메뉴 건너뛰기




Volumn 54, Issue 5, 2007, Pages 530-543

Interval scheduling: A survey

Author keywords

Analysis of algorithms; Computational complexity: Exact algorithms; Deterministic: Interval scheduling; Production scheduling; Sequencing

Indexed keywords

ANALYSIS OF ALGORITHMS; SEQUENCING;

EID: 34547667129     PISSN: 0894069X     EISSN: 15206750     Source Type: Journal    
DOI: 10.1002/nav.20231     Document Type: Review
Times cited : (206)

References (71)
  • 2
    • 34547694048 scopus 로고
    • Operational operations research at the mathematical centre
    • J.M. Anthonisse and J.K. Lenstra, Operational operations research at the mathematical centre, Eur J Oper Res 15(1984), 293-296.
    • (1984) Eur J Oper Res , vol.15 , pp. 293-296
    • Anthonisse, J.M.1    Lenstra, J.K.2
  • 3
    • 0023500313 scopus 로고
    • Scheduling with fixed start and end times
    • E.M. Arkin and E.B. Silverberg, Scheduling with fixed start and end times, Discrete Appl Math 18 (1987), 1-8.
    • (1987) Discrete Appl Math , vol.18 , pp. 1-8
    • Arkin, E.M.1    Silverberg, E.B.2
  • 4
    • 0001334002 scopus 로고    scopus 로고
    • A unified approach to approximating resource allocation and scheduling
    • A. Bar-Noy, R. Bar-Yehuda, A. Freund, J.S. Naor, and B. Schieber, A unified approach to approximating resource allocation and scheduling, J ACM 48 (2005), 1069-1090.
    • (2005) J ACM , vol.48 , pp. 1069-1090
    • Bar-Noy, A.1    Bar-Yehuda, R.2    Freund, A.3    Naor, J.S.4    Schieber, B.5
  • 6
    • 0036253499 scopus 로고    scopus 로고
    • Approximating the throughput of multiple machines in real-time scheduling
    • A. Bar-Noy, S. Guha, J.S. Naor, and B. Schieber, Approximating the throughput of multiple machines in real-time scheduling, SIAM J Comput 31 (2001), 331-352.
    • (2001) SIAM J Comput , vol.31 , pp. 331-352
    • Bar-Noy, A.1    Guha, S.2    Naor, J.S.3    Schieber, B.4
  • 7
    • 0032118272 scopus 로고    scopus 로고
    • A dynamic programming based algorithm for the crew scheduling problem
    • J.E. Beasley and B. Cao, A dynamic programming based algorithm for the crew scheduling problem, Comput Oper Res 25 (1998), 567-582.
    • (1998) Comput Oper Res , vol.25 , pp. 567-582
    • Beasley, J.E.1    Cao, B.2
  • 8
    • 0000332042 scopus 로고    scopus 로고
    • Multi-phase algorithms for throughput maximization for real-time scheduling
    • P. Berman and B. DasGupta, Multi-phase algorithms for throughput maximization for real-time scheduling, Journal of Combinatorial Optimization 4 (2000), 307-323.
    • (2000) Journal of Combinatorial Optimization , vol.4 , pp. 307-323
    • Berman, P.1    DasGupta, B.2
  • 9
    • 35248846422 scopus 로고    scopus 로고
    • Algorithmic aspects of bandwidth trading
    • Proceedings of the 30th International Conference on Automata, Languages, and Programming, Eindhoven, The Netherlands
    • R. Bhatia, J. Chuzhoy, A. Freund, and J. Naor, "Algorithmic aspects of bandwidth trading," In: Proceedings of the 30th International Conference on Automata, Languages, and Programming, Eindhoven, The Netherlands, Lecture Notes Comput Sci, 2719, 2003, pp. 751-766.
