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Note: The economic manufacturing lot‐sizing problem with imperfect production processes: Bounds and optimal solutions

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  • M. Hariga
  • M. Ben‐Daya

Abstract

In this paper, we consider the economic production quantity problem in the presence of imperfect processes. In the literature, the time to shift from the in‐control state to the out‐of‐control state is assumed to be exponentially distributed. In this study, we consider general time to shift distributions and provide distribution‐based and distribution‐free bounds on the optimal cost. For the exponential case, we compare the optimal solutions to approximate solutions proposed in the literature. A numerical example is used to illustrate the analysis presented and to conduct a sensitivity analysis in order to see the effect of the input parameters on the various solutions to the problem. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 423–433, 1998

Suggested Citation

  • M. Hariga & M. Ben‐Daya, 1998. "Note: The economic manufacturing lot‐sizing problem with imperfect production processes: Bounds and optimal solutions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(4), pages 423-433, June.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:4:p:423-433
    DOI: 10.1002/(SICI)1520-6750(199806)45:43.0.CO;2-7
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    References listed on IDEAS

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    1. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    2. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    3. Peter Kelle & Edward A. Silver & Glen F. Murphy, 1994. "Cost analysis and extension of a simple maintenance‐scheduling heuristic," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 945-958, December.
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    1. B.C. Giri & I. Moon & W.Y. Yun, 2003. "Scheduling economic lot sizes in deteriorating production systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(6), pages 650-661, September.
    2. Om Prakash & A.R. Roy & A. Goswami, 2014. "Stochastic manufacturing system with process deterioration and machine breakdown," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 2539-2551, December.
    3. B. C. Giri & T Chakraborty, 2007. "Optimal production, maintenance, and warranty strategies for item sold with rebate combination warranty," Journal of Risk and Reliability, , vol. 221(4), pages 257-264, December.

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