Overview

The consecutive-k system was first studied around 1980, and it soon became a very popular subject. The reasons were many-folded, includ­ ing: 1. The system is simple and natural. So most people can understand it and many can do some analysis. Yet it can grow in many directions and there is no lack of new topics. 2. The system is simple enough to become a prototype for demonstrat­ ing various ideas related to reliability. For example, the interesting concept of component importance works best with the consecutive-k system. 3. The system is supported by many applications. Twenty years have gone and hundreds of papers have been published on the subject. This seems to be a good time for retrospect and to sort the scattered material into a book. Besides providing our own per­ spective, the book will also serve as an easy reference to the numerous ramifications of the subject. It is hoped that a summary of work in the current period will become the seed of future break-through.

Full Product Details

Author:   Chung In-Hang ,  Lirong Cui ,  F.K. Hwang
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2000
Volume:   4
Dimensions:   Width: 16.00cm , Height: 1.20cm , Length: 24.00cm
Weight:   0.368kg
ISBN:  

9781461379720

ISBN 10:   1461379725
Pages:   212
Publication Date:   17 September 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction.- 1.1 The consecutive system and generalizations.- 1.2 The problems and the methodologies.- 1.3 Notation.- 2. Computation of Reliability.- 2.1 Recursive equations.- 2.2 The matrix approach.- 2.3 The combinatorial approach.- 2.4 Bounds and approximations.- 3. Design of Optimal Consecutive Systems.- 3.1 Optimal consecutive-2 systems.- 3.2 Invariant consecutive-k systems.- 3.3 The Birnbaum importance.- 3.4 Half-line importance.- 3.5 The combinatorial importance and the rare-event importance.- 3.6 Consecutive-k G system.- 4. The Lifetime Distribution.- 4.1 Mean time to failure.- 4.2 Estimation of Parameters.- 4.3 Increasing failure rate preservation.- 4.4 IFR property for k ? 4.- 5. Asymptotic Analysis.- 5.1 Elementary method.- 5.2 Generating function method.- 5.3 Poisson convergence method.- 5.4 The dependence models.- 5.5 Distribution for exchangeable lifetimes.- 6. Window Systems.- 6.1 The k-within-consecutive-m-out- of-n system.- 6.2 The (2, m, n) system.- 6.3 b-Fold-window systems.- 6.4 Asymptotic analysis.- 7. The Network Model.- 7.1 The linear consecutive-2 network system.- 7.2 Connectivity and hamiltonian reliability.- 7.3 The reversible model.- 7.4 The k ? 3 case.- 8. Consecutive-2 Graphs.- 8.1 Reliabilities of consecutive-2 graphs.- 8.2 Optimal consecutive-2 graphs: general theory.- 8.3 Invariant d-nary trees.- 8.4 Other consecutive-2 graphs.- 8.5 The 2-dimensional case.- 9. Some Related Systems.- 9.1 Consecutively connected systems.- 9.2 Multi-failure consecutive systems.- 9.3 Redundant consecutive-k systems.- 9.4 Weighted consecutive systems.- 10. Applications.- 10.1 Examples of modelings.- 10.2 Application examples with computations.- References.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions