A note on the optimal replacement policy

Antonín Lešanovský; Petr Pěnička

Aplikace matematiky (1983)

  • Volume: 28, Issue: 5, page 330-334
  • ISSN: 0862-7940

Abstract

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A system with a single activated unit, which can be in a finite number of states, is considered. Inspections of the system are carried out at discrete time instants. It is possible to replace it by a new one at these moments. The user of the system, by setting down conditions of replacements, wants to maximize his gain, which does not include the rest value of units. On a numerical example it is shown that the frequency of replacements of the unit need not be the greater the longer is the period of its exploitation.

How to cite

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Lešanovský, Antonín, and Pěnička, Petr. "A note on the optimal replacement policy." Aplikace matematiky 28.5 (1983): 330-334. <http://eudml.org/doc/15312>.

@article{Lešanovský1983,
abstract = {A system with a single activated unit, which can be in a finite number of states, is considered. Inspections of the system are carried out at discrete time instants. It is possible to replace it by a new one at these moments. The user of the system, by setting down conditions of replacements, wants to maximize his gain, which does not include the rest value of units. On a numerical example it is shown that the frequency of replacements of the unit need not be the greater the longer is the period of its exploitation.},
author = {Lešanovský, Antonín, Pěnička, Petr},
journal = {Aplikace matematiky},
keywords = {conditions of replacements; replacement policy; conditions of replacements; replacement policy},
language = {eng},
number = {5},
pages = {330-334},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the optimal replacement policy},
url = {http://eudml.org/doc/15312},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Lešanovský, Antonín
AU - Pěnička, Petr
TI - A note on the optimal replacement policy
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 5
SP - 330
EP - 334
AB - A system with a single activated unit, which can be in a finite number of states, is considered. Inspections of the system are carried out at discrete time instants. It is possible to replace it by a new one at these moments. The user of the system, by setting down conditions of replacements, wants to maximize his gain, which does not include the rest value of units. On a numerical example it is shown that the frequency of replacements of the unit need not be the greater the longer is the period of its exploitation.
LA - eng
KW - conditions of replacements; replacement policy; conditions of replacements; replacement policy
UR - http://eudml.org/doc/15312
ER -

References

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  1. C. Derman, 10.1214/aoms/1177699146, Ann. Math. Stat. 37 (1966), 1545-1553. (1966) Zbl0144.43102MR0207138DOI10.1214/aoms/1177699146
  2. R. A. Kasumu A. Lešanovský, On optimal replacement policy, Apl. mat. 28 (1983), 317-329 (1983) MR0712909
  3. A. Lešanovský, On dependences of the expected income of a system on its initial state, to appear in IEEE Transactions on Reliability. 
  4. A. Lešanovský, On optimal replacement policy II, to appear in Proc. of the 3rd Pannonian Symp. on Mathematical Statistics, Visegrád (1982). (1982) MR0759011

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