Abstract
In this paper, we present two alternative quasi renewal processes based on the quasi-renewal process recently developed by Wang and Pham [17]. The first alternative process is an altered quasi-renewal process with random parameter and the other is a mixed quasi-renewal process considering replacements and repairs. These mixed and altered quasi-renewal processes are used for developing the warranty cost models, reliability and other measures for k-out-of-n systems. A numerical example is discussed to demonstrate the applicability of the proposed methodology.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jun Bai “On the Study of Warranties for Repairable Complex Systems”, Ph.D dissertation, Dept. of Ind. Eng., Rutgers Univ., Piscataway, NJ, 2004.
Jun Bai and H. Pham “Discounted Warranty Cost for Minimally Repaired Series Systems”, IEEE Trans. on Reliability, Vol. 53, No. 1, p. 37–42, 2004.
Jun Bai and H. Pham “Repair Limit Risk Free Warranty Policies with Imperfect Repair”, IEEE Trans. on Systems, Man and Cybernetics-Part A: Systems and Humans, Vol. 35, No. 6, p. 765–772, November 2005.
Jun Bai and H. Pham “Cost Analysis on Renewable Full-Service Warranties for Multi-Component Systems”, European J. of Operational Research 168, p. 492–508, 2006.
Yves Balcer and Izzet Sahin “Replacement Costs under Warranty: Cost Moments and Time Variability”, Operations Research, Vol. 34, No. 4, pp. 554–559, Jul.–Aug., 1986.
W.R. Buschke, D.N.P. Murthy (Eds.), Warranty Cost Analysis, Marcel Dekker Inc., 1994.
W. R. Buschke, D.N.P. Murthy (Eds.), Product Warranty Handbook, Marcel Dekker Inc., 1996.
Daniel P. Heyman, Matthew J. Sobel, Stochastic Models in Operations Research, New York, McGraw-Hill, 1982.
G. C. Noonan and C. G. Fain “Optimum Preventive Maintenance Policies When Immediate Detection of Failure is Uncertain”, Operations Research, Vol. 10, No. 3, pp. 407–410, May–June, 1962.
M. Park and H. Pham “Renewable Warranty Models using Quasi-renewal Processes”, 14th ISSAT International Conference on Reliability and Quality in Design Aug. 7–9, 2008, Orland, Florida.
H. Pham and H. Wang “Imperfect Maintenance”, European Journal of Operational Research 94, pp. 425–438, 1996.
H. Pham and H. Wang, “A Quasi-Renewal Process for Software Reliability and Testing Costs”, IEEE Trans. System, Man and Cybern. A, Vol. 31, No. 6, pp. 623–631, 2001.
R. I. Phelps, “Optimal Policy for Minimal Repair”, The Journal of the Operational Research Society, Vol. 34, No. 5, pp. 425–427, May, 1983.
S. M. Ross, Introduction to Probability Models, 8th ed., Academic, pp. 440–441, 2003
Marco Scarsini and Moshe Shaked “On the Value of an Item Subject to General Repair or Maintenance”, European J. of Operational Research 122, pp. 625–637, 2000.
H. Wang “Reliability and Maintenance Modeling for Systems with Imperfect”, Ph.D dissertation Dept. of Ind. Eng., Rutgers Univ., Piscataway, NJ, 1997.
H. Wang and H. Pham, “A Quasi-Renewal Process and its Applications in Imperfect Maintenance”, Int. J. Syst. Sci., Vol. 27, No. 10, pp. 1055–1062, 1996.
H. Wang and H. Pham “Availability and Maintenance of Series Systems Subject to Imperfect Repair and Correlated Failure and Repair”, European Journal of Operational Research 174, pp. 1706–1722, 2006.
H. Wang and H. Pham, Reliability and Optimal Maintenance, Springer, 2006.
Diederik J.D. Wijnmalen and Jan A.M. Hontelez “Coordinated Condition-Based Repair Strategies for Components of a Multi-Component Maintenance System with Discounts”, European Journal of Operational Research 98, pp. 52–63, 1997.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Park, M., Pham, H. Warranty system-cost analysis using quasi-renewal processes. OPSEARCH 45, 263–274 (2008). https://doi.org/10.1007/BF03398818
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03398818