    • (2003) Lecture Notes Comput Sci , vol.2719 , pp. 751-766
    • Bhatia, R.1    Chuzhoy, J.2    Freund, A.3    Naor, J.4
  • 10
    • 0000038784 scopus 로고
    • Precoloring extensions. I. Interval graphs
    • M. Biró, M. Hujter, and Zs. Tuza, Precoloring extensions. I. Interval graphs, Discrete Math 100 (1992), 267-279.
    • (1992) Discrete Math , vol.100 , pp. 267-279
    • Biró, M.1    Hujter, M.2    Tuza, Z.3
  • 13
    • 0011350425 scopus 로고    scopus 로고
    • Interval scheduling on identical machines
    • K.I. Bouzina and H. Emmons, Interval scheduling on identical machines, J Global Optim 9 (1996), 379-393.
    • (1996) J Global Optim , vol.9 , pp. 379-393
    • Bouzina, K.I.1    Emmons, H.2
  • 14
    • 0742303464 scopus 로고    scopus 로고
    • Optimal replacement is NP-hard for nonstandard caches
    • M. Brehob, S. Wagner, E. Torng, and R. Enbody, Optimal replacement is NP-hard for nonstandard caches, IEEE Trans Comput 53 (2004), 73-76.
    • (2004) IEEE Trans Comput , vol.53 , pp. 73-76
    • Brehob, M.1    Wagner, S.2    Torng, E.3    Enbody, R.4
  • 15
    • 0028746924 scopus 로고
    • The k-track assignment problem
    • P. Brucker and L. Nordmann, The k-track assignment problem, Computing 54 (1994), 97-122.
    • (1994) Computing , vol.54 , pp. 97-122
    • Brucker, P.1    Nordmann, L.2
  • 16
    • 0012328903 scopus 로고    scopus 로고
    • Bounding the power of preemption in randomized scheduling
    • R. Canetti and S. Irani, Bounding the power of preemption in randomized scheduling, SIAM J Comput 27 (1998), 993-1015.
    • (1998) SIAM J Comput , vol.27 , pp. 993-1015
    • Canetti, R.1    Irani, S.2
  • 17
  • 18
    • 0005284309 scopus 로고
    • When is the classroom assignment problem hard?
    • M.W. Carter and C.A. Tovey, When is the classroom assignment problem hard?, Oper Res 40 (1992), S28-S39.
    • (1992) Oper Res , vol.40
    • Carter, M.W.1    Tovey, C.A.2
  • 19
    • 15944423906 scopus 로고    scopus 로고
    • More reliable protein NMR peak assignment via improved 2-interval scheduling
    • Z. Chen, G. Lin, R. Rizzi, J. Wen, D. Xu, Y. Xu, and T. Jiang, More reliable protein NMR peak assignment via improved 2-interval scheduling, J Comput Biol 12 (2005), 129-146.
    • (2005) J Comput Biol , vol.12 , pp. 129-146
    • Chen, Z.1    Lin, G.2    Rizzi, R.3    Wen, J.4    Xu, D.5    Xu, Y.6    Jiang, T.7
  • 22
    • 33847180847 scopus 로고    scopus 로고
    • Approximation algorithms for the job interval selection problem and related scheduling problems
    • J. Chuzhoy, R. Ostrovsky, and Y. Rabani, Approximation algorithms for the job interval selection problem and related scheduling problems, Math of OR 31 (2006), 730-738.
    • (2006) Math of OR , vol.31 , pp. 730-738
    • Chuzhoy, J.1    Ostrovsky, R.2    Rabani, Y.3
  • 24
    • 0000782254 scopus 로고
    • Minimizing the number of tankers to meet a fixed schedule
    • G.B. Dantzig and D.R. Fulkerson, Minimizing the number of tankers to meet a fixed schedule, Nav Res Logist Q 1 (1954), 217-222.
    • (1954) Nav Res Logist Q , vol.1 , pp. 217-222
    • Dantzig, G.B.1    Fulkerson, D.R.2
  • 25
    • 0020543519 scopus 로고
    • Parallel scheduling algorithms
    • E. Dekel and S. Sahni, Parallel scheduling algorithms, Oper Res 31 (1983), 24-19.
