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Claims Processing and Completion Analysis

This analysis examines the number of claims waiting to be processed, fraction of claims completed in less than 10 business days, and the impact of server variability on completion rates.

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Claims Processing and Completion Analysis

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  1. 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) =13.26 claims waiting be processed.

  2. 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. 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%

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