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Sequencing n Jobs on Two Machines with Arbitrary Time Lags

Author

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  • L. G. Mitten

    (Northwestern University)

Abstract

Each of n jobs must be run first on machine I and then on machine I. Running times for each job on each machine are given. Also specified are arbitrary time lags which prescribe that a job may not be started (completed) on machine II until at least a certain time has elapsed since starting (completing) the job on machine I. A rule is given for determining the sequence in which jobs are to be run on the machines--using the same sequence for both machines--in order to minimize the time between the start of production of the first job on machine I and the completion of production of the last job on machine II.

Suggested Citation

  • L. G. Mitten, 1959. "Sequencing n Jobs on Two Machines with Arbitrary Time Lags," Management Science, INFORMS, vol. 5(3), pages 293-298, April.
    • Handle: RePEc:inm:ormnsc:v:5:y:1959:i:3:p:293-298
    DOI: 10.1287/mnsc.5.3.293
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    Cited by:

    1. Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2020. "Coupled task scheduling with exact delays: Literature review and models," European Journal of Operational Research, Elsevier, vol. 282(1), pages 19-39.
    2. Liaee, Mohammad Mehdi & Emmons, Hamilton, 1997. "Scheduling families of jobs with setup times," International Journal of Production Economics, Elsevier, vol. 51(3), pages 165-176, September.
    3. Bart, H. & Kroon, L. G., 1996. "Variants of the Two Machine Flow Shop Problem connected with factorization of matrix functions," European Journal of Operational Research, Elsevier, vol. 91(1), pages 144-159, May.
    4. Fondrevelle, J. & Oulamara, A. & Portmann, M.-C., 2008. "Permutation flowshop scheduling problems with time lags to minimize the weighted sum of machine completion times," International Journal of Production Economics, Elsevier, vol. 112(1), pages 168-176, March.
    5. Kim, J-S. & Kang, S-H. & Lee, S. M., 1997. "Transfer batch scheduling for a two-stage flowshop with identical parallel machines at each stage," Omega, Elsevier, vol. 25(5), pages 547-555, October.
    6. Karim Amrouche & Mourad Boudhar & Mohamed Bendraouche & Farouk Yalaoui, 2017. "Chain-reentrant shop with an exact time lag: new results," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 285-295, January.

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