    • (1983) Oper Res , vol.31 , pp. 24-19
    • Dekel, E.1    Sahni, S.2
  • 26
    • 0012032772 scopus 로고
    • Fixed job scheduling with two types of processors
    • V.R. Dondeti and H. Emmons, Fixed job scheduling with two types of processors, Oper Res 40 (1992), S76-S85.
    • (1992) Oper Res , vol.40
    • Dondeti, V.R.1    Emmons, H.2
  • 27
    • 0027906635 scopus 로고
    • Algorithms for preemptive scheduling of different classes of processors to do jobs with fixed times
    • V.R. Dondeti and H. Emmons, Algorithms for preemptive scheduling of different classes of processors to do jobs with fixed times, Eur J Oper Res 70 (1993), 316-326.
    • (1993) Eur J Oper Res , vol.70 , pp. 316-326
    • Dondeti, V.R.1    Emmons, H.2
  • 28
    • 0037219868 scopus 로고    scopus 로고
    • Interval selection: Applications, algorithms, and lower bounds
    • T. Erlebach and F.C.R. Spieksma, Interval selection: applications, algorithms, and lower bounds, J Algorithm 46 (2003), 27-53.
    • (2003) J Algorithm , vol.46 , pp. 27-53
    • Erlebach, T.1    Spieksma, F.C.R.2
  • 29
    • 0347653511 scopus 로고    scopus 로고
    • A greedy on-line algorithm for the k-track assignment problem
    • U. Faigle, W. Kern, and W.M. Nawijn, A greedy on-line algorithm for the k-track assignment problem, J Algorithm 31 (1999), 196-210.
    • (1999) J Algorithm , vol.31 , pp. 196-210
    • Faigle, U.1    Kern, W.2    Nawijn, W.M.3
  • 30
    • 0002419537 scopus 로고
    • Note on scheduling intervals on-line
    • U. Faigle and W.M. Nawijn, Note on scheduling intervals on-line, Discrete Appl Math 58 (1995), 13-17.
    • (1995) Discrete Appl Math , vol.58 , pp. 13-17
    • Faigle, U.1    Nawijn, W.M.2
  • 31
    • 0036905499 scopus 로고    scopus 로고
    • A branch-and-price algorithm for a hierarchical crew scheduling problem
    • D.B.C Faneyte, F.C.R. Spieksma, and G.J. Woeginger, A branch-and-price algorithm for a hierarchical crew scheduling problem, Nav Res Logist 49 (2001), 743-759.
    • (2001) Nav Res Logist , vol.49 , pp. 743-759
    • Faneyte, D.B.C.1    Spieksma, F.C.R.2    Woeginger, G.J.3
  • 32
    • 0023455954 scopus 로고
    • The fixed job schedule problem with spread-time constraints
    • M. Fischetti, S. Martello, and P. Toth, The fixed job schedule problem with spread-time constraints, Oper Res 35 (1987), 849-858.
    • (1987) Oper Res , vol.35 , pp. 849-858
    • Fischetti, M.1    Martello, S.2    Toth, P.3
  • 33
    • 0024663946 scopus 로고
    • The fixed job schedule problem with working-time constraints
    • M. Fischetti, S. Martello, and P. Toth, The fixed job schedule problem with working-time constraints, Oper Res 37 (1989), 395-403.
    • (1989) Oper Res , vol.37 , pp. 395-403
    • Fischetti, M.1    Martello, S.2    Toth, P.3
  • 34
    • 0012266595 scopus 로고
    • Approximation algorithms for fixed job schedule problems
    • M. Fischetti, S. Martello, and P. Toth, Approximation algorithms for fixed job schedule problems, Oper Res 40 (1992), S96-S108.
    • (1992) Oper Res , vol.40
    • Fischetti, M.1    Martello, S.2    Toth, P.3
  • 36
    • 0000319839 scopus 로고
    • Scheduling jobs within time windows on identical parallel machines: New models and algorithms
    • V. Gabrel, Scheduling jobs within time windows on identical parallel machines: New models and algorithms, Eur J Oper Res 83 (1995), 320-329.
