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Volumn 25, Issue 5, 1999, Pages 199-204

Half-integral linear programming relaxation for scheduling precedence-constrained jobs on a single machine

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; LINEAR PROGRAMMING; SCHEDULING;

EID: 0033358135     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(99)00056-5     Document Type: Article
Times cited : (71)

References (16)
  • 2
    • 85031585672 scopus 로고    scopus 로고
    • Precedence constrained scheduling to minimize weighted completion time on a single machine
    • to appear
    • C. Chekuri, R. Motwani, Precedence constrained scheduling to minimize weighted completion time on a single machine, Discrete Appl. Math., to appear.
    • Discrete Appl. Math.
    • Chekuri, C.1    Motwani, R.2
  • 4
    • 0024090156 scopus 로고
    • A new approach for the maximum flow problem
    • Goldberg A.V., Tarjan R.E. A new approach for the maximum flow problem. J. ACM. 35:1988;921-940.
    • (1988) J. ACM , vol.35 , pp. 921-940
    • Goldberg, A.V.1    Tarjan, R.E.2
  • 5
    • 74849101820 scopus 로고
    • Optimization and approximation in deterministic sequencing and scheduling: A survey
    • Graham R.L., Lawler E.L., Lenstra J.K., Rinnoy Kan A.H.G. 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    Rinnoy Kan, A.H.G.4
  • 6
    • 85031594713 scopus 로고    scopus 로고
    • Scheduling to minimize average completion time: off-line and on-line approximation algorithms
    • to appear
    • L.A. Hall, A.S. Schulz, D.B. Shmoys, J. Wein, Scheduling to minimize average completion time: off-line and on-line approximation algorithms, Math. Oper. Res., to appear.
    • Math. Oper. Res.
    • Hall, L.A.1    Schulz, A.S.2    Shmoys, D.B.3    Wein, J.4
  • 7
    • 0002555219 scopus 로고
    • Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality
    • Hochbaum D.S., Meggido N., Naor J., Tamir A. Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality. Math. Programming. 62:1993;69-83.
    • (1993) Math. Programming , vol.62 , pp. 69-83
    • Hochbaum, D.S.1    Meggido, N.2    Naor, J.3    Tamir, A.4
  • 8
    • 77951587888 scopus 로고
    • Sequencing jobs to minimize total weighted completion time subject to precedence constraints
    • Lawler E.L. Sequencing jobs to minimize total weighted completion time subject to precedence constraints. Ann. Discrete Math. 2:1978;75-90.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 75-90
    • Lawler, E.L.1
  • 10
    • 0042983555 scopus 로고
    • An algorithm for the single machine sequencing problem with precedence constraints
    • Potts C.N. An algorithm for the single machine sequencing problem with precedence constraints. Math. Programming Stud. 13:1980;78-87.
    • (1980) Math. Programming Stud. , vol.13 , pp. 78-87
    • Potts, C.N.1
  • 11
    • 0001267667 scopus 로고
    • Structure of a simple scheduling polyhedron
    • Queyranne M. Structure of a simple scheduling polyhedron. Math. Programming. 58:1993;263-285.
    • (1993) Math. Programming , vol.58 , pp. 263-285
    • Queyranne, M.1
  • 13
    • 85031588195 scopus 로고    scopus 로고
    • private communication, June
    • A.S. Schulz, private communication, June 1997.
    • (1997)
    • Schulz, A.S.1
  • 16
    • 0343107232 scopus 로고
    • Formulating single machine scheduling problems with precedence constraints
    • in: J.J. Gabsewicz, J.F. Richard, L.A. Wolsey (Eds.) North-Holland, Amsterdam
    • L.A. Wolsey, Formulating single machine scheduling problems with precedence constraints, in: J.J. Gabsewicz, J.F. Richard, L.A. Wolsey (Eds.), Economic Decision Making: Games, Econometrics and Optimisation, Contributions in Honour of Jacques Dreze, North-Holland, Amsterdam, 1990, pp. 473-484.
    • (1990) Economic Decision Making: Games, Econometrics and Optimisation, Contributions in Honour of Jacques Dreze , pp. 473-484
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.