| Title:
|
A note on the optimal replacement policy (English) |
| Author:
|
Lešanovský, Antonín |
| Author:
|
Pěnička, Petr |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
28 |
| Issue:
|
5 |
| Year:
|
1983 |
| Pages:
|
330-334 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
conditions of replacements |
| Keyword:
|
replacement policy |
| MSC:
|
60K10 |
| MSC:
|
90B25 |
| idZBL:
|
Zbl 0525.60094 |
| DOI:
|
10.21136/AM.1983.104044 |
| . |
| Date available:
|
2008-05-20T18:22:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104044 |
| . |
| Reference:
|
[1] C. Derman: Denumerable state Markovian decision processes - Average cost criterion.Ann. Math. Stat. 37 (1966), 1545-1553. Zbl 0144.43102, MR 0207138, 10.1214/aoms/1177699146 |
| Reference:
|
[2] R. A. Kasumu A. Lešanovský: On optimal replacement policy.Apl. mat. 28 (1983), 317-329 MR 0712909 |
| Reference:
|
[3] A. Lešanovský: On dependences of the expected income of a system on its initial state.to appear in IEEE Transactions on Reliability. |
| Reference:
|
[4] A. Lešanovský: On optimal replacement policy II.to appear in Proc. of the 3rd Pannonian Symp. on Mathematical Statistics, Visegrád (1982). MR 0759011 |
| . |
