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Volumn 85, Issue 2, 1998, Pages 149-162

Is a unit-time job shop not easier than identical parallel machines?

Author keywords

Identical parallel machines; Job shop; NP hardness; Polynomial time reduction; Scheduling; Unit time operations

Indexed keywords


EID: 0004708371     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(98)00032-8     Document Type: Article
Times cited : (25)

References (38)
  • 1
    • 0030125537 scopus 로고    scopus 로고
    • Polynomial algorithms for resource-constrained and multiprocessor task scheduling problems
    • P. Brucker, A. Kraemer, Polynomial algorithms for resource-constrained and multiprocessor task scheduling problems, EJOR 90 (1996) 214-226.
    • (1996) EJOR , vol.90 , pp. 214-226
    • Brucker, P.1    Kraemer, A.2
  • 2
    • 0039874405 scopus 로고
    • On the complexity of two machine job-shop scheduling with regular objective functions
    • P. Brucker, S.A. Kravchenko, Y.N. Sotskov, On the complexity of two machine job-shop scheduling with regular objective functions, OSM Reihe P, vol. 172, 1995.
    • (1995) OSM Reihe P , vol.172
    • Brucker, P.1    Kravchenko, S.A.2    Sotskov, Y.N.3
  • 3
    • 0016080006 scopus 로고
    • Scheduling independent tasks to reduce mean finishing time
    • J.L. Bruno, E.G. Coffman, Jr., R. Sethi, Scheduling independent tasks to reduce mean finishing time, Comm. ACM 17 (1974) 382-387.
    • (1974) Comm. ACM , vol.17 , pp. 382-387
    • Bruno, J.L.1    Coffman E.G., Jr.2    Sethi, R.3
  • 5
    • 0000474126 scopus 로고
    • Minimizing total tardiness on one machine is NP-hard
    • J. Du, J.Y.-T. Leung, Minimizing total tardiness on one machine is NP-hard, Math. Oper. Res. 15 (1990) 483-495.
    • (1990) Math. Oper. Res. , vol.15 , pp. 483-495
    • Du, J.1    Leung, J.Y.-T.2
  • 6
    • 0037513523 scopus 로고
    • Minimizing the number of late jobs with release time constraints
    • J. Du, J.Y.-T. Leung, C.S. Wong, Minimizing the number of late jobs with release time constraints, J. Combin. Math. Combin. Comput. 11 (1992) 97-107.
    • (1992) J. Combin. Math. Combin. Comput. , vol.11 , pp. 97-107
    • Du, J.1    Leung, J.Y.-T.2    Wong, C.S.3
  • 7
    • 0025505801 scopus 로고
    • Minimizing mean flow time with release time constraints
    • J. Du, J.Y.-T. Leung, G.H. Young, Minimizing mean flow time with release time constraints Theoret. Comput. Sci. 75 (1990) 347-355.
    • (1990) Theoret. Comput. Sci. , vol.75 , pp. 347-355
    • Du, J.1    Leung, J.Y.-T.2    Young, G.H.3
  • 8
    • 0026170095 scopus 로고
    • Scheduling chain-structured tasks to minimize makespan and mean flow time
    • J. Du, J.Y.-T. Leung, G.H. Young, Scheduling chain-structured tasks to minimize makespan and mean flow time, Inform. Comput. 92 (1991) 219-236.
    • (1991) Inform. Comput. , vol.92 , pp. 219-236
    • Du, J.1    Leung, J.Y.-T.2    Young, G.H.3
  • 9
    • 0003055268 scopus 로고
    • Preemptive scheduling of uniform machines by ordinary network flow techniques
    • A. Federgruen, Groenevelt, Preemptive scheduling of uniform machines by ordinary network flow techniques, Management Sci. 32 (1986) 431-349.
    • (1986) Management Sci. , vol.32 , pp. 431-1349
    • Federgruen, A.1    Groenevelt2
  • 10
    • 84976822151 scopus 로고
    • Strong NP-completeness results: Motivation, examples and implications
    • M.R. Garey, D.S. Johnson, Strong NP-completeness results: motivation, examples and implications, J. ACM 25 (1978) 499-508.
    • (1978) J. ACM , vol.25 , pp. 499-508
    • Garey, M.R.1    Johnson, D.S.2
  • 12
    • 74849101820 scopus 로고
    • Optimization and approximation in deterministic sequencing and scheduling: A survey
