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Maintenance, Modeling and Optimization pp 3–35Cite as

Overview of Maintenance Modeling Areas

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This chapter provides a brief overview of the research areas of maintenance modeling. It is not meant to be a complete review of maintenance models but rather as an informative introduction to important maintenance modeling areas. Areas covered include maintenace planning and scheduling, spare parts provisioning, preventive and condition based maintenance, and integrated maintenance, production, and quality models. Directions for future research are outlined.

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References

  1. Albino, V, Carella, G., and Okogbaa, O.G. Maintenance Policies in Just-In-Time Manufacturing Lines. International Journal of Production Research. 30 (1992) 369–382.

    Article  MATH  Google Scholar 

  2. Albright, A. Evaluation of Costs of Ordering Policies in Large Machine Repair Problems. Naval Research Logistics Quarterly, 31 (1984) 387–398.

    Article  MathSciNet  MATH  Google Scholar 

  3. Albright, A. and Soni, A. Markovian Multi-Echelon Repairable Inventory System. Naval Research Logistics, 35 (1988) 49–61.

    Article  MathSciNet  MATH  Google Scholar 

  4. Al-Zubaidi, H. and Christer, A.H. Maintenance manpower modelling for a hospital Buliding complex. European Journal of Operational Research, 99 (1995) 603–618.

    Article  Google Scholar 

  5. Ashayeri, J., Teelen A., and Selen, W. A Production and Maintenance Planning Model for the Process Industry. International Journal of Production Research, 34 (1996) 3311–3326.

    Article  MATH  Google Scholar 

  6. Baker M.J.C., How often should a machine be inspected?, International Journal of Quality and Reliability Management, 7, 1990, 14–18.

    Google Scholar 

  7. Baker, R.D. and Christer, A.H. Review of Delay-Time OR Modeling of Engineering Aspects of Maintenance. European Journal of Operational Research, 73 (1994) 407–422.

    Article  MATH  Google Scholar 

  8. Banerjee, P.K. and Chuiv, N.N. Inspection Policies for Repairable Systems. IIE Transactions, 28 (1996) 1003–1010.

    Google Scholar 

  9. Barlow, R.E. and Hunter, L.C. Optimum Preventive Maintenance policies. Operations Research, 8 (1960) 90–100.

    Article  MathSciNet  MATH  Google Scholar 

  10. Barlow, R.E. and Proschan, F. Mathematical Theory of Reliability. Wiley, New York, 1965.

    MATH  Google Scholar 

  11. Ben-Daya, M. Integrated Production, Maintenance, and Quality Model for Imperfect Processes. IIE Transactions, 31 (1999) 491–501.

    Google Scholar 

  12. Ben-Daya, M. and Duffuaa, S.O. Maintenance and Quality: the Missing Link. Journal of Quality in Maintenance Engineering, 1 (1995) 20–26.

    Article  Google Scholar 

  13. Ben-Daya M. and Hariga M., A maintenance inspection model: optimal and heuristic solutions, International Journal of Quality and Reliability Management, 15 (1998) 481–488.

    Article  Google Scholar 

  14. Ben-Daya, M. and Mahkdoum, M. Integrated Production and Quality Model under Various Preventive Maintenance Policies. Journal of the Operational Research Society, 49 (1998) 840–853.

    MATH  Google Scholar 

  15. Ben-Daya, M. and Rahim, M.A. Effect of Maintenance on the Economic Design of x—Chart. The European Journal of Operational Research, 120 (2000) 131–143.

    Article  MATH  Google Scholar 

  16. Ben-Daya, M. and Rahim. M.A. Integrated Production, Quality and Maintenance Models: a Review. In Integrated Modeling in IQM: Production Planning, Inventory, Quality and Maintenance, Kluwer Academic Publishers, Forthcoming.

