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Original Articles

Periodic replacement strategies: optimality conditions and numerical performance comparisons

, &
Pages 7135-7152 | Received 01 Dec 2016, Accepted 23 Jun 2017, Published online: 12 Jul 2017

References

  • Ait-Kadi, D., C. Beaucaire, and R. Cléroux. 1990. “A Periodic Maintenance Model with Used Equipment and Random Minimal Repair.” Naval Research Logistics 37: 855–865.10.1002/(ISSN)1520-6750
  • Barlow, R. E., and L. C. Hunter. 1960. “Optimum Preventive Maintenance Policies.” Operations Research 8: 90–100.10.1287/opre.8.1.90
  • Barlow, R. E., and F. Proschan. 1962. “Planned Replacement.” In Studies in Applied Probability and Management Science, edited by K. J. Arrow, S. Karlin, and H. Scarf, 63–87. Stanford: Stanford University Press.
  • Barlow, R. E., and F. Proschan. 1965. Mathematical Theory of Reliability. New York: Wiley.
  • Barlow, R. E., and F. Proschan. 1981. Statistical Theory of Reliability and Life Testing. Silver Spring, MD: Hold, Reinhart and Wilson, Inc.
  • Berg, M. 1976. “A Proof of Optimality for Age Replacement Policies.” Journal of Applied Probability 13: 751–759.10.1017/S0021900200104413
  • Berg, M. 1980. “A Marginal Cost Analysis for Prevetive Replacement Policies.” European Journal of Operational Research 4 (2): 136–142.10.1016/0377-2217(80)90023-5
  • Berg, M., and R. Cléroux. 1982. “A Marginal Cost Analysis for an Age Replacement Policy with.” INFOR 20: 258–263.
  • Berg, M., and B. Epstein. 1976. “A Modified Block Replacement Policy.” Naval Research Logistics Quarterly 23: 15–24.10.1002/(ISSN)1931-9193
  • Bhat, B. R. 1969. “Used Item Replacement Policy.” Journal of Applied Probability 6: 309–318.10.1017/S0021900200032836
  • Block, H. W., W. S. Borges, and T. H. Savits. 1983. A General Minimal Repair Maintenance Models. Technical University of Pittsburgh.
  • Block, H. W., W. S. Borges, and T. H. Savits. 1985. “Age-Dependent Minimal Repair.” Journal of Applied Probability 22: 370–385.10.1017/S0021900200037839
  • Block, H. W., N. A. Langberg, and T. H. Savits. 1990. “Comparisons for Maintenance Policies Involving Complete and Minimal Repair.” Lecture Notes-Monograph Series 16: 57–68.10.1214/lnms/1215457549
  • Campbell, N. R. 1941. “The Replacement of Perishable Members of a Continually Operating System.” Journal of the Royal Statistical Society 110–130.
  • Chaudhry, M. L., and B. Fisher. 2012. “Simple and Elegant Derivations for Some Asymptotic Results : Results in Discrete-Time Renewal Process.” Statistics and Probability Letters 83 (1): 315–319.
  • Cléroux, H., and M. Hanscom. 1974. “Age Replacement with Adjustment and Depreciation Costs.” Technometrics 16: 235–239.
  • Cléroux, R., S. Dubuc, and C. Tilquin. 1979. “The Age Replacement Problem with Minimal Repair and Random Repair Costs.” Operations Research 27: 1158–1167.10.1287/opre.27.6.1158
  • Cox, D. R. 1960. Renewal Theory. London: Methuen.
  • Cox, D. R., and V. Isham. 1980. Point Processes. London: Chapman and Hall.
  • Dehayem, F. I., A. Gharbi, and J.-P. Kenné. 2011. “Preventive Maintenance and Replacement Policies for Deteriorating Production Systems Subject to Imperfect Repairs.” International Journal of Production Research 49 (12): 3543–3563.
  • El-Akruti, K., T. Zhang, and R. Dwight. 2016. “Developing an Optimum Maintenance Policy by Life Cycle Cost Analysis – A Case Study.” International Journal of Production Research 54 (19): 5946–5962.10.1080/00207543.2016.1193244
  • Hanscom, M., and R. Cléroux. 1975. “The Block Replacement Problem.” Journal of Statistical Computation and Simulation 3: 233–248.10.1080/00949657508810089
  • Langberg, Naftali A. 1988. “Comparisons of Replacement Policies.” Journal of Applied Probability 25: 780–788.10.1017/S0021900200041577
