# Square6 one possible approach use historical data

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square6 One possible approach: use historical data that have been reserved for validation purposes only . square6 Criteria: use the main system responses of interest.

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6 11 Bank Example [Validate I-O Transformation] square6 Example: One drive-in window serviced by one teller, only one or two transactions are allowed. box2 Data collection: 90 customers during 11 am to 1 pm. square6 Observed service times {S i , i = 1,2, …, 90} . square6 Observed interarrival times {A i , i = 1,2, …, 90} . box2 Data analysis let to the conclusion that: square6 Interarrival times: exponentially distributed with rate λ = 45 square6 Service times: N(1.1, 0.2 2 ) 12 The Black Box [Bank Example: Validate I-O Transformation] square6 A model was developed in close consultation with bank management and employees square6 Model assumptions were validated square6 Resulting model is now viewed as a “black box”: Input Variables Possion arrivals λ = 45/hr: X 11 , X 12 , … Services times, N(D 2 , 0.22): X 21 , X 22 , … D 1 = 1 (one teller) D 2 = 1.1 min (mean service time) D

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• Spring '12
• abraham
• Null hypothesis, Statistical hypothesis testing, Verification, Verification and validation, Validation

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