As a summary, we present here charts of the teletraffic models covered in this book in order to show the interdependency of the models, as well as when (under what conditions, i.e., changes of their parameters) a transition from one teletraffic model to another occurs, in other words, when each model should be used.

The following parameters/symbols are included in the charts of Figures A.1, A.2, and A.3:

The th + 1 contingency bandwidth requirement of service‐class

The th retry bandwidth of service‐class

System capacity

Virtual capacity when the system is in state OFF

The th threshold of service‐class

The th threshold of the system, common to all service‐classes

The th service‐class

Number of adaptive service‐classes

Number of elastic service‐classes

Maximum number of in‐service calls of service‐class

Number of in‐service calls of service‐class

Virtual system capacity

Trunk/bandwidth reservation parameter for service‐class

Probability of a service‐class call to pass from an ON to an OFF state

BP‐EA‐EMLM/BR

Elastic adaptive Erlang multirate loss model with batched Poisson arrivals under the bandwidth reservation policy

BP‐EA‐EMLM

Elastic adaptive Erlang multirate loss model with batched Poisson arrivals

BP‐E‐EMLM/BR

Elastic Erlang multirate loss model with batched Poisson arrivals under the bandwidth reservation policy

BP‐E‐EMLM

Elastic Erlang multirate loss model with batched Poisson arrivals

BP‐EMLM/BR

Erlang multirate loss model with batched Poisson arrivals under the bandwidth reservation policy

BP‐EMLM/TH

Erlang multirate loss model with batched Poisson arrivals under the threshold policy

BP‐EMLM

Erlang multirate loss model with batched Poisson arrivals

BR

Bandwidth reservation

CDTM/BR

Connection dependent threshold model under the bandwidth reservation policy

CDTM

Connection dependent threshold model

EA‐EMLM/BR

Elastic adaptive Erlang multirate loss model under the bandwidth reservation policy

EA‐EMLM/TH

Elastic adaptive Erlang multirate loss model under the threshold policy

EA‐EMLM

Elastic adaptive Erlang multirate loss model

EA‐EnMLM/BR

Elastic adaptive Engset multirate loss model under the bandwidth reservation policy

EA‐EnMLM

Elastic adaptive Engset multirate loss model

E‐EMLM/BR

Elastic Erlang multirate loss model under the bandwidth reservation policy

E‐EMLM/TH

Elastic Erlang multirate loss model under the threshold policy

E‐EMLM

Elastic Erlang multirate loss model

E‐EnMLM/BR

Elastic Engset multirate loss model under the bandwidth reservation policy

E‐EnMLM

Elastic Engset multirate loss model

EMLM/BR

Erlang multirate loss model under the bandwidth reservation policy

EMLM/TH

Erlang multirate loss model under the threshold policy

EMLM

Erlang multirate loss model

EnMLM/BR

Engset multirate loss model under the bandwidth reservation policy

EnMLM/TH

Engset multirate loss model under the threshold policy

EnMLM

Engset multirate loss model

f‐CDTM/BR

Finite connection dependent threshold model under the bandwidth reservation policy

f‐CDTM

Finite connection dependent threshold model

f‐ON‐OFF

Finite ON–OFF multirate loss model

ON–OFF/BR

ON–OFF multirate loss model under the bandwidth reservation policy

ON–OFF

ON–OFF multirate loss model

TH

Threshold

Note:

• From a model of Part II (Figure A.2), we can obtain the corresponding model of Part I (Figure A.1) by assuming that for all .
• Figure A.3 shows the basic connection between the models of Part III and the models of Part I (Figure A.1) through the BP‐EMLM and EMLM.
• Based on Figures A.1, A.2, and A.3, we can see some missing teletraffic models, i.e., models which are not included in this book. The reason is twofold: the missing model can be readily conceived by the reader (e.g., the missing model “elastic adaptive finite retry model”, can be obtained from the “elastic adaptive retry model”), or/and the accuracy of the missing model is not satisfactory within a typical range of offered traffic load (e.g., the missing model “f‐ON‐OFF/BR” can be obtained from the “f‐ON‐OFF”, when ).