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On Reworks in a Serial Process with Flexible Windows of Time

Author

Listed:
  • Lonnie Turpin

    (McNeese State University)

  • Barron Brown

    (Louisiana Tech University)

Abstract

Consider the planning of a multi-task serial production process where the prior task yields are continuous values determined from previous production data. Applying these values in the planning stage for the processing of discrete units does not necessarily guarantee a discrete input-output value for each task, thereby resulting in an approximate solution. Supposing the priors are conservative estimates, this research provides two simple models to determine these input–output values by discretizing the units at each task, thereby establishing a lower bound on the discrete output quantity (throughput). Both single- and multi-period models are presented where the multi-period model allows for reworks from previous time periods.

Suggested Citation

  • Lonnie Turpin & Barron Brown, 2021. "On Reworks in a Serial Process with Flexible Windows of Time," SN Operations Research Forum, Springer, vol. 2(2), pages 1-13, June.
  • Handle: RePEc:spr:snopef:v:2:y:2021:i:2:d:10.1007_s43069-021-00066-z
    DOI: 10.1007/s43069-021-00066-z
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    References listed on IDEAS

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    1. Turpin, Lonnie, 2018. "A note on understanding cycle time," International Journal of Production Economics, Elsevier, vol. 205(C), pages 113-117.
    2. Liu, John J. & Yang, Ping, 1996. "Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs," European Journal of Operational Research, Elsevier, vol. 91(3), pages 517-527, June.
    3. Schadschneider, Andreas, 2000. "Statistical physics of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 101-120.
    4. Morton Klein, 1966. "Markovian Decision Models for Reject Allowance Problems," Management Science, INFORMS, vol. 12(5), pages 349-358, January.
    5. John D. C. Little, 1961. "A Proof for the Queuing Formula: L = (lambda) W," Operations Research, INFORMS, vol. 9(3), pages 383-387, June.
    6. M. Collins & L. Cooper & R. Helgason & J. Kennington & L. LeBlanc, 1978. "Solving the Pipe Network Analysis Problem Using Optimization Techniques," Management Science, INFORMS, vol. 24(7), pages 747-760, March.
    7. Hau L. Lee & Candace Arai Yano, 1988. "Production Control in Multistage Systems with Variable Yield Losses," Operations Research, INFORMS, vol. 36(2), pages 269-278, April.
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