    • (1995) Eur J Oper Res , vol.83 , pp. 320-329
    • Gabrel, V.1
  • 39
    • 0017909297 scopus 로고
    • Minimal resources for fixed and variable job schedules
    • I. Gertsbakh and H.I. Stern, Minimal resources for fixed and variable job schedules, Oper Res 26 (1978), 68-85.
    • (1978) Oper Res , vol.26 , pp. 68-85
    • Gertsbakh, I.1    Stern, H.I.2
  • 41
    • 0001897120 scopus 로고
    • Logistics of production and inventory
    • S.C. Graves, A.H.G. Rinnooy Kan, and R.H. Zipkin Editors, North-Holland, Amsterdam
    • S.C. Graves, A.H.G. Rinnooy Kan, and R.H. Zipkin (Editors), Logistics of production and inventory, in Handbooks in Operations Research and Management Science, Volume 4, North-Holland, Amsterdam, 1993.
    • (1993) Handbooks in Operations Research and Management Science , vol.4
  • 42
    • 0018547323 scopus 로고
    • An optimal solution for the channel-assignment problem
    • U.I. Gupta, D.T. Lee, and J.Y.-T. Leung, An optimal solution for the channel-assignment problem, IEEE Trans Comput C-28 (1979), 807-810.
    • (1979) IEEE Trans Comput , vol.C-28 , pp. 807-810
    • Gupta, U.I.1    Lee, D.T.2    Leung, J.Y.-T.3
  • 43
    • 0000113798 scopus 로고    scopus 로고
    • Online scheduling with hard deadlines
    • S.A. Goldman, J. Parwatikar, and S. Suri, Online scheduling with hard deadlines, J Algorithm 34 (2000), 370-389.
    • (2000) J Algorithm , vol.34 , pp. 370-389
    • Goldman, S.A.1    Parwatikar, J.2    Suri, S.3
  • 44
    • 0035019837 scopus 로고    scopus 로고
    • Scheduling with fixed delivery dates
    • N.G. Hall, M. Lesaoana, and C.N. Potts, Scheduling with fixed delivery dates, Oper Res 49 (2001), 134-144.
    • (2001) Oper Res , vol.49 , pp. 134-144
    • Hall, N.G.1    Lesaoana, M.2    Potts, C.N.3
  • 47
    • 0142156591 scopus 로고    scopus 로고
    • Cost constrained fixed job scheduling
    • Proceedings of the eighth Italian Conference on Theoretical Computer Science, Bertinoro, Italy
    • Q. Huang and E. Lloyd, "Cost constrained fixed job scheduling," In: Proceedings of the eighth Italian Conference on Theoretical Computer Science, Bertinoro, Italy, Lecture Notes Computer Sci 2841 (2003), 111-124.
    • (2003) Lecture Notes Computer Sci , vol.2841 , pp. 111-124
    • Huang, Q.1    Lloyd, E.2
  • 49
    • 0028378031 scopus 로고
    • An approximation algorithm for the license and shift class design problem
    • K. Jansen, An approximation algorithm for the license and shift class design problem, Eur J Oper Res 73 (1994), 127-131.
    • (1994) Eur J Oper Res , vol.73 , pp. 127-131
    • Jansen, K.1
  • 50
    • 0346045910 scopus 로고    scopus 로고
    • Approximation results for the optimal cost chromatic partition problem
    • K. Jansen, Approximation results for the optimal cost chromatic partition problem, J Algorithm 34 (2000), 54-89.
    • (2000) J Algorithm , vol.34 , pp. 54-89
    • Jansen, K.1
  • 51
    • 0242360519 scopus 로고
    • On the complexity of scheduling tasks with discrete starting times
    • J.M. Keil, On the complexity of scheduling tasks with discrete starting times, Oper Res Lett 12 (1992), 293-295.