    • R.L. Graham, E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Optimization and approximation in deterministic sequencing and scheduling: a survey, Ann. Discrete Math. 5 (1979) 287-326.
    • (1979) Ann. Discrete Math. , vol.5 , pp. 287-326
    • Graham, R.L.1    Lawler, E.L.2    Lenstra, J.K.3    Rinnooy Kan, A.H.G.4
  • 13
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R.E. Miller, J.W. Thatcher(Eds.), Plenum Press, New York
    • R.M. Karp, Reducibility among combinatorial problems, in: R.E. Miller, J.W. Thatcher(Eds.), Complexity of Computer Computations, Plenum Press, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 14
    • 85046528412 scopus 로고    scopus 로고
    • Minimizing the number of late jobs for the two-machine unit-time job-shop scheduling problem
    • submitted
    • S.A. Kravchenko, Minimizing the number of late jobs for the two-machine unit-time job-shop scheduling problem. Discrete Appl. Math., submitted.
    • Discrete Appl. Math.
    • Kravchenko, S.A.1
  • 15
    • 0041061422 scopus 로고    scopus 로고
    • A polynomial algorithm for a two-machine no-wait job-shop scheduling problem
    • to appear
    • S.A. Kravchenko, A polynomial algorithm for a two-machine no-wait job-shop scheduling problem, EJOR, to appear.
    • EJOR
    • Kravchenko, S.A.1
  • 16
    • 0024916622 scopus 로고
    • A pseudopolynomial algorithm for a two-machine no-wait job shop problem
    • W. Kubiak, A pseudopolynomial algorithm for a two-machine no-wait job shop problem, EJOR 43 (1989) 267-270.
    • (1989) EJOR , vol.43 , pp. 267-270
    • Kubiak, W.1
  • 18
    • 0030264824 scopus 로고    scopus 로고
    • A polynomial-time algorithm for total completion time minimization in two-machine job-shop with unit-time operations
    • W. Kubiak, V.G. Timkovsky, A polynomial-time algorithm for total completion time minimization in two-machine job-shop with unit-time operations EJOR 94 (1996) 310-320.
    • (1996) EJOR , vol.94 , pp. 310-320
    • Kubiak, W.1    Timkovsky, V.G.2
  • 19
    • 0002087256 scopus 로고
    • Preemptive scheduling of uniform machines subject to release dates
    • W.R. Pulleyblank (Ed.), Academic Press, New York
    • J. Labetoulle, E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Preemptive scheduling of uniform machines subject to release dates, in: W.R. Pulleyblank (Ed.), Progress in Combinatorial Optimization Academic Press, New York, 1984, pp. 245-261.
    • (1984) Progress in Combinatorial Optimization , pp. 245-261
    • Labetoulle, J.1    Lawler, E.L.2    Lenstra, J.K.3    Rinnooy Kan, A.H.G.4
  • 20
    • 77957077792 scopus 로고
    • A 'pseudopolynomial' algorithm for sequencing jobs to minimize total tardiness
    • E.L. Lawler, 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
  • 21
    • 0006998543 scopus 로고
    • Preemptive scheduling of precedence-constrainted jobs on parallel machines
    • M.A.H. Dempster, J.K. Lenstra, A.H.G. Rinnooy Kan (Eds.), Dordrecht
    • E.L. Lawler, Preemptive scheduling of precedence-constrainted jobs on parallel machines, in: M.A.H. Dempster, J.K. Lenstra, A.H.G. Rinnooy Kan (Eds.), Deterministic and Stochastic Scheduling Reidel, Dordrecht, 1982, pp. 101-123.
    • (1982) Deterministic and Stochastic Scheduling Reidel , pp. 101-123
    • Lawler, E.L.1
  • 22
    • 0007992513 scopus 로고
    • Recent developments in deterministic sequencing and scheduling: A survey
    • M.A.H. Dempster, J.K. Lenstra, A.H.G. Rinnooy Kan (Eds.), Reidel, Dordrecht
    • E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Recent developments in deterministic sequencing and scheduling: a survey, in: M.A.H. Dempster, J.K. Lenstra, A.H.G. Rinnooy Kan (Eds.), Deterministic and Stochastic Scheduling, Reidel, Dordrecht, 1982, pp. 35-73.
    • (1982) Deterministic and Stochastic Scheduling , pp. 35-73
