A weak derivative approach to optimization of threshold parameters in a multicomponent maintenance system

Journal of Applied Probability

Volumn 38, Issue 2, 2001, Pages 386-406

  Heidergott, Bernd ^a  

^a EURANDOM   (Netherlands)

Author keywords

Maintenance; Optimization; Simulation; Weak derivatives

Indexed keywords

EID: 0035610311     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/996986751     Document Type: Article

References (15)

1. BRÉMAUD, P. AND VÁZQUEZ-ABAD, F. (1994). On the path-wise computation of derivatives with respect to the rate of a point process: the phantom RPA method. Queueing Systems 10, 249-270.
2. CHO, D. AND PARLAR, M. (1991). A survey of maintenance models for multi-unit systems. Eur. J. Operat. Res. 51, 1-23.
3. DEKKER, R. (1995). Integrating optimization, priority setting, planning and combining of maintenance activities. Eur. J. Operat. Res. 82, 225-240.
4. DEKKER, R., VAN DER MEER, R., PLASMEIJER, R., WILDEMAN, R. AND DE BRUIN, J. (1998). Maintenance of light standards, a case-study. J. Operat. Res. Soc. 49, 132-143.
5. FU, M. AND HU, J.-Q. (1993). An application of perturbation analysis to a replacement problem in maintenance theory. In Proc. 1993 Winter Simulation Conf., eds G. Evans, M. Mollaghasemi, E. Russell and W. Biles, pp. 329-337.
6. FU, M. AND HU, J.-Q. (1997). Conditional Monte Carlo: Gradient Estimation and Optimization Applications. Kluwer, Boston.
7. KUSHNER, H. AND CLARK, D. (1978). Stochastic Approximation Methods for Constrained and Unconstrained Systems. Springer, New York.
8. L'ÉCUYER, P. AND VÁZQUEZ-ABAD, F. (1997). Functional estimation with respect to a threshold parameter via dynamic split and merge. Discrete Event Dynamic Systems 7, 69-92.
9. MEYN, S. AND TWEEDIE, R. (1993). Markov Chains and Stochastic Stability. Springer, London.
10. PFLUG, G. (1988). Derivatives of probability measures - concepts and applications to the optimization of stochastic systems. In Discrete Event Systems: Models and Applications(Lecture Notes Control Inf. Sci. 103), eds P. Varaiya and A. B. Kurzhanskiǐ. Springer, Berlin, pp. 252-274.
11. PFLUG, G. (1990). On-line optimization of simulated Markovian processes. Math. Operat. Res. 15, 381-395.
12. PFLUG, G. (1992). Gradient estimates for the performance of Markov chains and discrete event processes. Ann. Operat. Res. 39, 173-194.
13. PFLUG, G. (1996). Optimization of Stochastic Models. Kluwer, Boston.
14. THORISSON, H. (2000). Coupling, Stationarity, and Regeneration. Springer, New York.
15. VÁZQUEZ-ABAD, F., L'ÉCUYER, P. AND MARTIN, B. (1996). On the linear growth of the split-and-merge simulation tree for a multicomponent age replacement model. In Proc. Discrete Event Systems, eds R. Smedinga, M. P. Spathopoulos and P. Kozák. IEE, London, pp. 449-455.