A Production and Preventive Maintenance Policy with Two Types of Failures

두 가지 고장형태를 고려한 생산 및 예방보전 정책

  • 김호균 (동의대학교 산업공학과) ;
  • 조형수 (부산대학교 BK21 로지스틱스 사업팀)
  • Published : 2002.09.01

Abstract

This paper studies an economic manufacturing quantity (EMQ) model with two types of failures and planned preventive maintenance of the production facility. One is a type I (major) failure which should be corrected by a failure maintenance and the other is a type H (minor) failure which can be minimally repaired without interrupting the production run. The objective is to determine the lot size and preventive replacement policy minimizing the long-run expected cost per unit time. We consider a control policy with a constant production lot size and preventive maintenance after completing n production runs. It is assumed that both preventive and failure maintenance times are random and the demand arriving during a stock-out period is lost. An expression for the expected cost per unit time is obtained in the general case. A special case is discussed and numerical results are provided.

Keywords

References

  1. Groenevelt, H., L. Pintelon and A. Seidmann, 'Production Lot Sizing with Machine Breakdowns', Manage-ment Science, Vol. 38, pp. 104-123, 1992a https://doi.org/10.1287/mnsc.38.1.104
  2. Groenevelt, H., L. Pintelon and A. Seidmann, 'Production Batching with Machine Breakdowns and Safety Stocks', Operations Research, Vol. 40, pp. 959-971, 1992b https://doi.org/10.1287/opre.40.5.959
  3. Lee, H.L. and MJ. Rosenblatt, 'Simultaneous Determination of Pro-duction Cycle and Inspection Schedules in a Production System', Management Science, Vol. 33, PP. 1125-1136, 1987 https://doi.org/10.1287/mnsc.33.9.1125
  4. Lee, H.S. and M.M. Srinivasan, 'A Production/Inventory Policy for anUnreliable Machine', Integrated Models in Production Planning, Inventory, Quality, and Maintenance In: Rahim M. A. and M. Ben-Daya (ed.), pp. 79-94, 2001
  5. Makis, V. and I. Fung, 'An EMQ Model with Inspections and Random Machine Failures', Journal of the Operational Research Society, Vol. 49, pp. 66-76, 1998 https://doi.org/10.1057/palgrave.jors.2600484
  6. Makis, V., X. Jiang and E. Tse, 'A General EMQ Model with Machine Breakdowns and Two Types of Failure', Maintenance, ModeUng and Optimization In: Ben-Daya, M., S.O. Duffuaa and A. Raouf (ed.), pp. 377-396, KAP, Boston, 2000
  7. Porteus, E.L., 'Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction', Operation. Research, Vol. 34, pp. 137-144, 1986 https://doi.org/10.1287/opre.34.1.137
  8. Rosenblatt, M.J. and H.L. Lee, 'Economic Production Cycles with Imperfect Production Processes', IIE Transactions, Vol. 18, PP. 48-55, 1986 https://doi.org/10.1080/07408178608975329