A new performance criterion? Service deviation?

I came across a performance metric the early designers of the cellular systems employed. In their 1978 paper where they define the hybrid channel sharing algorithm, the authors Kahwa and Georganas, make use of the concept of Service Deviation defined in an early paper in 1973.

Defined as the standard deviation of call blocking probabilities of different cells, they took it as a performance metric, and wanted to make it as small as possible.

What is the relevance of this for an operator in data calls? Or across heterogeneous networks? Would it force network operators to cooperate? I will have to think about this.

Possible Mathematical Models

I found three interesting papers.

1. Tonguz and Yanmaz -2008- A mathematical Theory of Dynamic Load Balancing in Cellular Networks.
   
2. Alanyali and Hajek - 1996 - On Load Balancing in Erlang Networks.
3. Bühler and Wunder - 2007 - Optimal Dynamic Admission Control in Heterogeneous Networks.

The first one derives closed form expression for the blocking probability of various load sharing algorithms for cellular networks. The authors themselves mention that this can be a basis for load sharing among heterogeneous networks. Closed form solutions are necessary for dynamically adjusting the system parameters. This seems the most relevant, and I've started reading it.

-360 days. 12 Months.