In a centre code system using consistent hashing with bounded loads, if the load factor is 1.25 and there are 8 servers, what is the maximum number of codes a single server can handle if total codes = 1000?
156
156 is correct.
In consistent hashing with bounded loads, no server may hold more than (load factor) times the average load.
Average load per server: \(\dfrac{1000}{8} = 125\) codes.
Upper bound per server: \(1.25 \times 125 = 156.25\) codes.
A server can only hold a whole number of codes, and it must stay within the bound of 156.25, so it can handle at most 156 codes.
Hence, the maximum number of codes a single server can handle is 156.
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