By MSC location update timer do you mean Detach Timer? If yes then MSC will explicitly detach the MS before it makes a periodic location update as set by T3212 timer in BSC. MS wont be able to receive any paging till it makes a LU (periodic or LAC change).
im asking if any one tell me whats the mathmatical models which i can use them for the location management of movement & time and distance location update , if i want to run matlab software>
this is a radio parameter that is transmitted in the BCCH. and changing this timer can have a big impact on the radio load. for this reason, the timer is set at BSS level, not NSS.
with all due respect : why do you question 3GPP implementation ?
the point of GSM engineering is to go along with the 3GPP rules, otherwise you’ll spend too much time complaining and little time actually optimizing :))