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Original Articles

A review of the static stochastic flow-shop scheduling problem

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Pages 1-31 | Published online: 18 Apr 2012

References

  • Allahverdi , A. 1995 . Two stage production scheduling with separated setup time and stochastic breakdowns . Journal of the Operations Research Society , 46 : 896 – 904 .
  • Allahverdi , A. 1996 . Two machine proportionate flow-shop scheduling with breakdowns to minimize maximum lateness . Computers Operation Research , 23 : 909 – 916 .
  • Allahverdi , A. 1997 . Scheduling in stochastic flow-shops with independant setup, processing and removal times . Computers Operation Research , 24 : 955 – 960 .
  • Allahverdi , A. 1999 . Stochastically minimizing total flowtime in flowshops with no waiting space . European Journal of Operational Research , 113 : 101 – 112 .
  • Allahverdi , A. and Mittenthal , J. 1994 . Two machine ordered flow-shop scheduling under random breakdowns . Mathematical and Computer Modeling , 20 : 9 – 17 .
  • Allahverdi , A. and Mittenthal , J. 1995 . Scheduling on a two machine flow-shop subject to random breakdowns with a makespan objective function . European Journal of Operational Research , 81 : 376 – 387 .
  • Allahverdi , A. and Mittenthal , J. 1998 . Dual criteria scheduling on a two machines flowshop subject to random breakdowns . International Transactions in Operational Research , 5 ( 4 ) : 317 – 324 .
  • Allahverdi , A. and Tatari , M. F. 1997 . Stochastic machine dominance in flowshops . Computers Industrial Engineering , 32 ( 4 ) : 735 – 741 .
  • Bagga , P. C. 1970 . n jobs, 2 machines sequencing problems with stochastic service times . Operation Research , 7 : 184 – 197 .
  • Bagga , P. C. 1970 . Sequencing with random service times . Technometrics , 12 : 327 – 334 .
  • Blazewicz , J. , Ecker , K. , Schmidt , G. and Weglarz , J. 1994 . Scheduling in Computer and Manufacturing systems , Springer-Verlag Edition
  • Brucker , P. 1995 . Scheduling Algorithms , Springer-Verlag Edition
  • Cunningham , A. A. and Dutta , S. K. 1973 . Scheduling jobs with exponentially distributed processing times on two machines of a flow-shop . Naval Research Logistics Quarterly , 16 : 69 – 81 .
  • Conway , R. W. , Maxwell , W. L. and Miller , L. W. 1967 . Theory of scheduling , Reading , Massachusetts : Addison-Wesley Publishing Company .
  • Dodin , B. 1996 . Determining the optimal sequences and the distributional properties of their completion times in stochastic flow-shops . Computers Operation Research , 23 ( 9 ) : 829 – 843 .
  • Frostig , E. and Adiri , I. 1985 . Three machine flow-shop stochastic scheduling to minimise distribution of schedule . Naval Research Logistics Quarterly , 32 : 179 – 183 .
  • Forst , F. G. 1981 . An anlysis of the two machine static stochastic flow-shop with linear completion time costs , Campaign : University of Illinois at Urbana . Ph. D. Dissertation
  • Forst , F. G. 1983 . Minimizing total expected costs in the two machine, stochastic flow shop . Operation Research Letters , 2 : 58 – 61 .
  • Forst , F. G. 1984 . A review of the static stochastic job sequencing litterature . Operation Research , 21 : 127 – 144 .
  • Foley , R. D. and Suresh , S. 1984 . Stochastically minimizing the makespan in flow-shops . Naval Research Logistics Quarterly , 31 : 551 – 557 .
  • Gourgand , M. , Grangeon , N. and Norre , S. 2000 . Performance evaluation and sequencing in stochastic flow-shops . 7th International Workshop on Project Management and Scheduling (PMS2000) . avril 17-19 2000 , Osnabrück , Germany. pp. 142 – 144 .
  • Gourgand , M. , Grangeon , N. and Norre , S. 2000 . Une contribution au problème d'ordonnancement dans un flow-shop stochastique . Troisième Congrès de la Société Française de Recherche Opérationnelle et d'Aide à la Décision (ROADEF'2000) . janvier 26-28 2000 , Nantes .
