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Contents Telektronikk - Telenor

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- Individual losses in the same transit<br />

route do not differ. This is clearly an<br />

approximation that follows from the<br />

simple splitting rule applied above. It<br />

should be more important, however, to<br />

be able to detect varying losses between<br />

different basic nodes and between<br />

subgroups of nodes. The Split<br />

Traffics Calculation may be a useful<br />

method to attain this.<br />

- Though the network considered above<br />

is a very simple one it seems that<br />

point-to-point losses can be estimated<br />

by similar means for several ‘nice’<br />

structures of hierarchical routing. It<br />

must be remembered, however, that<br />

the last choice route (the backbone<br />

route) should consist of low loss links<br />

only.<br />

- From the viewpoint of point-to-point<br />

losses there are certainly many ‘not so<br />

nice’ topologies and routing principles<br />

that remain to be studied. Non-hierarchical<br />

routing is indeed an area of<br />

intriguing problems of that kind. Possibly<br />

the more general results given in<br />

[9] may be of some help.<br />

Acknowledgements<br />

I am most grateful to Prof. A. Myskja of<br />

the University of Trondheim for putting<br />

the question leading to the study [9] and<br />

then supplying ideas for the present<br />

paper. Also I would like to thank my colleagues<br />

Prof. U. Körner and Dr. L.<br />

Reneby of the Lund Institute of Technology<br />

for helpful discussions and proof<br />

reading.<br />

References<br />

1 Brockmeyer, E. The simple overflow<br />

problem in the theory of telephone<br />

traffic, (in Danish). Teleteknik, 5(4),<br />

1954.<br />

2 Kelly, F P. Reversibility and stochastic<br />

networks. John Wiley & Sons,<br />

1979.<br />

3 Kosten, L. Über Sperrungswahrscheinlichkeiten<br />

bei Staffelschaltungen.<br />

Elektr. Nachr.-Techn., 14(1),<br />

1937.<br />

4 Körner, U. Congestion control in<br />

packet switching computer communication<br />

networks, (thesis). Department<br />

of Communication Systems, Lund<br />

Institute of Technology, Sweden.<br />

Lund, 1982.<br />

5 Myskja, A. A study of telephone traffic<br />

arrival processes with focus on<br />

non-stationary cases, (thesis). The<br />

University of Trondheim, 1981.<br />

6 Reneby, L. Service protection and<br />

overflow in circuit switched network,<br />

(thesis). Technical report, 107, 1991.<br />

Department of Communication Systems,<br />

Lund Institute of Technology,<br />

Sweden.<br />

7 Wallström, B. Congestion studies in<br />

telephone systems with overflow<br />

facilities, (thesis). Ericsson Technics,<br />

22(3), 1976.<br />

8 Wallström, B, Reneby, L. On individual<br />

losses in overflow systems. I:<br />

9th international teletraffic congress,<br />

ITC 9, Torremolinos, 1979.<br />

9 Wallström, B. Joint state distributions<br />

of partial traffics. I: 10th Nordic<br />

teletraffic seminar, NTS 10, Århus,<br />

1992.<br />

10 Wilkinson, R I. Theories for toll traffic<br />

engineering in the USA. Bell system<br />

technical journal, 35(2),<br />

421–514, 1956.<br />

81

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