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)
50
The servicing of a technical object (equipment) –
Figure 2 – is understood as any treatment, which
results in restoring the object’s state of availability
(operational). Servicing may consist in a repair of
equipment or in its inspection, replacement of the
entire equipment with a new one or in replacement
of damaged components with new ones. Parameters
characterising the equipment at servicing must
ensure that it is operational, although they may differ
from a new object (in particular this refers to defects
intensity).
An inspection, maintenance and condition control
are comprised (apart from a repair) by so-called
technical service of equipment, which is opposite to
its use.
To prevent adverse effects of unpredicted defects
(failures), equipment which is still in the state of
availability (operational) is subject to servicing.
Such servicing is named preventive and
distinguished from emergency servicing.
Figure 2. Servicing of a technical object
Properties of any system (in the case considered,
of a transport traffic control system) indicate that
such system, from the point of view of its servicing,
may be presented (on certain level of generality) as a
set of states of using, repair and inspection (Fig. 3).
When analysing this diagram, the state of
availability (initial) and the state of effective control
(system transition between the basic state and the
control state under influence of introduction of
control command and after execution of the control
task) may be distinguished within the state of using.
But in servicing it is most important to distinguish
the state of repair and inspection.
Classification of servicing optimisation models,
both in respect of individual devices and systems,
also because of using appropriate mathematical
methods, such as inter alia linear and non-linear
programming, dynamic programming, but first of all
Markov models.
Game theory and stochastic processes theory,
mainly of Markov processes, are used to model the
process of technical objects operation (Koźniewska
& Włodarczyk 1978). Mass servicing theory
(referred to also as queuing theory) is strongly
related to technology and its development resulted
from practical demands.
In general form each queuing system may be
presented using a block diagram (Fig. 4).
(starting)
(initial)
Basic state
of control
of repair
of inspection
System switching off
control
of using
Figure 3. States of the transport traffic control system
Intensity of
requests stream
Intensity of
servicing
stream
Figure 4. Block diagram of a queuing system
A queuing system may be described using three
basic characteristics:
− Stream of requests – this is a statistical
description of process of requests arriving at the
system,
− Process of servicing – defines the process of
requests servicing performance,
− Queue regulation (discipline) – defines the
method of selecting the next request to be
serviced, if there is a queue in the system.
The case when these variables are subject to
exponential distribution is of great practical
importance.
The stream of requests is a statistical description
of the process of requests arrival at the servicing
system. It is usually described using distribution
functions for intervals between consecutive requests.
If this stream does not show variability, these
intervals are constant and the stream itself is of
deterministic nature. But if requests are arriving at
the system at random, then these intervals are a
random variable and then the function of their
distribution should be defined (Filipowicz 1997).
The following denotations are used:
Maintaining object’s functioning
Actions aimed at
reduction of defect probability:
Restoring object’s functioning
Actions carried out after defect’s emerging, to
restore required object’s function: