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Scheduling economic lot sizes in deteriorating production systems

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  • B.C. Giri
  • I. Moon
  • W.Y. Yun

Abstract

The paper considers the economic lot scheduling problem (ELSP) where production facility is assumed to deteriorate, owing to aging, with an increasing failure rate. The time to shift from an “in‐control” state to an “out‐of‐control” state is assumed to be normally distributed. The system is scheduled to be inspected at the end of each production lot. If the process is found to be in an “out‐of‐control” state, then corrective maintenance is performed to restore it to an “in‐control” state before the start of the next production run. Otherwise, preventive maintenance is carried out to enhance system reliability. The ELSP is formulated under the capacity constraint taking into account the quality related cost due to possible production of non‐conforming items, process inspection, and maintenance costs. In order to find a feasible production schedule, both the common cycle and time‐varying lot sizes approaches are utilized. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 650–661, 2003

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:50:y:2003:i:6:p:650-661
    DOI: 10.1002/nav.10082
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    References listed on IDEAS

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    1. Guillermo Gallego & Ilkyeong Moon, 1995. "Strategic investment to reduce setup times in the economic lot scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(5), pages 773-790, August.
    2. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    3. Paul H. Zipkin, 1991. "Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 39(1), pages 56-63, February.
    4. Robin Roundy, 1989. "Rounding Off to Powers of Two in Continuous Relaxations of Capacitated Lot Sizing Problems," Management Science, INFORMS, vol. 35(12), pages 1433-1442, December.
    5. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    6. M Ben-Daya & M Hariga, 2000. "Economic lot scheduling problem with imperfect production processes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(7), pages 875-881, July.
    7. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    8. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. William L. Maxwell, 1964. "The scheduling of economic lot sizes," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 11(2), pages 89-124, June.
    10. Khouja, Moutaz & Michalewicz, Zgibniew & Wilmot, Michael, 1998. "The use of genetic algorithms to solve the economic lot size scheduling problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 509-524, November.
    11. Guillermo Gallego & Ilkyeong Moon, 1992. "The Effect of Externalizing Setups in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 40(3), pages 614-619, June.
    12. 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.
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