Ø
 ØConsider the matrix Qv, whose entries are the measured QoS values r≥0 over links (i,j) whenever such a link
 exists, or otherwise have an initial value, e.g. +∞ for delay and variance or
 0 for bandwidth.
ØThe matrix Kv provides us with the ``best QoS value'' for
 every path between every pair of vertices (i,j).
 Ø
 Ø     or
 Ø
 ØWhere the operator        between two real valued matrices B, C
 is defined as
 Ø                                                                                 
 
 Ø The operator        
 between two QoS parameters depends on the QoS metric that is being considered
 and can be the addition (+) for delay and variance, the minimum (min) for
 bandwidth etc. The        is also an
 operator that depends on the specific QoS metric q, and selects the
 ``best value'' among the elements on which it operates, e.g. in case of the
 delay, loss or variance metric it will obtain the minimum value, while
 for bandwidth it will select the maximum value, for all paths going from i to j.