    Google Scholar 

  17. Bergman, B. Optimal Replacement Under a General Failure Model. Advances in Applied Probability, 10 (1978) 431–451.

    Article  MathSciNet  MATH  Google Scholar 

  18. Brandolese, M., Francei, M., and Pozetti, A. Production and Maintenance Integrated Planning. International Journal of Production Research, 34 (1996) 2059–2075.

    Article  MATH  Google Scholar 

  19. Brown, M. and Proschan, F. Imperfect Repair. Journal of Applied Probability. 20 (1983) 851–859.

    Article  MathSciNet  MATH  Google Scholar 

  20. Buyukkurt, M.D., and Parlar, M. (1989). A Comparison of Allocation Policies in a Two-Echelon Repairable-Item Inventory Model. Submitted.

    Google Scholar 

  21. Canfield, R.V. Cost Optimization of Periodic Preventive Maintenance. IEEE Transactions on Reliabiity. R-35 (1986) 78–81.

    Article  Google Scholar 

  22. Cho, D. and M. Parlar. A Survey of Maintenance Models for Multi Unit systems. European Journal of Operational research 51 (1991) 1–23.

    Article  Google Scholar 

  23. Clark, A.J. Experience with Multi-Indentured, Multi-Echelon Inventory Model. TIMS Studies in Management Science, edited by L.B. Schwarz, 16 (1981) 299–330.

    Google Scholar 

  24. Christer, A.H. and Waller, W.M. Delay-time Models of Industrial Maintenance Problems. Journal of Operational Research Society, 35 (1984) 401–406.

    MATH  Google Scholar 

  25. Christer A.H. and Wang, W. A State Space Condition Monitoring Model for Furnace Erosion Prediction and Replacement. 1995 IFRIM Workshop Proceeding, San Farnacisco, July 1995.

    Google Scholar 

  26. Chu, C., Proth, J.M., and Wolf, F. Predictive Maintenance: The One-Unit Replacement Model. International Journal of Production Economics, 54 (1998) 285–295.

    Article  Google Scholar 

  27. Cox, D.R and Oakes, D. Analysis of survival data. Chapman & Hall, London, 1984.

    Google Scholar 

  28. Dekker, R. On the Use of Operations Research Models for Maintenance Decision Making. Microelectronics and Reliability 35 (1995) 1321–1331.

    Article  Google Scholar 

  29. Dhakar, T.S., Schmidt, C.P., and Miller, D.M. Base Stock Level Determination for High Cost Low Demand Critical Repairable Spares. Computers Ops Res, 21 (1994) 411–420.

    Article  MATH  Google Scholar 

  30. Dopazo, J. F., and Merrill, H.M. Optimal Generator Maintenance Scheduling using Integer Programming. IEEE Transactions on Power Apparatus and Systems, 94 (1975) 1537–1545.

    Article  Google Scholar 

  31. Duffuaa, S.O. and Al-Sultan, K.S. A Stochastic Programming Model for Scheduling Maintenance Personnel. Applied Mathematical Modelling, 25 (1999) 385–397.

    Article  Google Scholar 

  32. Duffuaa, S.O. and Raouf, A. A Simulation Model for Determining Maintenance Staffing in an Industrial Environment. Simulation, 8 (1993) 93–99.

    Google Scholar 

  33. Elsayed, E. A. Reliability Engineering. New York, Addison Wesley Longman, 1996.

    Google Scholar 

  34. Escudero, L. F. On Maintenance Scheduling of Production Units. European Journal of Operational Research 9 (1982) 264–274.

    Article  MATH  Google Scholar 

  35. Fitzgerald, J.W. Three Echelon LRU Search Algorithm. Working Paper, Air Force Logistics Command, Wright-Patterson Air Force Base, Ohio, 1975.

    Google Scholar 

  36. Groenevelt, H.A., Seidmann, A. and Pintelon, L. Production Lot Sizing with Machine Breakdown. Management Science, 38 (1992) 104–123.

    Article  MATH  Google Scholar 

  37. Hariga, M. A Maintenance Inspection Model for a Single Machine with General Failure Distribution. Microelectronics and Reliability, 36 (1996) 353–358.

