multiprocessing timing anomalies,”SIAM Journal on Applied Mathematics 17 (1969) 416–429.
R.L. Graham, E.L. Lawler, J.K. Lenstra and A.H.G. Rinnooy Kan, “Optimization and approximation in deterministic sequencing and scheduling: a survey,”Annals of Discrete Mathematics 5 (1979) 287–326.
M. Grötschel, L. Lovász and A. Schrijver,Geometric Algorithms and Combinatorial Optimization (Springer, Berlin, 1988).
D.S. Hochbaum and D.B. Shmoys, “Using dual approximation algorithms for scheduling problems: practical and theoretical results,”Journal of the Association for Computing Machinery 34 (1987) 144–162.
D.S. Hochbaum and D.B. Shmoys, “A polynomial approximation scheme for machine scheduling on uniform processors: using the dual approximation approach,”SIAM Journal on Computing 17 (1988) 539–551.
E. Horowitz and S. Sahni, “Exact and approximate algorithms for scheduling nonidentical processors,”Journal of the Association for Computing Machinery 23 (1976) 317–327.
L.G. Khachian, “A polynomial time algorithm in linear programming, “Soviet Mathematics Doklady 20 (1979) 191–194.
L. Lovász, “On the ratio of optimal and fractional covers,”Discrete Applied Mathematics 13 (1983) 383–390.
O.M.-C. Marcotte,Topics in Combinatorial Packing and Covering, Ph.D. Thesis, School of Operations Research and Industrial Engineering, Cornell University (Ithaca, NY, 1983).
K. Numata, “Approximate and exact algorithms for scheduling independent tasks on unrelated processors,”Journal of the Operations Research Society of Japan 31 (1988) 61–81.
C.N. Potts, “Analysis of a linear programming heuristic for scheduling unrelated parallel machines,”Discrete Applied Mathematics 10 (1985) 155–164.
P. Raghavan, “Probabilistic construction of deterministic algorithms: approximating packing integer programs,”Proceedings of the 27th Annual IEEE Symposium on Foundations of Computer Science (1986) 10–18.
P. Raghavan and C.D. Thompson, “Provably good routing in graphs: regular arrays,”Proceedings of the 17th Annual ACM Symposium on Theory of Computing (1985) 79–87.
S. Sahni, “Algorithms for scheduling independent tasks,”Journal of the Association for Computing Machinery 23 (1976) 116–127.
A. Schrijver, “Min-Max results in combinatorial optimization,” in: A. Bachem, M. Grötschel and B. Korte, eds.,Mathematical Programming: The State of the Art—Bonn 1982 (Springer, Berlin, 1983) pp. 439–500.
A. Schrijver,Theory of Linear and Integer Programming (Wiley, Chichester, 1986).