  • Lesanovsky, A. 1986. “Comparison of Two Replacement Policies.” Journal of Applied Probability 23: 759–769.10.1017/S0021900200111908
  • Lin, Z.-L., and Y.-S. Huang. 2010. “Nonperiodic Preventive Maintenance for Repairable Systems.” Naval Research Logistics (NRL) 57: 615–625.10.1002/nav.v57:7
  • Murthy, D. N. P., and D. G. Nguyen. 1982. “A Note on Extended Block Replacement Policy with Used Items.” Journal of Applied Probability 19 (4): 885–889.10.1017/S0021900200023251
  • Nakagawa, T. 1981. “A Summary of Periodic Replacement with Minimal Repair at Failure.” Journal of the Operations Research Society of Japan 24: 213–227.
  • Nakagawa, T. 1982. “A Modified Block Replacement with Two Variables.” IEEE Transactions on Reliability 31: 398–400.10.1109/TR.1982.5221391
  • Nakagawa, T. 1986. “Periodic and Sequential Preventive Maintenance Policies.” Journal of Applied Probability 23 (2): 536–542.10.1017/S0021900200029843
  • Nguyen Khanh, T. P., T. Young, and B. Castanier. 2016. “Acquisition of New Technology Information for Maintenance and Replacement Policies.” International Journal of Production Research 1–20.
  • Pham, H., and C.-D. Lai. 2007. “On Recent Generalizations of the Weibull Distribution.” IEEE Transactions on Reliability 56 (3): 454–458.10.1109/TR.2007.903352
  • Rebaiaia, M. L., D. Ait-Kadi, M. A. Jamali, and C. Mascle. 2015. “Modified Periodic Replacement with Used Items at Stochastic Failure: Focusing Sustainability and Profit Advantages.” Safety and Reliability of Complex Engineered Systems. CRC Press.
  • Rebaiaia, M. L., D. Ait-Kadi, S. Abbasgholizadeh Rahimi, and A. Jamshidi. 2016. “Numerical Comparative Analysis between Age and Block Maintenance Strategies in the Presence of Probability Distributions with Increasing Failure Rate.” IFAC-PapersOnLine 49 (12): 1904–1909.10.1016/j.ifacol.2016.07.908
  • Ross, S. M. 2010. Introduction to Probability Models. 10th ed. Oxford: Elsevier.
  • Savits, T. H. 1988. “A Cost Relationship between Age and Block Replacement Policies.” Journal of Applied Probability 25 (4): 789–796.10.1017/S0021900200041589
  • Shaked, M., and R. Szekli. 1995. “Comparison of Replacement Policies via Point Processes.” Advances in Applied Probability 27: 1079–1103.10.1017/S0001867800047807
  • Sheu, S.-H. 1996. “A Modified Block Replacement Policy with Two Variables and General Random Minimal Repair Cost.” Journal of Applied Probability 33 (2): 557–572.10.1017/S0021900200099976
  • Smith, W. L. 1957. “Asymptotic Renewal Theorems.” Proceedings of the Royal Society of Edinburgh 64 (2): 9–48.
  • Smith, W. L., and M. R. Leadbetter. 1963. “On the Renewal Function for the Weibull Distribution.” Technometrics 5 (3): 393–396.10.1080/00401706.1963.10490107
  • Tango, T. 1978. “Extended Block Replacement Policy with Used Items.” Journal of Probability 15: 560–572.
  • Weibull, W. 1951. “A Statistical Distribution Function of Wide Applicability.” Journal of Applied Mechanics, Transactions 3: 293–297.
  • Weiss, G. H. 1956. “On the Theory of Replacement of Machinery with a Random Failure Time.” Naval Research logistics Quarterly 3 (4): 279–294.
  • Welker, E. L. 1959. “Relationship between Equipment Reliability, Preventive Maintenance Policy, and Operating Costs.” In Proceedings Fifth National Symposium on Reliability and Quality Control. Washington, DC: Aeronautical Radio Inc.
  • Zhao, X., and Nakagawa, T. 2013. “Comparisons of Periodic and Random Replacement Policies.” In Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference, edited by I. B. Frenkel, A. Karagrigoriou, A. Lisnianski and A. Kleyner, 193–206. New York: Wiley.

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