Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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An EMQ Model with Rework

재작업이 수반되는 경우에서의 경제적 생산량 결정

  • Kim, Chang Hyun (Division of Transportation and Logistics Systems Engineering, Yosu National University)
  • 김창현 (여수대학교 공과대학 교통.물류시스템공학부)
  • Published : 2005.06.30
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Abstract

This paper presents an extended EMQ model which determines an optimal production quantity for a single stage production system when defective items are stochastically produced in the production process and they are re-processed in the rework process to convert them into non-defectives. Through the mathematical modeling, an optimal solution minimizing the average cost per unit time and minimum average cost as well as some properties are derived. It can be shown that each of the existing models is a special case of the proposed model under some conditions. Numerical experiment is carried out to examine the behavior of the proposed model and support properties derived.

Keywords

References

  1. Hax, A. C. and Candea, D.(1984), Production and Inventory Management, Prentice-Hall, Inc.,New Jersey
  2. Jamal, A. M. M., Sarker, B. R., and Mondal S.(2004), Optimal Manufacturing Batch Size with Rework Process at a SingleStageProduction System, Computers &Industrial Engineering, 47(1),77-89 https://doi.org/10.1016/j.cie.2004.03.001
  3. Kim, C. H. and Hong, Y.(1999), An Optimal Production Run Length in Deteriorating Production Processes, International Journal of Production Economics, 58, 183-189 https://doi.org/10.1016/S0925-5273(98)00119-4
  4. Lee, H. L. and Rosenblatt, M. J.(1987), Simultaneous Determination of Production Cycle and Inspection Schedules In a Production System, Management Science, 33(9), 1125-1136 https://doi.org/10.1287/mnsc.33.9.1125
  5. Lee, H. L. and Rosenblatt, M. J.(1989), A Production and Maintenance Planning Model with Restoration Cost Dependent on DetectionDelay, lIE Transactions, 21(4), 368-375
  6. Porteus, E. L.(1986), Optimal Lot Sizing, Process Quality Improvement and SetupCost Reduction, Operations Research, 34(1),137-144 https://doi.org/10.1287/opre.34.1.137
  7. Rahim,M. A.(1994),Joint Determination of Production Quantity, Inspection Schedule, andControl ChartDesign, lIE Transactions, 26(6), 2-11
  8. Rosenblatt, M. J. and Lee, H. L.(1986), Economic Production Cycles with ImperfectProduction Processes, lIE Transactions, 18(1),48-55
  9. Salameh, M. K. and Jaber, M. Y.(2000), Economic Production Quantity Modelfor Items with Imperfect Quality, International Journal of Production Economics, 64, 59-64 https://doi.org/10.1016/S0925-5273(99)00044-4
  10. Silver, E. A. and Peterson, R.(1985), Decision Systems for Inventory Management and Production Planning, Wiley, New York
  11. Yano, C. A. and Lee, H. L.(1995), Lot Sizing with Random Yields: A Review, Operations Research, 43(2),311-334 https://doi.org/10.1287/opre.43.2.311
  12. Zhang,X. and Gerchak,Y.(1990), Joint Lot Sizing and Inspection Policy in an EOQ Modelwith Random Yield, lIE Transactions, 22(1),41-47