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When does a dynamic programming formulation guarantee the existence of an FPTAS?

Published: 01 January 1999 Publication History
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References

[1]
G. AUSIELLO, P. CRESCENZI, AND M. PROTASI, Approximate solution of NP optimization problems, Theoretical Computer Science 150, 1995, 1-55.
[2]
G. AUSmLLO, A. D'ATru, AND M. PRO;rASI, Structure preserving reductions among convex optimization problems, Journal of Computer and Systems Sciences 21, 1980, 136--153.
[3]
G. AUSlELLO, A. MARCHETTI-SPACCAMELA, AND M. PROTASl, Toward a unified approach for the classification of NP-complete optimization problem, Theoretical Computer Science 12, 1980, 83-96.
[4]
P. BRUCKErt AND M.Y. KOVALYOV, Single machine batch scheduling to mimmize the weighted number of late jobs, ZOR - Mathematical Methods of Operations Research 43, 1996, 1-8.
[5]
Z.-L. CHErt, Parallel machine scheduling with time dependent processing times, Discrete Applied Mathematics 70, 1996, 81-93.
[6]
M.R. GArmY AND D.S. JOHNSON, 'Strong' NP- completeness results: motivation, examples, and implications, Journal of the A CM 25, 1978, 499-508.
[7]
M.l=t. GAREY AND D.S.JOHNSON, Computers and Intractability: A Guide to the Theory of NP- Completeness, Freeman, San Francisco, 1979.
[8]
G.V. GEN$ AND E.V. LEVNER, Fast approximation algorithms for job sequencing with deadlines, Discrete Applied Mathematics 3, 1981, 313-318.
[9]
N.G. HALL AND M.E. Posr#Ert, Earhness-tardiness scheduling problems, I: weighted deviation of completion times about a common due date, Operations Research 39, 1991, 836-846.
[10]
E. HOROWITZ AND S. SAHNI, Computing partitions with applications to the knapsack problem: Journal of the A CM 21, 1974, 277-292.
[11]
E. HoRowrrz AND S. SAHNI, Exact and approximate algorithms for scheduling nonidentical processors, Journal of the ACM 23, 1976, 317-327.
[12]
O. IBAR.rtA AND C.E. KIM, Fast approximation algorithms for the knapsack and sum of subset problems, Journal of the A CM 22, 1975, 463-468.
[13]
B. 3URISCH, W. KUBIAK, AND J.JOZEFOWSKA, Algorithms for minclique scheduling problems, Discrete Applied Mathematics 72, 1997, 115-139.
[14]
R.M. KARl', Reducibility among combinatorial problems, in R.E. Miller and J.W. Thatcher, editors, Complexity of Computer Computations, Plenum Press, New York, 1972, 85-104.
[15]
M.Y. KOVALYOV AND W. KUBt#K, A fully polynomial time approximation scheme for the weighted earlinesstardiness problem, 1997. To appear in Operations Research.
[16]
M.Y. Kov#mYOV AND W. KUBIAK, A fully polynomial time approximation scheme for minimizing makespan of deteriorating jobs, Journal o/ Heuristics 3, 1998, 287-297.
[17]
M.Y. KOVALYOV, C.N. POTTS, AND L.N. VAN WASSENHOVE, A fully polynomial approximation scheme for scheduling a single machine to minimize total weighted late work, Mathematics of Operations Research 19, 1994, 86-93.
[18]
E.L. LAWLErt, .J.K. LENSTRA, A.H.G. RaNNOOY KAN, Arid D.B. SHMOYS, Sequencing and scheduling: Algorithras and complexity, in: S.C. Graves, A.H.G. Rinnooy Kan, and P.H. Zipkin (eds.) Logistics of Production and Inventory, Handbooks in Operations Research and Management Science 4, North-Holland, Amsterdam, 1993, 445-522.
[19]
.J.K. LENSTrtA, unpublished manuscript, Berkeley, 1977.
[20]
A. PAz AND S. MORAN, Non deterministic polynomial optimization problems and their approximations, Theoretical Computer Science 15, 1981, 251-277.
[21]
C.N. POTTS AND L.N. VAN WASSENHOVE, Approximation algorithms for scheduling a single machine to minimize total late work, Operations Research Letters 11, 1992, 261-266.
[22]
S. SAHNI, Algorithms for scheduling independent tasks, Journal of the A CM 23, 1976, 116-127.

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cover image ACM Conferences
SODA '99: Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
January 1999
992 pages
ISBN:0898714346

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Published: 01 January 1999

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SODA99: 1999 10th Conference on Discrete Algorithms
January 17 - 19, 1999
Maryland, Baltimore, USA

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