Case Problem 2: Office Equipment

986 Words Nov 25th, 2010 4 Pages
Case Problem 2: Office Equipment, Inc. 1. l = 1 llamada/50 hours = 0.02 calls per hour 2. Mean service time = travel time + repair time = 1 + 1.5 = 2.5 hours m = 1 / 2.5 hours = 0.4 customers per hour 3. The travel time is 1 hour. While this is considered part of the service time it actually means that the customer will be waiting during the first hour of the service time. Thus, travel time must be added to the time spent in line as predicted model in order to determine the total customer waiting time. 4. Using output from The Management Scientist, we have the following: Probability that no customers are in the system 0.5380 Average number of …show more content…
5. If the company continues to use one technician when the customer base expands to 20 customers, the average time in the waiting line will increase to 6.9454 hours. With an average travel time of 1 hour, the average total waiting time will be 6.9454 + 1 = 7.9454 hours. The total cost will be $397.78 per hour. This average total waiting time is too long and a second technician is definitely necessary. Using output from The Management Scientist, two service technicians provide the following: Probability that no customers are in the system 0.3525 Average number of customers in the waiting line 0.2104 Average number of customers in the system 1.1527 Average time a customer spends in the waiting line 0.5581 hours* Average time until the machine is back in operation 3.0581 hours Probability of a wait more than one hour 0.2949 Hours a week the technicians are not on service calls

P0 = 0.3525 (0.3525) x 2 technicians x 40 hours = 28.2 hours P1 = 0.3525 (0.3525) x 1
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