    Article  Google Scholar 

  38. Hax, A.C. and D. Candea, Production and Inventory Management, Prentice Hall, Englewood Cliffs, N.J., 1984.

    Google Scholar 

  39. Henin, C.G. Optimal Replacement Policies for a Single Loaded Sliding Standby. Management Science, 18 (1972) 706–715.

    Article  MATH  Google Scholar 

  40. Henin, C.G., and Perrakis, S. Optimal Replacement Policies with Two or More Loaded Sliding Standbys. Naval Research Logistics Quarterly,30 (1983) 583–599.

    Article  MATH  Google Scholar 

  41. Heyman, D.P. Optimal Disposal Policies for a Single-Item Inventory System with Returns. Naval Research Logistics Quarterly, 25 (1977) 581–596.

    Article  Google Scholar 

  42. Jardine, A.K.S. Maintenance, Replacement and Reliability. Pitman, London, 1973.

    Google Scholar 

  43. Jardine A.K.S., Makis, V., Banjevic, D., Braticevic, D., and Ennis, M. A Decision Optimization for Condition-Based Mainteanance. Journal of Quality in Mainteanance Engineering, 4 (1998) 115–121.

    Article  Google Scholar 

  44. Jayabalan, V. and Chaudri, D. Optimal Mainteanance and Replacement Policy for a Deteriorating System with Increased Mean Downtime. Naval Resarch Logistics. 39 (1991) 67–78.

    Article  Google Scholar 

  45. Jayabalan, V. and Chaudri, D. An Heuristic Approach for Finite Time Maintenance Policy. International Journal of Production Economics. 27 (1992) 251–256.

    Article  Google Scholar 

  46. Kabir, A.B.M.Z., and Al-Olayan, A.S. A Stocking Policy for Spare Part Provisioning under Age Based Preventive Replacement. European Journal of Operational Research, 90 (1996) 171–181.

    Article  MATH  Google Scholar 

  47. Kaio, N., and Osaki, S. Optimum Ordering Policies with Lead Time for an Operating Unit in Preventive Maintenance. IEEE Transactions on Reliability, 27 (1978) 270–271.

    Article  MATH  Google Scholar 

  48. Kaio, N., and Osaki, S. Optimum Planned Maintenance Policies with Lead Time”, IEEE Transactions on Reliability, 30 (1981) 79.

    Article  Google Scholar 

  49. Kawai, H. An Optimal Ordering and Replacement Policy of a Markovian Degradation System under Complete Observation. Journal of Operational Research Society of Japan, 26 (1983) 279–290.

    MATH  Google Scholar 

  50. Kawai, H. An Optimal Ordering and Replacement Policy of a Markovian Degradation System under Incomplete Observation. Journal of Operations Research Society of Japan, 26 (1983) 293–306.

    MATH  Google Scholar 

  51. Kralj, B. L. and Pedrovic K. M. Optimal Preventive Maintenance Scheduling of Thermal Generating Units in Power Systems: A Survey of Problem Formulations and Solution Methods. European Journal of Operational Research, 35 (1988) 1–15.

    Article  Google Scholar 

  52. Kumar, N., Vrat, P., and Sushil. A Simulation Study of Unit Exchange Spares Management of Diesel Locomotives in the Indian Railways”, International Journal of Production Economics, 33 (1994) 225–236.

    Article  Google Scholar 

  53. Kumar, D. and Klefsjo, B. Proportional Hazards Model: a Review. Reliability Engineering and System Safety, 44 (1994) 177–188.

    Article  Google Scholar 

  54. Lawrence S.H., and Schafer M.K. Optimal Maintenance Center Inventories for Fault-Tolerant Repairable Systems. Journal of Operations Management, 4 (1984) 175–181.

    Article  Google Scholar 

  55. Lee, H.L., and Rosenblatt J.J. Simultaneous Determination of production Cycles and Inspection Schedules in a Production System. Management Science, 33 (1987) 1125–1136.