    • Lawler, E.L.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3
  • 24
    • 0039874404 scopus 로고    scopus 로고
    • Private communication
    • J.K. Lenstra, Private communication
    • Lenstra, J.K.1
  • 25
    • 0000399511 scopus 로고
    • Computational complexity of discrete optimization problems
    • J.K. Lenstra, A.H.G. Rinnooy Kan, Computational complexity of discrete optimization problems, Ann. Discrete Math. 4 (1979) 121-140.
    • (1979) Ann. Discrete Math. , vol.4 , pp. 121-140
    • Lenstra, J.K.1    Rinnooy Kan, A.H.G.2
  • 27
    • 0020159813 scopus 로고
    • Preemptive scheduling with release times, deadlines and due dates
    • C.U. Martel, Preemptive scheduling with release times, deadlines and due dates, J. ACM 29 (1982) 812-829.
    • (1982) J. ACM , vol.29 , pp. 812-829
    • Martel, C.U.1
  • 28
    • 0002643827 scopus 로고
    • Scheduling with deadlines and loss functions
    • R. McNaughton, Scheduling with deadlines and loss functions. Management Sci. 6 (1959) 1-12.
    • (1959) Management Sci. , vol.6 , pp. 1-12
    • McNaughton, R.1
  • 29
    • 0014596508 scopus 로고
    • Optimal preemptive scheduling on two-processor systems
    • R.R. Muntz, E.G. Coffman Jr, Optimal preemptive scheduling on two-processor systems, IEEE Trans. Comput. C-18 (1969) 1014-1020.
    • (1969) IEEE Trans. Comput. , vol.C-18 , pp. 1014-1020
    • Muntz, R.R.1    Coffman E.G., Jr.2
  • 30
    • 0014766132 scopus 로고
    • Preemptive scheduling of real time tasks on multiprocessor systems
    • R.R. Muntz, E.G. Coffman Jr, Preemptive scheduling of real time tasks on multiprocessor systems, J. ACM 17 (1970) 324-338.
    • (1970) J. ACM , vol.17 , pp. 324-338
    • Muntz, R.R.1    Coffman E.G., Jr.2
  • 31
    • 0026204971 scopus 로고
    • On the complexity of shop scheduling problems with two or three jobs
    • Yu.N. Sotskov, On the complexity of shop scheduling problems with two or three jobs, EJOR 53 (1991) 326-336.
    • (1991) EJOR , vol.53 , pp. 326-336
    • Sotskov, Yu.N.1
  • 32
    • 0022680737 scopus 로고
    • Some no-wait jobs scheduling problems: Complexity results
    • C. Sriskandarajah, P. Ladet, Some no-wait jobs scheduling problems: complexity results. EJOR 24 (1986) 424-438.
    • (1986) EJOR , vol.24 , pp. 424-438
    • Sriskandarajah, C.1    Ladet, P.2
  • 35
    • 0022120737 scopus 로고
    • On the complexity of scheduling an arbitrary system
    • V.G. Timkovsky, On the complexity of scheduling an arbitrary system, Soviet J. Comput. System Sci. (5) (1885) 46-52.
    • (1885) Soviet J. Comput. System Sci. (5) , pp. 46-52
    • Timkovsky, V.G.1
  • 36
    • 0041021637 scopus 로고
    • An approximation for the cycle shop scheduling problem
    • in Russian
    • V.G. Timkovsky, An approximation for the cycle shop scheduling problem, Ekonomika i Matematicheskije Metodi 22 (1) (1986) 171-174 (in Russian).
    • (1986) Ekonomika i Matematicheskije Metodi , vol.22 , Issue.1 , pp. 171-174
    • Timkovsky, V.G.1
  • 37
    • 0040467377 scopus 로고
    • Technical Report. Department of Computer Science and Systems, McMaster University, Hamilton
    • V.G. Timkovsky, The complexity of unit-time job-shop scheduling, Technical Report. Department of Computer Science and Systems, McMaster University, Hamilton 1993.
    • (1993) The Complexity of Unit-time Job-shop Scheduling
    • Timkovsky, V.G.1
  • 38
    • 0005847198 scopus 로고    scopus 로고
    • A polynomial-time algorithm for the two-machine unit-time release-date job-shop schedule-length problem
    • V.G. Timkovsky, A polynomial-time algorithm for the two-machine unit-time release-date job-shop schedule-length problem, Discrete Appl. Math. 77 (1997) 185-200.
    • (1997) Discrete Appl. Math. , vol.77 , pp. 185-200
    • Timkovsky, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.