Journal of the Korean Institute of Plant Engineering (대한설비관리학회지)

The Korean Institute of Plant Engineering (대한설비관리학회)
권호 표지

Determination of optimal production lot size when a production system is under constant surveillance

연속적인 감시하에 있는 생산시스템의 최적 생산량 결정

  • Kim, Chang-Hyun (School of Business and Commerce, Chonnam National University)
  • 김창현 (전남대학교 문화사회과학대학 경상학부)
  • Received : 2013.02.09
  • Accepted : 2013.03.11
  • Published : 2013.03.31
⟨ Previous Next ⟩

Abstract

This paper presents an EMQ model which determines an optimal production quantity in an unreliable machine. A machine is subject to a random failure from an in-control state to an out-of-control state and thus produces some proportion of defective items. It is assumed that a sensor, which is also failure prone, is attached to the machine to monitor the machine continuously and detects its state promptly. It is discussed how to determine EMQ when the time between failures of a machine as well as a sensor is exponentially distributed. Through a numerical experiment, the behavior of the proposed model is investigated, and variations of an EMQ depending on the performance of the sensor are also examined.

Keywords

References

  1. Kim, C. H., and Hong, Y.,"An Optimal Production Cycle and Inspection Schedules in A Deteriorating Machine", Journal of the Korean Institute of Industrial Engineers, 23(2), pp.2 61-273, 1997.
  2. Kim, C. H.,"An EMQ Model with Rework", Journal of the Korean Institute of Industrial Engineers, 31(2), pp. 173-179, 2005.
  3. Giri, B. C., Yun, W. Y., and Dohi, T.,"Optimal design of unreliable production inventory systems with variable production rate", European Journal of Operational Research, 162(2), pp. 372-386, 2005. https://doi.org/10.1016/j.ejor.2003.10.015
  4. Groenevelt, H., Pintelon, L., and Seidmann, A., "Production Lot Sizing with Machine Breakdowns", Management Science, 38(1), pp. 104-123, 1992a. https://doi.org/10.1287/mnsc.38.1.104
  5. Groenevelt, H., Pintelon, L., and Seidmann, A.,"Production Batching with Machine Breakdowns and Safety Stocks", Operations Research, 40(5), pp. 959-971, 1992b. https://doi.org/10.1287/opre.40.5.959
  6. Jamal, A. M. M., Sarker, B. R., and Mondal, S.,"Optimal Manufacturing Batch Size with Rework Process at a Single-Stage Production System", Computers & Industrial Engineering, 47(1), pp.77-89, 2004. https://doi.org/10.1016/j.cie.2004.03.001
  7. Kim, C. H., and Hong, Y.,"An Extended EMQ Model for A Failure Prone Machine with General Lifetime Distribution", International Journal of Production Economics, 49, pp. 215-223, 1997. https://doi.org/10.1016/S0925-5273(97)00013-3
  8. Kim, C. H., and Hong, Y.,"An Optimal Production Run Length in Deteriorating Production Processes", International Journal of Production Economics, 58, pp. 183-189, 1999. https://doi.org/10.1016/S0925-5273(98)00119-4
  9. Lawless, J. F., Statistical Models and Methods for Lifetime Data, John Wiley & Sons, 1982.
  10. Lee, H. L., and Rosenblatt, M. J.,"Simultaneous Determination of Production Cycle and Inspection Schedules In a Production System", Management Science, 33(9), pp. 1125-1136, 1987. https://doi.org/10.1287/mnsc.33.9.1125
  11. Liou, M. J., Tseng, S. T., and Lin, T. M.,"The Effects of Inspection Errors to the Imperfect EMQ Model", IIE Transactions, 26(2), pp. 42-51, 1994. https://doi.org/10.1080/07408179408966595
  12. Porteus, E. L.,"Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction", Operations Research, 34(1), pp. 137-144, 1986. https://doi.org/10.1287/opre.34.1.137
  13. Rahim, M. A. M.,"Joint Determination of Production Quantity, Inspection Schedule, and Control Chart Design", IIE Transactions, 26(6), pp. 2-11, 1994.
  14. Rosenblatt, M. J., and Lee, H. L.,"Economic Production Cycles with Imperfect Production Processes", IIE Transactions, 18(1), pp. 48-55, 1986. https://doi.org/10.1080/07408178608975329
  15. Ross, S. M., Stochastic Processes, John Wiley, New York. 1983.
  16. Salameh, M. K., and Jaber, M. Y.,"Economic Production Quantity Model for Items with Imperfect Quality", International Journal of Production Economics, 64, pp. 59-64, 2000. https://doi.org/10.1016/S0925-5273(99)00044-4
  17. Zhang, X., and Gerchak, Y.,"Joint Lot Sizing and Inspection Policy in an EOQ Model with Random Yield", IIE Transactions, 22(2), pp. 41-47, 1990. https://doi.org/10.1080/07408179008964156