    Article  MATH  Google Scholar 

  56. Lie, C.H. and Chun, Y.H. An Algorithm for Preventive Maintenance policy. IEEE Transactions on Reliability. R-35 (1986) 71–75.

    Article  Google Scholar 

  57. Madu, C.N., and Kuei, C.H. Simulation Metamodels of System Availability and Optimum Spare and Repair Units. IIE Transactions, 24 (1995

    Google Scholar 

  58. Malik, M.A.K. Reliable Preventive Maintenance Scheduling. AIIE Transactions. 11 (1979) 221–228.

    Article  Google Scholar 

  59. Makis, V. Optimal Lot Sizing and Inspectionn Policy for an EMQ Model with Imperfect Inspections. Naval Research Logistics 45 (1998) 165–186.

    Article  MathSciNet  MATH  Google Scholar 

  60. Makis, V. and Fung, J. Optimal Preventive Replacement, Lot Sizing and Inspection Policy for a deteriorating Production System. Journal of Quality in Maintenance Engineering 1 (1995) 41–55.

    Article  Google Scholar 

  61. Makis, V. and Jardine, A.K.S. Optimal replacement in the proportional hazards model. INFOR 30 (1991) 172–183.

    Google Scholar 

  62. Makis, V. and Jardine, A.K.S. Computation of Optimal policies in replacement models. IMA Journal of Mathematics Applied in Business & Industry 3 (1992) 169–175.

    Google Scholar 

  63. Muckstadt, J.A. A Model for a Multi-Item, Multi-Echelon, Multi-Indenture Inventory System. Management Science, 20 (1973) 472–481.

    Article  MATH  Google Scholar 

  64. Muckstadt, J.A. Some Approximations in Multi-Item Multi Echelon Inventory Systems for Recoverable Items. Naval Research Logistics Quarterly, 25 (1978) 377–394.

    Article  MathSciNet  MATH  Google Scholar 

  65. Muckstadt, J.A. A Three-Echelon, Multi-Item Model for Recoverable Items. Naval Research Logistics Quarterly, 26 (1979) 199–221.

    Article  MATH  Google Scholar 

  66. Muckstadt, J.A., and Thomas, L.J. Are Multi-echelon inventory methods worth implementing in systems with low-demand-rate items. Management Science, 26 (1980) 493–494.

    Article  Google Scholar 

  67. Munford, A.G. Comparison Among Certain Inspection Policies. Management science, 27 (1981) 260–267.

    Article  MATH  Google Scholar 

  68. Munford, A.G. and Sahani, A.K. A Nearly Optimal Inspection Policy. Operational research Quarterly, 23 (1973) 373–379.

    Article  Google Scholar 

  69. Murthy, D.N.P. and Nguyen, D.G. Optimal Age-Policy With Imperfect Preventive Maintenance. IEEE Transactions on Reliabiity. R-30 (1981) 80–81.

    Article  Google Scholar 

  70. Nahmias, S. Managing Repairable Item Inventory Systems: a Review. TIMS Studies in the Management Sciences, 16 (1981) 253–277.

    Google Scholar 

  71. Nahmias, S. Production and Operations Research, McGraw Hill, Singapore, 1997.

    Google Scholar 

  72. Nakagawa, T. Mean Time to Failure with Preventive Maintenance. IEEE Transactions on Reliability. 29 (1980) 341.

    Article  Google Scholar 

  73. Nakagawa, T. Periodic and Sequential Preventive Maintenance Policies. Journal of Applied Probability. 23 (1986) 16–21.

    Article  MathSciNet  Google Scholar 

  74. Nakagawa, T. Sequential Imperfect Preventive Maintenance Policies. IEEE Transactions on Reliability. 37 (1988) 295–298.

    Article  MathSciNet  MATH  Google Scholar 

  75. Nguyen, D.G. and Murthy, D.N.P. Optimal Preventive Maintenance Policies for Repairable Systems. Operations Research. 29 (1981) 1181–1194.

