Ë Let u be a new user requesting
 admission for a connection from source s to destination d carrying a traffic rate X and with QoS constraint qv(u). Suppose also that the
 network is currently carrying other users z, any one of which will be generically
 represented by some QoS constraint qw(z).
 ØFind the set of known paths P(s,d). If it is empty, send SPs
 to discover paths. If unsuccessful, reject the request. Otherwise send probe
 traffic at rate x along the network.
 ØUse the probe traffic to obtain                for each QoS metric w of
 interest, including w=v, and for all concerned links (i,j). Some links will not be concerned by the probe
 traffic so for that links we take                     . 
 ØThen compute                                                        
 for all concerned links and all QoS metrics. For unconcerned links we
 take                                 
 .
 ØCompute        
 from         (to be detailed
 below) for all the QoS metrics of interest, including v. 
 ØIf                                                                              
 for all other current users z with source-destination pair (s',d') and QoS metric qv, then accept u; else reject the request.