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replacement strategy maximizing the average income; time-stationary replacement strategies

References:

[1] C. Derman: **On optimal replacement rules when changes of state are markovian**. in: Mathematical optimization techniques (R. Bellman ed.) Project Rand Report, April 1963. Zbl 0173.46702

[2] C. Derman: **Finite State Markovian Decision Processes**. Mathematics in Science and Engineering, vol. 67, Academic Press, New York and London (1970). MR 0267686 | Zbl 0262.90001

[3] R. A. Kasumu: **On optimal replacement policy**. (1980) - unpublished.

[4] P. Kolesar: **Minimum cost replacement under markovian deterioration**. Manag. Sci., vol. 12, No. 9, May (1966), 694-706. DOI 10.1287/mnsc.12.9.694 | MR 0195592 | Zbl 0204.20002

[5] A. Lešanovský: **On dependences of the expected income of a system on its initial state**. to appear in IEEE Transactions on Reliability.

[6] A. Lešanovský: **On optimal replacement policy II**. to appear in Proceedings of the Third Pannonian Symposium on Mathematical Statistics, Visegrád (1982). MR 0759011

[7] A. Lešanovský: **Some remarks on the paper by P. Kolesar "Minimum cost replacement under markovian deterioration"**. to appear in Management Science.

[8] A. Lešanovský: **Comparison of two replacement policies**. to appear in Proceedings of the Fourth Pannonian Symposium on Mathematical Statistics, Bad Tatzmannsdorf (1983). MR 0855381

[9] D. B. Rosenfield: **Deteriorating Markov processes under uncertainty**. Technical report No. 162, May (1974), Dept. of operations research and Dept. of statistics Stanford University, Stanford, California.

[10] S. Ross: **Arbitrary state markovian decision processes**. Ann. Math. Stat. 39 (1968), 2118 to 2122. DOI 10.1214/aoms/1177698041 | MR 0242313 | Zbl 0179.24704