  • Gourgand , M. , Grangeon , N. and Norre , S. 2001 . Markovian analysis for performance evaluation in two machine stochastic flow shop . International Conference on Industrial Engineering and Production Management (IEPM 01) . août 20-23 2001 , Quebec city .
  • Graham , R. H. , Lawler , E. L. , Lenstra , J. K. and Rinnooy Kan , A. H. G. 1979 . Optimization and approximation in deterministic sequencing and scheduling theory: a survey . Ann. Discrete Math. , 6 : 287 – 326 .
  • GOTHA . 1993 . Les problèmes d'ordonnancement . RAIRO - Recherche opérationnelle / Operation research , 27 ( 1 ) : 77 – 150 .
  • Jia , C. 1998 . Minimizing variation in stochastic flow-shop . Operation Research Letters , 23 : 109 – 111 .
  • Johnson , S. M. 1954 . Optimal two and three stage production schedules with setup times included . Naval Research Logistics Quartely , 1 : 61 – 68 .
  • Kamburowski , J. 1999 . Stochastically minimizing the makespan in two-machine flowshops without blocking . European Journal of Operational Research , 112 : 304 – 309 .
  • Kamburowski , J. 2000 . On three-machine flow-shops with random job processing times . European Journal of Operational Research , 125 : 440 – 449 .
  • Kouvelis , P. , Daniels , R. and Vairaktarakis , G. 2000 . Robust scheduling of a two machine flow-shop with uncertain processing times . IIE Transactions , 32 : 421 – 432 .
  • Ku , P. S. and Niu , S. C. 1986 . On Johnson's two machine flow-shop with random processing times . Operation Research , 34 : 130 – 136 .
  • Lopez , P. and Esquirol , P. 1999 . L'ordonnancement . Economica ,
  • Makino , T. 1965 . On a scheduling problem . Journal of the Operations Research Society of Japan , 8 : 32 – 44 .
  • Mittal , B. S. and Bagga , P. C. 1977 . A priority problem in sequencing with stochastic services times . Operation Research , 14 : 19 – 28 .
  • Pinedo , M. 1982 . Minimizing the expected makespan in stochastic flow-shops . Operation Research , 30 : 148 – 162 .
  • Pinedo , M. 1995 . Scheduling : Theory, Algorithms and Systems , Englewood Cliffs , NJ : Prentice-Hall .
  • Prasad , V. R. 1981 . nx2 flow-shop sequencing problem with random processing times . Operation Research , 18 : 1 – 14 .
  • Rinnooy Kan , A. H. G. 1976 . Machine scheduling problem : classification, complexity and computations , The Hague , , Netherlands : Martinus Nijhoff .
  • Rodammer , F. A. and Preston White , K. 1988 . A recent survey of production scheduling . IEEE transaction on systems, man and cybernetics , 6 ( 18 )
  • Sule , D. R. and Huang , K. Y. 1983 . Sequencing on two and three machines with setup, processing and removal times separated . International Journal of Production Research , 21 ( 5 ) : 723 – 732 .
  • Smith , M. L. , Panwalkar , S. S. and Dudek , R. A. 1975 . Flowshop sequencing problem with ordered processing times matrices . Management Science , 21 : 544 – 549 .
  • Shaked , M. and Shanthikumar , J. G. 1994 . Stochastic Orders and their Applications , Boston : Academic Press .
  • Talwar , T. T. 1967 . A note on sequencing problems with uncertain job times . Journal of the Operations Research Society of Japan , 9 : 93 – 97 .
  • Weber , R. R. 1979 . The interchangeability of tandem./M/1 queues in series . Journal of Applied Probability , 16 : 690 – 695 .
  • Weiss , G. 1982 . “ Multiserver stochastic scheduling ” . In Deterministic and stochastic scheduling , Edited by: Dempster , M. A. H. , Lenstra , J. K. and Rinnooy Kan , A. H. G. 157 – 179 . Dordrecht : D.Reidel .
  • Wang , K. S. , Hsia , H. W. and Zhuang , Z. D. 1993 . An intelligent decision system for a modern manufacturing system . International Journal of Computer Integrated Manufacturing , 5 ( 6 ) : 281 – 292 .
  • Widmer , M. 1990 . Modèles mathématiques pour une gestion efficace des ateliers flexibles , Ecole Polytechnique Fédérale de Lausanne . Doctorat en sciences techniques
  • Yoshida , T. and Hitomi , K. 1979 . Optimal two-stage production scheduling with setup times included . AIIE Transactions , 11 ( 3 ) : 261 – 263 .

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