Can Terminal Teletraffic Theory Be Liberated from the Main Illusions Stoyan A' Poryazov

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Can Terminal Teletraffic Theory Be Liberatedfrom
the Main Illusions?Stoyan A. Poryazov
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• Abstract
• Detailed conceptual and analytical models of an
  overall circuit switching telecommunication
  system (like GSM and PSTN) are created Results
  of numerical experiments presented, show that the
  next usual premises are illusions
• 1. Call Holding Time is independent from the
  state of the system
• 2. Occupation times for calling (A) and called
  (B) terminals differ a little
• 3. Traffic intensities of A and B-terminals are
  almost equal.
• The only way to liberate ourselves from the main
  old illusions is to develop and use Network and
  Terminal Traffic Models of the overall real
  communication systems.
• In this paper one of possible approaches is
  demonstrated.

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The Conceptual Model
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. Traffic intensities of the A-terminals (Ya)
and B-terminals (Yb) as functions of the
intensity of the overall terminal traffic (Yab).
Ns is the number of available internal switching
lines.
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Mean occupation time of the A-terminals (Ta),
B-terminals (Tb) and all simultaneously busy
terminals (Tab) as functions of the intensity of
the overall terminal traffic (Yab).
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Relative difference, in percents, between
traffic intensity of A and B terminals (Ya-Yb)
mean occupation times of A and B terminals
(Tb-Ta) Mean occupation time of the B-terminals
and all simultaneously busy terminals (Tb-Tab),
as functions of the intensity of the overall
terminal traffic (Yab).
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Conclusions

• 1. Detailed conceptual and analytical models of a
  overall (virtual) circuit switching
  telecommunication system are created
• 2. Results of numerical experiments presented,
  show considerable differences between
  correspondent time and traffic characteristics of
  A and B-terminals in the modeled system. The
  values of the relative difference between
  intensity of traffics of A and B-terminals
  ((Ya-Yb)/Ya) are in the interval from 10.7 to
  100, and between occupation times ((Tb-Ta)/Ta)
  from 0.578 to 627.9

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Conclusions (continuation)

• 3. The usual premise that Call Holding Time is
  independent from the state of a (virtual) circuit
  switching telecommunication system (like GSM and
  PSTN) is wrong
• 4. The habitual mathematical trick - to use
  service duration as a Time Unit must be
  reconsidered for its applicability in Network and
  Terminal Teletraffic Theory
• 5. Described phenomena in terminal time and
  traffic characteristics are emerging on network
  level. Therefore, the only way to liberate
  ourselves from the main old illusions is to
  develop and use Network and Terminal Traffic
  Models of the overall real communication systems

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Conclusions (continuation)

• 6. In this paper one of possible approaches is
  demonstrated, which may allows developing the
  Network and Terminal Teletraffic Theory and
  helping in determination of many network
  characteristics at call and session levels, in
  performance evaluation of the present and next
  generation fixed and mobile networks.
• 7. This approach may be used directly for every
  (virtual) circuit switching telecommunication
  system (like GSM and PSTN) and may help
  considerably for ISDN, BISDN and most of core and
  access networks traffic modelling. For packet
  switching systems, like Internet, proposed
  approach may be used as a comparison base.