On the Use of Stochastic Processes in Modeling Reliability Problems
Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes wit...
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| Sprache: | English |
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Springer Berlin Heidelberg
1985
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| Ausgabe: | 1st ed. 1985 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
252 |
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| 245 | 1 | 0 | |a On the Use of Stochastic Processes in Modeling Reliability Problems |c by Alessandro Birolini |
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| 520 | |a Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes with a finite state space, to which belong: renewal processes, Markov processes, semi-Markov processes, and more general regenerative processes with only one (or a few) regeneration staters). The object of this monograph is to review these processes and to use them in solving some reliability problems encountered in practical applications. Emphasis is given to a comprehensive exposition of the analytical procedures, to the limitations in volved, and to the unification and extension of. the models known in the literature. The models investigated here assume. that systems have only one repair crew and that no further failure can occur at system down. Repair and failure rates are general ized step-by-step, up to the case in which the involved process is regenerative with only one (or a few) regeneration state(s). Investigations deal with different kinds of reliabilities and availabilities for series/parallel structures. Preventive main tenance and imperfect switching are considered in some examples | ||
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Datensatz im Suchindex
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| author | Birolini, Alessandro |
| author_facet | Birolini, Alessandro |
| author_role | aut |
| author_sort | Birolini, Alessandro |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV046871839 |
| classification_rvk | QH 237 SI 853 |
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| ctrlnum | (ZDB-2-SBE)978-3-642-46553-6 (OCoLC)863937611 (DE-599)BVBBV046871839 |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.40301 |
| dewey-search | 658.40301 |
| dewey-sort | 3658.40301 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-46553-6 |
| edition | 1st ed. 1985 |
| format | Electronic eBook |
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| index_date | 2024-07-03T15:15:36Z |
| indexdate | 2024-07-10T08:56:08Z |
| institution | BVB |
| isbn | 9783642465536 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032281971 |
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| publishDate | 1985 |
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| series2 | Lecture Notes in Economics and Mathematical Systems |
| spelling | Birolini, Alessandro Verfasser aut On the Use of Stochastic Processes in Modeling Reliability Problems by Alessandro Birolini 1st ed. 1985 Berlin, Heidelberg Springer Berlin Heidelberg 1985 1 Online-Ressource (VI, 105 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 252 Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes with a finite state space, to which belong: renewal processes, Markov processes, semi-Markov processes, and more general regenerative processes with only one (or a few) regeneration staters). The object of this monograph is to review these processes and to use them in solving some reliability problems encountered in practical applications. Emphasis is given to a comprehensive exposition of the analytical procedures, to the limitations in volved, and to the unification and extension of. the models known in the literature. The models investigated here assume. that systems have only one repair crew and that no further failure can occur at system down. Repair and failure rates are general ized step-by-step, up to the case in which the involved process is regenerative with only one (or a few) regeneration state(s). Investigations deal with different kinds of reliabilities and availabilities for series/parallel structures. Preventive main tenance and imperfect switching are considered in some examples Operations Research/Decision Theory Operations research Decision making Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Betriebssicherheit (DE-588)4145063-2 gnd rswk-swf Reliabilität (DE-588)4213628-3 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Mathematisches Modell (DE-588)4114528-8 s Reliabilität (DE-588)4213628-3 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Zuverlässigkeit (DE-588)4059245-5 s Zuverlässigkeitstheorie (DE-588)4195525-0 s Betriebssicherheit (DE-588)4145063-2 s Erscheint auch als Druck-Ausgabe 9783540156994 Erscheint auch als Druck-Ausgabe 9783642465543 https://doi.org/10.1007/978-3-642-46553-6 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Birolini, Alessandro On the Use of Stochastic Processes in Modeling Reliability Problems Operations Research/Decision Theory Operations research Decision making Zuverlässigkeit (DE-588)4059245-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Betriebssicherheit (DE-588)4145063-2 gnd Reliabilität (DE-588)4213628-3 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4059245-5 (DE-588)4057630-9 (DE-588)4145063-2 (DE-588)4213628-3 (DE-588)4195525-0 (DE-588)4114528-8 (DE-588)4113937-9 |
| title | On the Use of Stochastic Processes in Modeling Reliability Problems |
| title_auth | On the Use of Stochastic Processes in Modeling Reliability Problems |
| title_exact_search | On the Use of Stochastic Processes in Modeling Reliability Problems |
| title_exact_search_txtP | On the Use of Stochastic Processes in Modeling Reliability Problems |
| title_full | On the Use of Stochastic Processes in Modeling Reliability Problems by Alessandro Birolini |
| title_fullStr | On the Use of Stochastic Processes in Modeling Reliability Problems by Alessandro Birolini |
| title_full_unstemmed | On the Use of Stochastic Processes in Modeling Reliability Problems by Alessandro Birolini |
| title_short | On the Use of Stochastic Processes in Modeling Reliability Problems |
| title_sort | on the use of stochastic processes in modeling reliability problems |
| topic | Operations Research/Decision Theory Operations research Decision making Zuverlässigkeit (DE-588)4059245-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Betriebssicherheit (DE-588)4145063-2 gnd Reliabilität (DE-588)4213628-3 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Operations Research/Decision Theory Operations research Decision making Zuverlässigkeit Stochastischer Prozess Betriebssicherheit Reliabilität Zuverlässigkeitstheorie Mathematisches Modell Hochschulschrift |
| url | https://doi.org/10.1007/978-3-642-46553-6 |
| work_keys_str_mv | AT birolinialessandro ontheuseofstochasticprocessesinmodelingreliabilityproblems |