1. On average, there are 3(4.42) =13.26 claims waiting be processed.
Problem 8.8
Ri = 3.5 /week
Ri = 3.5/5 = .7 /day
Tp = 1.2 day
Rp = 1/1.2 = .833 /day
a1) Across all districts, on average, how many claims are waiting to be processed.
On average, there are 3(4.42) = claims waiting be processed.

2. A2) what fraction of claims is completed in less than 10 business days
A2) what fraction of claims is completed in less than 10 business days? T≤ 10
Whenever there is no info on CV, assume Poisson Process
In the above example with utilization = 0.84
Suppose we check the claim processor at 100 random times.
On average on how many times is s/he processing a claim?
84% one customer, 16% no customer.
On average .84 customer are in the server.
In a single server ρ customer are served, in multi server cρ customers

3. We can reach the same conclusion using the Little’s law

4. We need to compute T: Average time in the system
A2) what fraction of claims is completed in less than 10 business days? T≤ 10
We need to compute T: Average time in the system
Alternatively

5. Three Servers, Poisson Process
Combined
Individual

6. b) One Server, Reduced Cp from 1 to .5
Rduction is service time variability, improves the probability from 73.6% to 86%