In the following scenario:

There are C servers providing service for a number of customers. The ideally
required server of the customer is M. That is,

1.  if there are more than M idle servers upon the customer arrival, then M
server is assigned for the customer.
2. If the number of free server is less than M, then all these free channels
are assigned to the customer.
3. As all server are occupied upon the arrival, one server will be drawn
from a specific customer, which is currently using more than 2 servers.
Then, assign the freed server for the new customer arrival and the specific
customer's speed is lowered.

I am wondering how to determine the specific customer to minimize the number
of rejected customers (or minimize the average service time).



Which math tools should be used? Any comments are greatly appreciated. Plz
give some tips or links or the technique to solve this.

Thanks and Best Regards


--
ZHANG Yan
http://www.ntu.edu.sg/home5/pg01308021


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