    Article  MathSciNet  MATH  Google Scholar 

  76. Osaki, S., and Nakagawa, T. Two Models for Ordering Policies. Notes in Decision Theory, No.34, University of Manchester, Manchester, 1977.

    Google Scholar 

  77. Osaki, S., Kaio, N., and Yamada, S. A summary of optimal ordering policies. IEEE Transactions on Reliability, 30 (1981) 272–277.

    Article  MATH  Google Scholar 

  78. Park, Y.T., and Park, K.S. Generalized Spare Ordering Policies with Random Lead Time”, European Journal of Operational Research, 23 (1986) 320–330.

    Article  MathSciNet  Google Scholar 

  79. Pate-Cornell, M.E., Lee, H.E., and Tagaras, G. Warnings of Malfunction: the Decision to Inspect and Maintain Production Processes on Schedule or on Demand. Management Science, 33 (1987) 1277–1290.

    Article  Google Scholar 

  80. Pham, H. and Wang, H. Imperfect Maintenance. European Journal of Operational Research, 94 (1996) 425–438.

    MATH  Google Scholar 

  81. Phelps, E. Optimal Decision Rules for Procurement Repair or Disposal of Spare Parts. RM 2920-PR-, RAND Corp., Santa Monica, CA, 1962.

    Google Scholar 

  82. Pierskalla, W.P. and Voelker, J.A. A Survey of Maintenance Models: the Control and Surveillance of Deteriorating Systems. Naval Research Logistics Quarterly 23 (1976) 353–388.

    Article  MathSciNet  MATH  Google Scholar 

  83. Rahim, M.A. Joint Determination of Production Quantity Inspection Schedule, and Control Chart Design. IIE Transactions, 26 (1994) 2–11.

    Article  Google Scholar 

  84. Rishel, T.D. and Christy, D.P. Incorporating Maintenance Activities into Production Planning: Integration at the Master Schedule versus Material Requirements Level. International Journal of Production Research, 34 (1996) 421–446.

    Article  MATH  Google Scholar 

  85. Roberts, S. M., and Escudero, L.F. Minimum Problem Size Formulation for the Scheduling of Plant Maintenance Personnel. Journal of Optimization Theory and Applications, 39 (1983) 345–362.

    Article  MathSciNet  Google Scholar 

  86. Rosenman, B. and Hoekstra D. A Management System for High-Value Army Components. U.S. Army Advanced Logistics Research Office, Prankfort Arsenal, Report No. TR64-1, Philadelphia, Pennsylvania, 1964.

    Google Scholar 

  87. Rosenblatt, M.J., and Lee, H.L. Economic Production Cycles with Imperfect Production Processes. IIE Transactions, 18 (1986) 48–55.

    Article  Google Scholar 

  88. Scudder, G.D. Priority Scheduling and spares stocking policies for a repair shop: the multiple failure case. Management Science, 30 (1984) 739.

    Google Scholar 

  89. Scudder, G.D., and Hausman, W.H. Spares Stocking Policies for Repairable Items with Dependent Repair Items, it Navel Research Logistic, 29 (1982) 303–322.

    Article  MATH  Google Scholar 

  90. Sheikh, A.K., Callom, F.L., and Mustafa S.G. Strategies in spare parts management using a reliability engineering approach. Engineering Costs and Productions Economics, 21 (1991) 51–57.

    Article  Google Scholar 

  91. Sherbrooke, C.C. METRIC: a Multi-Echelon Technique for Recoverable Item Control. Operations Research, 16 (1968) 122–141.

    Article  Google Scholar 

  92. Sherbrooke, C.C. A Evaluator for the Number of Operationally Ready Aircraft in a Multi-Echelon Availability models. Operations Research, 19 (1971) 618–635.

    Article  MATH  Google Scholar 

  93. Sherif, Y.S. and Smith, M.L. Optimal Maintenance Models for Systems Subject to Failure: a Review. Naval Research Logistics Quarterly, 28 (1981) 47–74.