    • (1992) Oper Res Lett , vol.12 , pp. 293-295
    • Keil, J.M.1
  • 52
    • 0026417177 scopus 로고
    • On the computational complexity of (maximum) class scheduling
    • A.W.J. Kolen and L.G. Kroon, On the computational complexity of (maximum) class scheduling, Eur J Oper Res 54 (1991), 23-38.
    • (1991) Eur J Oper Res , vol.54 , pp. 23-38
    • Kolen, A.W.J.1    Kroon, L.G.2
  • 53
    • 0027911621 scopus 로고
    • On the computational complexity of (maximum) shift scheduling
    • A.W.J. Kolen and L.G. Kroon, On the computational complexity of (maximum) shift scheduling, Eur J Oper Res 64 (1993), 138-151.
    • (1993) Eur J Oper Res , vol.64 , pp. 138-151
    • Kolen, A.W.J.1    Kroon, L.G.2
  • 54
    • 0028681919 scopus 로고
    • An analysis of shift class design problems
    • A.W.J. Kolen and L.G. Kroon, An analysis of shift class design problems, Eur J Oper Res 79 (1994), 471-430.
    • (1994) Eur J Oper Res , vol.79 , pp. 471-430
    • Kolen, A.W.J.1    Kroon, L.G.2
  • 55
    • 0001873974 scopus 로고
    • Combinatorics in operations research
    • R.L. Graham, M. Grötschel, and L. Lovász Editors, Amsterdam, North-Holland
    • A.W.J. Kolen and J.K. Lenstra, "Combinatorics in operations research," Handbook of Combinatorics, R.L. Graham, M. Grötschel, and L. Lovász (Editors), Amsterdam, North-Holland, 1995, pp. 1875-1910.
    • (1995) Handbook of Combinatorics , pp. 1875-1910
    • Kolen, A.W.J.1    Lenstra, J.K.2
  • 56
    • 0029637634 scopus 로고
    • Exact and approximation algorithms for the operational fixed interval scheduling problem
    • L.G. Kroon, M. Salomon, and L. van Wassenhove, Exact and approximation algorithms for the operational fixed interval scheduling problem, Eur J Oper Res 82 (1995), 190-205.
    • (1995) Eur J Oper Res , vol.82 , pp. 190-205
    • Kroon, L.G.1    Salomon, M.2    van Wassenhove, L.3
  • 57
    • 0031187695 scopus 로고    scopus 로고
    • Exact and approximation algorithms for the tactical fixed interval scheduling problem
    • L.G. Kroon, M. Salomon, and L. van Wassenhove, Exact and approximation algorithms for the tactical fixed interval scheduling problem, Oper Res 45 (1997), 624-638.
    • (1997) Oper Res , vol.45 , pp. 624-638
    • Kroon, L.G.1    Salomon, M.2    van Wassenhove, L.3
  • 58
    • 84896784966 scopus 로고    scopus 로고
    • The optimal cost chromatic partition problem for trees and interval graphs
    • Proceedings of the 22nd International Workshop on Graph-Theoretic Concepts in Computer Science, Como, Italy
    • L.G. Kroon, A. Sen, H. Deng, and A. Roy, "The optimal cost chromatic partition problem for trees and interval graphs," In: Proceedings of the 22nd International Workshop on Graph-Theoretic Concepts in Computer Science, Como, Italy, Lecture Notes Comput Sci 1197 (1996), 279-292.
    • (1996) Lecture Notes Comput Sci , vol.1197 , pp. 279-292
    • Kroon, L.G.1    Sen, A.2    Deng, H.3    Roy, A.4
  • 59
    • 84958964595 scopus 로고    scopus 로고
    • Approximating circular arc colouring and bandwidth allocation in all-optical ring networks
    • Proceedings of the first APPROX Conference, Springer, Heidelberg
    • V. Kumar, "Approximating circular arc colouring and bandwidth allocation in all-optical ring networks," in Proceedings of the first APPROX Conference, Lecture Notes Comput Sci, Volume 1444, Springer, Heidelberg, 1998, pp. 147-158.
