Optimal simultaneous replacement and maintenance of a machine with process discontinuities
Revue française d'informatique et de recherche opérationnelle. Série verte, Tome 5 (1971) no. V2, pp. 79-86. 
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     author = {Tapiero, Charles S.},
     title = {Optimal simultaneous replacement and maintenance of a machine with process discontinuities},
     journal = {Revue fran\c{c}aise d'informatique et de recherche op\'erationnelle. S\'erie verte},
     pages = {79--86},
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     volume = {5},
     number = {V2},
     year = {1971},
     mrnumber = {329601},
     zbl = {0222.90020},
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     url = {http://archive.numdam.org/item/RO_1971__5_2_79_0/}
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Tapiero, Charles S. Optimal simultaneous replacement and maintenance of a machine with process discontinuities. Revue française d'informatique et de recherche opérationnelle. Série verte, Tome 5 (1971) no. V2, pp. 79-86. http://archive.numdam.org/item/RO_1971__5_2_79_0/

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2. M. R. Hestenes, Calculus of Variations and Optimal Control Theory, New York, John Wiley and Sons Inc., 1966. | MR | Zbl

3. L. S. Pontryagin, V. G. Boltyonskii, P. V. Gamkrelidze and E. V. Mischenko. The Mathematical Theory of Optimal Control Processes, Interscience, New York, 1962

4. C. S. Tapiero, « N-Machines Simultaneous Maintenance, Replacement and Technical Absolescence » Columbia University, 1971.

5. G. L. Thompson, « Optimal Maintenance Policy and Sale Date of a Machine »,Management Science, 1968, 14, 543-550.