WORKSHOP on Asymptotic Statistics and Its
Applications to Survival Analysis and Reliability in Honor
of Ildar Ibragimov
IEEE 2007 - International Conference on
Industrial Engineering and Engineering Management, singapore,
december 2-5, 2007
The 7th International Conference
RELIABILITY and STATISTICS in TRANSPORTATION and
COMMUNICATION (RelStat’07)
24-27 October 2007. Riga, Latvia
B. Dimitrov, G. Hayrapetyan,
and P. Stanchev
Aging and Longevity Control of Biological
Systems via Drugs – a Reliability Model
The treatments in bio-systems correspond to respective
repairs known in reliability. Some treatments may make
the biological objects younger; others may make them
older, or not deteriorate their current age. Such kind
of “maintenance” has some analogous failure/repair
models in reliability. We use it to incorporate some
results of reliability and bio modeling for the
quantitative studies of the aging and resistance of
bio-systems to environmental stress factors. We call
“calendar age” the age of a bio-object which does not
use treatments, or uses it without age improvement, or
deterioration. All bio-objects, which are using
treatments of same strength and direction of effect,
have “virtual age”. We explain here what the virtual age
is, and how is it related to age correcting factors. We
illustrate our common results about the virtual ages on
the example of the Gompertz-Makenham law of mortality,
and discuss the relations of the longevity, mechanism of
aging and age affecting control. As a consequence, a
concept of age determination is proposed. Numeric and
graphical examples are provided.
A.
Krishnamorthy, Vishwanath C. Narayanan, T. G. Deepak
MAXIMIZATION OF RELIABILITY OF A
k-OUT-OF-n SYSTEM WITH REPAIR BY A FACILITY ATTENDING
EXTERNAL CUSTOMERS IN A RETRIAL QUEUE
V.M. Abramov
CONFIDENCE INTERVALS ASSOCIATED WITH
PERFORMANCE ANALYSIS OF SYMMETRIC LARGE CLOSED CLIENT/SERVER
COMPUTER NETWORKS
The paper studies a closed queueing network containing a
server station and k identical client stations. The
client stations are subject to breakdowns, and a
lifetime of each client station is assumed to be a
random variable independent of all other ones having the
probability distribution G(x) .
G.Sh. Tsitsiashvili
Narrow places in logical systems with
anreliable elements
In this paper models of logical systems with anreliable
elements are considered [1], [2]. Definitions of narrow
places in these systems are made, algorithms of narrow
places constructions are built. An asymptotic analysis
of work probability (or failure probability) of logical
systems in appropriate asymptotic conditions for a work
probability (or a failure probability) of their elements
is made. All main definitions and algorithms are based
on an idea of a recursive construction of logical models
with anreliable elements.
V.Gh. VODA
A NEW GENERALIZATION OF RAYLEIGH
DISTRIBUTION
In this paper we propose a new generalized Rayleigh
distribution different from that introduced in “Aplikace
Mathematiky” (1976): the construction makes use of the
so-called “conservability approach” (see “Kybernetika”,
1989), namely if X is a positive continuous random
variable with a finite mean-value E(X). The new
generalized Rayleigh variate is obtained using as f (x)
a generalized form of the exponential distribution
introduced by Isaic-Maniu and the present author in 1996
G.A. Fedotova, N.I. Voropai
OPTIMISATION OF RELIABILITY OF POWER
SUPPLY TO CONSUMERS
An approach of solution of the problem of consumers’
power supply reliability is presented. The electric
power systems is assumed operating in a market
environment.
A.V. Bochkov,
I.A. Ushakov
Sensitivity analysis of optimal
counter-terrorism resources allocation under subjective
expert estimates
The problem of optimal resources allocation for
counter-terrorism measures is naturally based on
subjective estimates made by experts in this area. In
the future we will continue the word “optimal
allocation” though in this case it would be more correct
to say about “rational allocation” due to not accurate
mathematical model and unreliable input data.
Nevertheless, dealing with a mathematical model we will
continue to say about “optimal allocation”.
Unreliability of the data is inevitable: there is no
possibility of “experiments” to get, for instance, such
parameters like expected damage of a terrorist act or
level of protection of an object due to using some
defending measures. So, making decision for planning
counter-terrorism operations we are forced to rely on
experts’ opinions that could supply us with extremely
uncertain input data. The objective of this presentation
is analysis of sensitivity of solutions of the optimal
allocation problem under uncertainty of experts’
estimates.
J. Kettelle
When Three's Not a Crowd
From peace treaties to labor contracts: The case for
employing a computerized third party for group
decision-making and negotiations.
I.B. Gertsbakh
MORE ABOUT RIGA’S RELIABILITY SCHOOL
Most outstanding features of Riga’s Reliability School
were its applied orientation and stress on real-life
data statistical analysis. A very important work was the
monograph of Kh. B. Kordonsky and I. Gertsbakh , Models
of Failure, published by Sovietskoe Radio (1966) in the
Engineering Science Library series under B .V. Gnedenko
editorship. It was translated later into English (1969)
and Polish (1970). This book investigates the connection
between the lifetime distribution and failure model
based on wear (fatigue) damage accumulation process. It
stressed the necessity to analyze statistically the wear
processes. Besides, Models of Failure presented a rather
simple estimation approach of the parameters for a large
family of lifetime distributions, and the use of
probabilistic paper. (Normal , Lognormal,
Gnedenko-Weibull).
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ÎÒÇÛÂ ÍÀ ÏÓÁËÈÊÀÖÈÞ Â ÆÓÐÍÀËÅ «RELIABILITY: THEORY &
APPLICATIONS» ÐÅÔÅÐÀÒÈÂÍÎÃÎ ÀÍÀËÈÒÈ×ÅÑÊÎÃÎ ÎÁÇÎÐÀ Â. ØÅÐÀ
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O Ôåäåðàëüíîì çàêîíå «Î òåõíè÷åñêîì ðåãóëèðîâàíèè» è
ïðîáëåìå íàäåæíîñòè ýëåêòðîýíåðãåòè÷åñêèõ ñèñòåì
Êðóèçíî-ïðîãóëî÷íûé êàòåð «Ìèðàæ» (Boat “Mirage”)
