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Volumn 31, Issue 1, 2001, Pages 1-17

A polynomial time approximation scheme for general multiprocessor job scheduling

Author keywords

Approximation algorithm; Job scheduling; Multiprocessor processing; Polynomial time approximation scheme

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DYNAMIC PROGRAMMING; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; SCHEDULING;

EID: 0036218779     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539798348110     Document Type: Article
Times cited : (24)

References (25)
  • 1
    • 84949203105 scopus 로고    scopus 로고
    • Scheduling independent multiprocessor tasks
    • Proceedings of the 5th Annual European Symposium on Algorithms, Graz, Austria, Springer-Verlag, Berlin
    • A. K. AMOURA, E. BAMPIS, C. KENYON, AND Y. MANOUSSAKIS, Scheduling independent multiprocessor tasks, in Proceedings of the 5th Annual European Symposium on Algorithms, Graz, Austria, Lecture Notes in Comput. Sci. 1284, Springer-Verlag, Berlin, 1997, pp. 1-12.
    • (1997) Lecture Notes in Comput. Sci. , vol.1284 , pp. 1-12
    • Amoura, A.K.1    Bampis, E.2    Kenyon, C.3    Manoussakis, Y.4
  • 2
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of approximation problems
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN, AND M. SZEGEDY, Proof verification and the hardness of approximation problems, J. ACM, 45 (1998), pp. 501-555.
    • (1998) J. ACM , vol.45 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 21844518507 scopus 로고
    • Scheduling multiprocessor tasks on a dynamic configuration of dedicated processors
    • L. BIANCO, J. BLAZEWICZ, P. DELL'OLMO, AND M. DROZDOWSKI, Scheduling multiprocessor tasks on a dynamic configuration of dedicated processors, Ann. Oper. Res., 58 (1995), pp. 493-517.
    • (1995) Ann. Oper. Res. , vol.58 , pp. 493-517
    • Bianco, L.1    Blazewicz, J.2    Dell'Olmo, P.3    Drozdowski, M.4
  • 6
    • 0022717856 scopus 로고
    • Scheduling multiprocessor tasks to minimize scheduling length
    • J. BLAZEWICZ, M. DROZDOWSKI, AND J. WEGLARZ, Scheduling multiprocessor tasks to minimize scheduling length, IEEE Trans. Comput., 35 (1986), pp. 389-393.
    • (1986) IEEE Trans. Comput. , vol.35 , pp. 389-393
    • Blazewicz, J.1    Drozdowski, M.2    Weglarz, J.3
  • 8
    • 0033079757 scopus 로고    scopus 로고
    • General multiprocessor tasks scheduling
    • J. CHEN AND C.-Y. LEE, General multiprocessor tasks scheduling, Naval Res. Logist., 46 (1999), pp. 57-74.
    • (1999) Naval Res. Logist. , vol.46 , pp. 57-74
    • Chen, J.1    Lee, C.-Y.2
  • 10
    • 0008757653 scopus 로고    scopus 로고
    • Efficiency and effectiveness of normal schedules on three dedicated processors
    • P. DELL'OLMO, M. G. SPERANZA, AND ZS. TUZA, Efficiency and effectiveness of normal schedules on three dedicated processors, Discrete Math., 164 (1997), pp. 67-79.
    • (1997) Discrete Math. , vol.164 , pp. 67-79
    • Dell'Olmo, P.1    Speranza, M.G.2    Tuza, Z.S.3
  • 11
    • 0024701172 scopus 로고
    • Simultaneous resource scheduling to minimize weighted flow times
    • G. DOBSON AND U. KARMARKAR, Simultaneous resource scheduling to minimize weighted flow times, Oper. Res., 37 (1989), pp. 592-600.
    • (1989) Oper. Res. , vol.37 , pp. 592-600
    • Dobson, G.1    Karmarkar, U.2
  • 12
    • 0001021215 scopus 로고
    • Complexity of scheduling parallel task systems
    • J. DU AND J. Y.-T. LEUNG, Complexity of scheduling parallel task systems, SIAM J. Discrete Math., 2 (1989), pp. 473-487.
    • (1989) SIAM J. Discrete Math. , vol.2 , pp. 473-487
    • Du, J.1    Leung, J.Y.-T.2
  • 14
    • 0003039647 scopus 로고
    • An approximation algorithm for scheduling on three dedicated machines
    • M. X. GOEMANS, An approximation algorithm for scheduling on three dedicated machines, Discrete Appl. Math., 61 (1995), pp. 49-59.
    • (1995) Discrete Appl. Math. , vol.61 , pp. 49-59
    • Goemans, M.X.1
  • 15
    • 84944813080 scopus 로고
    • Bounds for certain multiprocessing anomalies
    • R. L. GRAHAM, Bounds for certain multiprocessing anomalies, Bell System Tech. J., 45 (1966), pp. 1563-1581.
    • (1966) Bell System Tech. J. , vol.45 , pp. 1563-1581
    • Graham, R.L.1
  • 17
    • 0002552417 scopus 로고    scopus 로고
    • Approximation algorithms for scheduling
    • D. S. Hochbaum, ed., PWS, Boston
    • L. A. HALL, Approximation algorithms for scheduling, in Approximation Algorithms for NP-Hard Problems, D. S. Hochbaum, ed., PWS, Boston, 1997, pp. 1-45.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 1-45
    • Hall, L.A.1
  • 18
    • 0000071158 scopus 로고
    • Complexity of scheduling multiprocessor tasks with prespecified processor allocations
    • J. A. HOOGEVEEN, S. L. VAN DE VELDE, AND B. VELTMAN, Complexity of scheduling multiprocessor tasks with prespecified processor allocations, Discrete Appl. Math., 55 (1994), pp. 259-272.
    • (1994) Discrete Appl. Math. , vol.55 , pp. 259-272
    • Hoogeveen, J.A.1    Van De Velde, S.L.2    Veltman, B.3
  • 19
    • 84949796959 scopus 로고    scopus 로고
    • A simple linear time approximation algorithm for multiprocessor job scheduling on four processors
    • Proceedings of the 11th Annual International Symposium on Algorithms and Computation (ISAAC 2000), Springer-Verlag, New York
    • J. HUANG, J. CHEN, AND S. CHEN, A simple linear time approximation algorithm for multiprocessor job scheduling on four processors, in Proceedings of the 11th Annual International Symposium on Algorithms and Computation (ISAAC 2000), Lecture Notes in Comput. Sci. 1969, Springer-Verlag, New York, 2000, pp. 60-71.
    • (2000) Lecture Notes in Comput. Sci. , vol.1969 , pp. 60-71
    • Huang, J.1    Chen, J.2    Chen, S.3
  • 20
    • 0016560084 scopus 로고
    • Fast approximation algorithms for the Knapsack and sum of subset problems
    • O. H. IBARRA AND C. E. KIM, Fast approximation algorithms for the Knapsack and sum of subset problems, J. Assoc. Comput. Mach., 22 (1975), pp. 463-468.
    • (1975) J. Assoc. Comput. Mach. , vol.22 , pp. 463-468
    • Ibarra, O.H.1    Kim, C.E.2
  • 21
    • 0001003515 scopus 로고    scopus 로고
    • General multiprocessor task scheduling: Approximate solutions in linear time
    • Proceedings of the 6th Workshop on Algorithms and Data Structures (WADS '99), Springer-Verlag, New York, Berlin
    • K. JANSEN AND L. PORKOLAB, General multiprocessor task scheduling: Approximate solutions in linear time, in Proceedings of the 6th Workshop on Algorithms and Data Structures (WADS '99), Lecture Notes in Comput. Sci. 1663, Springer-Verlag, New York, Berlin, 1999, pp. 110-121.
    • (1999) Lecture Notes in Comput. Sci. , vol.1663 , pp. 110-121
    • Jansen, K.1    Porkolab, L.2
  • 22
    • 0022121187 scopus 로고
    • An approximation algorithm for diagnostic test scheduling in multicomputer systems
    • H. KRAWCZYK AND M. KUBALE, An approximation algorithm for diagnostic test scheduling in multicomputer systems, IEEE Trans. Comput., 34 (1985), pp. 869-872.
    • (1985) IEEE Trans. Comput. , vol.34 , pp. 869-872
    • Krawczyk, H.1    Kubale, M.2
  • 23
    • 0008799670 scopus 로고    scopus 로고
    • Scheduling multiprocessor tasks without prespecified processor allocations
    • to appear
    • C.-Y. LEE AND X. CAI, Scheduling multiprocessor tasks without prespecified processor allocations, IIE Transactions, to appear.
    • IIE Transactions
    • Lee, C.-Y.1    Cai, X.2
  • 24
    • 0031492360 scopus 로고    scopus 로고
    • Current trends in deterministic scheduling
    • C.-Y. LEE, L. LEI, AND M. PINEDO, Current trends in deterministic scheduling, Ann. Oper. Res., 70 (1997), pp. 1-42.
    • (1997) Ann. Oper. Res. , vol.70 , pp. 1-42
    • Lee, C.-Y.1    Lei, L.2    Pinedo, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.