Mathematical theory of reliability:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, Pa.
Soc. for Industrial and Applied Mathematics
1996
|
| Edition: | Unabridged republication of the first publ. by Wiley 1965 |
| Series: | Classics in applied mathematics
17 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 258 S. graph. Darst. |
| ISBN: | 0898713692 |
Staff View
MARC
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| 100 | 1 | |a Barlow, Richard E. |d 1931- |e Verfasser |0 (DE-588)170529533 |4 aut | |
| 245 | 1 | 0 | |a Mathematical theory of reliability |c Richard E. Barlow ; Frank Proschan |
| 250 | |a Unabridged republication of the first publ. by Wiley 1965 | ||
| 264 | 1 | |a Philadelphia, Pa. |b Soc. for Industrial and Applied Mathematics |c 1996 | |
| 300 | |a XIV, 258 S. |b graph. Darst. | ||
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| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Probabilities | |
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Record in the Search Index
| _version_ | 1805085909849210880 |
|---|---|
| adam_text |
Contents
Preface
to the Classics Edition
xi
Preface
xiii
Acknowledgments
xvii
Chapter
1
Introduction
1
1.
Historical Background of the Mathematical
Theory of Reliability,
1
2.
Definitions of Reliability,
5
Chapter
2
Failure Distributions
9
1.
Introduction,
9
2.
Typical Failure Laws,
12
3.
The Exponential as the Failure Law of
Complex Equipment,
18
4.
Monotone Failure Rates,
22
5.
Preservation of Monotone Failure Rate,
35
6.
Additional Inequalities,
39
7.
General Failure Rates,
41
Chapter
3
Operating Characteristics of Maintenance
Policies
46
1.
Introduction,
46
2.
Renewal Theory,
48
3.
Replacement Based on Age,
61
4.
Comparison of Age and Block Replacement
Policies,
67
5.
Random Replacement,
72
6.
Repair of a Single Unit,
74
vii
viii CONTENTS
Chapter
4
Optimum Maintenance Policies
84
1.
Introduction,
84
2.
Replacement Policies,
85
3.
Inspection Policies,
107
Chapter
5
Stochastic Models for Complex Systems
119
1.
Introduction,
119
2.
Markov Chains and Semi-Markov Processes,
121
3.
Repairman Problems,
139
4.
Marginal Checking,
151
5.
Optimal Maintenance Policies under Markovian
Deterioration,
156
Chapter
6
Redundancy Optimization
162
1.
Introduction,
162
2.
Optimal Allocation of Redundancy Subject to
Constraints,
163
3.
Application to Parallel Redundancy Model,
170
4.
Application to Standby Redundancy Model,
175
5.
Complete Families of Undominated Alloca¬
tions,
180
6.
Optimal Redundancy Assuming Two Types of
Failure,
185
Chapter
7
Qualitative Relationships
for Multicomponent Structures
198
1.
Introduction,
198
2.
Achieving Reliable Relay Circuits,
199
3. Monotonie
Structures,
204
4.
S-shaped Reliability Functions for
Monotonie
Structures,
211
5.
k-out-of-n Structures,
218
6.
Relationship between Structure Failure Rate
and Component Failure Rates,
221
CONTENTS ix
Appendix
1 Total
Positivity
229
Appendix 2 Test
for Increasing Failure Rate
234
Appendix
3
Tables Giving Bounds on Distributions
with Monotone Failure Rate
238
References
243
Index
251 |
| any_adam_object | 1 |
| author | Barlow, Richard E. 1931- Proschan, Frank 1921-2003 |
| author_GND | (DE-588)170529533 (DE-588)172314488 |
| author_facet | Barlow, Richard E. 1931- Proschan, Frank 1921-2003 |
| author_role | aut aut |
| author_sort | Barlow, Richard E. 1931- |
| author_variant | r e b re reb f p fp |
| building | Verbundindex |
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| callnumber-first | T - Technology |
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| callnumber-subject | TA - General and Civil Engineering |
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| ctrlnum | (OCoLC)34473511 (DE-599)BVBBV011050095 |
| dewey-full | 620/.00452/01511820 620/.00452/015118 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
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| dewey-sort | 3620 3452 515118 220 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| edition | Unabridged republication of the first publ. by Wiley 1965 |
| format | Book |
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| id | DE-604.BV011050095 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T08:27:51Z |
| institution | BVB |
| isbn | 0898713692 |
| language | English |
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| physical | XIV, 258 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Barlow, Richard E. 1931- Verfasser (DE-588)170529533 aut Mathematical theory of reliability Richard E. Barlow ; Frank Proschan Unabridged republication of the first publ. by Wiley 1965 Philadelphia, Pa. Soc. for Industrial and Applied Mathematics 1996 XIV, 258 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Classics in applied mathematics 17 1965 Engenharia (confiabilidade) larpcal Modelos matemáticos larpcal Mathematisches Modell Reliabiltiy (Engineering) -- Mathematical models Mathematical statistics Probabilities Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 s DE-604 Statistik (DE-588)4056995-0 s Zuverlässigkeit (DE-588)4059245-5 s 1\p DE-604 Proschan, Frank 1921-2003 Verfasser (DE-588)172314488 aut Reproduktion von New York : Wiley, 1965 0-471-04965-4 (DE-604)BV020000916 Classics in applied mathematics 17 (DE-604)BV008258410 17 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007400492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barlow, Richard E. 1931- Proschan, Frank 1921-2003 Mathematical theory of reliability Classics in applied mathematics Engenharia (confiabilidade) larpcal Modelos matemáticos larpcal Mathematisches Modell Reliabiltiy (Engineering) -- Mathematical models Mathematical statistics Probabilities Zuverlässigkeit (DE-588)4059245-5 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4059245-5 (DE-588)4195525-0 (DE-588)4056995-0 |
| title | Mathematical theory of reliability |
| title_auth | Mathematical theory of reliability |
| title_exact_search | Mathematical theory of reliability |
| title_full | Mathematical theory of reliability Richard E. Barlow ; Frank Proschan |
| title_fullStr | Mathematical theory of reliability Richard E. Barlow ; Frank Proschan |
| title_full_unstemmed | Mathematical theory of reliability Richard E. Barlow ; Frank Proschan |
| title_short | Mathematical theory of reliability |
| title_sort | mathematical theory of reliability |
| topic | Engenharia (confiabilidade) larpcal Modelos matemáticos larpcal Mathematisches Modell Reliabiltiy (Engineering) -- Mathematical models Mathematical statistics Probabilities Zuverlässigkeit (DE-588)4059245-5 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Engenharia (confiabilidade) Modelos matemáticos Mathematisches Modell Reliabiltiy (Engineering) -- Mathematical models Mathematical statistics Probabilities Zuverlässigkeit Zuverlässigkeitstheorie Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007400492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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