Homework_3_Managing Uncertainty

Homework_3_Managing Uncertainty - The amount of time in...

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1 311 Operations Management Spring 2009 Homework # 3: Managing Uncertainty Due March 3, 2009 1. (20 pts.; 5 points per part) Problem 1. Page 300 in the text book. 2. (20 pts.; 5 points per part) Problem 21. Page 303 in the text book. 3. (20 pts.; 10 points per part) You are working at a bank and doing resource requirements planning. You think that there should be six tellers working in the bank. Tellers take 15 minutes per customer with a standard deviation of 5 minutes. On average one customer arrives in every three minutes according to an exponential distribution (recall that the standard deviation is equal to the mean). a) On average how many customer would be waiting in line? b) On average how long would a customer spend in the bank? 4. (40 pts; 5 points per part) Consider a call center that employs 8 agents. Past data collected on the customer inter-arrival times has shown that the mean time between customer arrivals is 1 minute, and has a standard deviation of ½ minute.
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Unformatted text preview: The amount of time in minutes the past 10 callers have spent talking to an agent is as follows: 4.1, 6.2, 5.5, 3.5, 3.2, 7.3, 8.4, 6.3, 2.6, 4.9. a) What is the coefficient of variation for the inter-arrival times? b) What is the mean time a caller spends talking to an agent? c) What is the standard deviation of the time a caller spends talking to an agent? d) What is the coefficient of variation for the times a caller spends talking to an agent? e) What is the expected number of callers on hold, waiting to talk to an agent? f) What is the expected number of callers either on hold or talking to an agent? g) What is the expected amount of time a caller must wait to talk to an agent? h) What is the expected amount of time between when a caller first arrives to the system, and when that caller finishes talking to an agent?...
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This note was uploaded on 03/31/2009 for the course BUAD 311 taught by Professor Vaitsos during the Fall '07 term at USC.

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