    • (1998) Lecture Notes Comput Sci , vol.1444 , pp. 147-158
    • Kumar, V.1
  • 61
    • 0020495059 scopus 로고
    • A heuristic approach to the bus driver scheduling problem
    • S. Martello and P. Toth, A heuristic approach to the bus driver scheduling problem, Eur J Oper Res 24 (1986), 106-117.
    • (1986) Eur J Oper Res , vol.24 , pp. 106-117
    • Martello, S.1    Toth, P.2
  • 62
    • 0033324669 scopus 로고    scopus 로고
    • A set partitioning approach to the crew scheduling problem
    • A. Mingozzi, M.A. Boschetti, S. Ricciardelli, and L. Bianco, A set partitioning approach to the crew scheduling problem, Oper Res 47 (1999), 873-888.
    • (1999) Oper Res , vol.47 , pp. 873-888
    • Mingozzi, A.1    Boschetti, M.A.2    Ricciardelli, S.3    Bianco, L.4
  • 63
    • 3042829826 scopus 로고    scopus 로고
    • An improved randomized online algorithm for a weighted interval selection problem
    • H. Miyazawa and T. Erlebach, An improved randomized online algorithm for a weighted interval selection problem, J Scheduling 7 (2004), 293-311.
    • (2004) J Scheduling , vol.7 , pp. 293-311
    • Miyazawa, H.1    Erlebach, T.2
  • 64
    • 0242265804 scopus 로고
    • Complexity results for scheduling tasks with discrete starting times
    • K. Nakajima and S.L. Hakimi, Complexity results for scheduling tasks with discrete starting times, J Algorithm 3 (1982), 344-361.
    • (1982) J Algorithm , vol.3 , pp. 344-361
    • Nakajima, K.1    Hakimi, S.L.2
  • 65
    • 34547703558 scopus 로고
    • Complexity results for scheduling tasks in fixed intervals on two types of machines
    • K. Nakajima, S.L. Hakimi, and J.K. Lenstra, Complexity results for scheduling tasks in fixed intervals on two types of machines, SIAM J Comput 11 (1982), 512-520.
    • (1982) SIAM J Comput , vol.11 , pp. 512-520
    • Nakajima, K.1    Hakimi, S.L.2    Lenstra, J.K.3
  • 66
    • 34547694093 scopus 로고    scopus 로고
    • C.H. Papadimitriou, Private communication to J.K. Lenstra, April 25, 1982.
    • C.H. Papadimitriou, Private communication to J.K. Lenstra, April 25, 1982.
  • 67
    • 0032058271 scopus 로고    scopus 로고
    • Randomized online interval scheduling
    • S.S. Seiden, Randomized online interval scheduling, Oper Res Lett 22 (1998), 171-177.
    • (1998) Oper Res Lett , vol.22 , pp. 171-177
    • Seiden, S.S.1
  • 68
    • 84958976022 scopus 로고    scopus 로고
    • On-line scheduling - a survey
    • Online Algorithms: The state of the art, A. Fiat and G.J. Woeginger Editors, Springer, Heidelberg
    • J. Sgall, "On-line scheduling - a survey," Online Algorithms: The state of the art, Lecture Notes Comput Sci, Volume 1442, A. Fiat and G.J. Woeginger (Editors), Springer, Heidelberg, 1998, pp. 196-231.
    • (1998) Lecture Notes Comput Sci , vol.1442 , pp. 196-231
    • Sgall, J.1
  • 69
    • 0000321137 scopus 로고    scopus 로고
    • On the approximability of an interval scheduling problem
    • F.C.R. Spieksma, On the approximability of an interval scheduling problem, J Scheduling 2 (1999), 215-227.
    • (1999) J Scheduling , vol.2 , pp. 215-227
    • Spieksma, F.C.R.1
  • 71
    • 0028485488 scopus 로고
    • On-line scheduling of jobs with fixed start and end times
    • G.J. Woeginger, On-line scheduling of jobs with fixed start and end times, Theor Comput Sei 130 (1994), 5-16.
    • (1994) Theor Comput Sei , vol.130 , pp. 5-16
    • Woeginger, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.