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A stochastic machine maintenance and sale problem: Results with different production functions

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  • Mark G. Tang

Abstract

In this article we solve and analyze a stochastic version of the Boiteux problem by employing the stochastic optimal control method. Our setup is close to that of Thompson [22]. Our focus is to analyze, under the same structure, how different production functions and how the variance in machine deterioration/maintenance affect our optimal machine maintenance and sale date decisions. © 1993 John Wiley & Sons, Inc.

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  • Mark G. Tang, 1993. "A stochastic machine maintenance and sale problem: Results with different production functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 677-696, August.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:5:p:677-696
    DOI: 10.1002/1520-6750(199308)40:53.0.CO;2-3
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    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
    3. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-534, June.
    4. Dov Pekelman & Edison Tse, 1980. "Experimentation and Budgeting in Advertising: An Adaptive Control Approach," Operations Research, INFORMS, vol. 28(2), pages 321-347, April.
    5. Gerald L. Thompson, 1968. "Optimal Maintenance Policy and Sale Date of a Machine," Management Science, INFORMS, vol. 14(9), pages 543-550, May.
    6. Hollis B. Chenery, 1949. "Engineering Production Functions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 63(4), pages 507-531.
    7. Syrquin, Moises, 1972. "Returns to Scale and Substitutability in the Repairmen Problem," Econometrica, Econometric Society, vol. 40(5), pages 937-941, September.
    8. William P. Pierskalla & John A. Voelker, 1976. "A survey of maintenance models: The control and surveillance of deteriorating systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 353-388, September.
    9. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
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