    Article  MathSciNet  MATH  Google Scholar 

  94. Silver, E.A., D.F. Pyke and R. Peterson, Inventory Management and Production Planning and Scheduling, John Wiley and Sons, Inc., New York, 1998.

    Google Scholar 

  95. Simon, R.M. Satisfactory Properties of a Two-Echelon Inventory Modes for Low Demand Items. Operations Research, 19 (1971) 761–773.

    Article  MathSciNet  MATH  Google Scholar 

  96. Slay, F.M., and O’Malley, T.J. An Efficient Optimization Procedure for a Levels-of-Indenture Inventory Model. AF-605 (draft), Logistics Management Institute, Washington, D.C., 1978.

    Google Scholar 

  97. Smith C.H., and Schafer, M.K. Optimal Inventories for Repairable Redundent Systems with Aging Components. Journal of Operations Management, 5 (1985) 339–350.

    Article  Google Scholar 

  98. Sun, Y. Simulation for Maintenance of an FMS: an Integrated system of Maintenance and Decision Making. International Journal of Advanced Manufacturing Technology. 9 (1994) 35–39.

    Article  Google Scholar 

  99. Tagaras, G. An Integrated Cost Model for the Joint Optimization of Process Control and Maintenance. Operations Research 39 (1988) 757–766.

    MATH  Google Scholar 

  100. Tapiero, C.S. Continuous Quality Production and Machine Maintenance. Naval Resarch Logistics Quaterly, 33 (1986) 489–499.

    Article  MathSciNet  MATH  Google Scholar 

  101. Taylor, H.M. Optimal Replacement under Additive Damage and other Failure Models. Naval Resarch Logistics Quaterly, 22 (1975) 1–18.

    Article  MATH  Google Scholar 

  102. Taylor, R. J., A linear programming model to manage the maintenance backlog Omega, International journal of Management Science, 24-2(1995) 217–227.

    Google Scholar 

  103. Thomas, L.C., and Osaki, S. A note on ordering policy. IEEE Transactions on Reliability, 27 (1978) 380–381.

    Article  MATH  Google Scholar 

  104. Thomas, L.C., and Osaki, S. An optimal ordering policy for a spare unit with lead time. European Journal of Operational Research, 2 (1978) 409–419.

    Article  MathSciNet  MATH  Google Scholar 

  105. Tse, E. and Makis, V. Optimization of Lot Size and the Time of Replacement in a Production System Subject to Random Failure. In Proceedings of Automation’94, Taipei, Taiwan, 4 (1994) 163–169.

    Google Scholar 

  106. Valdez-Flores, C. and Feldman, R.M. A Survey of Preventive Maintenance Models for Stochastically Deteriorating Single Unit Systems. Naval Research Logistics Quarterly. 36 (1989) 419–446.

    Article  MathSciNet  MATH  Google Scholar 

  107. Wildeman, R. The Art of Grouping Maintenance, Thesis Publishers, Amsterdam, 1996.

    Google Scholar 

  108. Worral, B.M., and B. Mert. Applications of Dynamic Scheduling Rules in Maintenence Planning and Scheduling. Proceedings of the 5th International Conference on Production Research (1CPR), August 12-16, 1979, pp. 260–264.

    Google Scholar 

  109. Zuckerman, D. Replacement Models under Additive Damage. Naval research Logistics Quarterly, 24 (1977) 549–558.

    Article  MathSciNet  MATH  Google Scholar 

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  1. Systems Engnieering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    M. Ben-Daya & S. O. Duffuaa

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  1. Department of Systems Engineering College of Computer Sciences & Engineering, King Fahd University of Petroleum & Minerals, Saudi Arabia

    Mohamed Ben-Daya , Salih O. Duffuaa  & Abdul Raouf ,  & 

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Ben-Daya, M., Duffuaa, S.O. (2000). Overview of Maintenance Modeling Areas. In: Ben-Daya, M., Duffuaa, S.O., Raouf, A. (eds) Maintenance, Modeling and Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4329-9_1

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