In Class Exercise
1) The Philadelphia Airport has 5 de-icing stations. Each plane uses a single station and each station takes 11.5 minutes to de-ice a plane. How many planes per hour can be de-iced at the Philadelphia Airport? (Round the answer to 2 decimal places.)
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Formula: Capacity of 1 station in an hour = 60 mins/ time to de-ice a plane
Capacity of 1 station= 60/11.5
Capacity of 1 station = 5.22 planes per hour
Capacity of Philadelphia airport= 5.22 *5
Capacity of Philadelphia airport = 26.1 planes per hour.
Note: All intermediate calculations are rounded off to 2 decimal places
2) Consider a process that has 3 stations, ordered in sequence: 1, 2, and 3. At each station, two consecutive tasks are performed one after the other. The time (in seconds per unit) it takes for a single person to perform each task is given in the table below (e.g., task A2 takes 10 seconds per unit):
# of Workers
The table also gives the number of workers at each station. What is the capacity of this process (in units per minute)? (Round the answer to 1 decimal place.)
Capacity of station A = m/processing time, where m = number of workers
= 1/(20+10) = 1/30 per second or 1/30*60 = 2 tasks per minute.
Capacity of Station B = m/processing time, where m = number of workers
= 2/(40+40) = 2/80 per second or 2/80*60 = 1.5 tasks per minute
Capacity of station C = m/processing time, where m = number of workers
= 1/(15+5) = 1/20 per second or 1/20*60 = 3 tasks per minute
Capacity of the process = the lowest capacity among all work stations = 1.5 tasks per minute (i.e that of station B).
3) Consider the following four step process:
The following data are available for the four steps:
Activity time per unit (min) 0.25 0.33 0.2 0.5
Capacity per worker (units/min) 4 3 5 2
Number of workers 2 3 2 4
Suppose the steps in activity D are made easier, so the activity time per unit in step D is reduced by 50% (to 0.25 minutes per unit). If the assignment of workers to steps remains the same, by how much does the capacity of the entire process increase in units per minute?
Department of Motor Vehicles
The local Department of Motor Vehicles issues new licenses and renews licenses. (See the diagram below.) The office receives 110 customers per hour. All customers see a receptionist first. The receptionist directs them in one of three directions: 75% go directly to issue license (staffed by 9 workers) where a new photo and license are done, 15% are required to take an eye test (staffed by one worker), and 10% must first take a multiple-choice electronic written test (on one of three computers). Only 85% of people pass the eye test and the remaining 15% exit. The customers who pass the eye test proceed to the written test where 10% of the people fail it, while 90% pass the test and proceed to issue license.
Data on each station are provided in the following table:
Workers Activity time per worker (min)
Reception 1 0.4
Eye Test 1 5
Written Test 3 15
Issue License 9 6
4) What is the implied utilization of the Receptionist? (Round the answer to 2 decimal places.)
5) What is the implied utilization of issue license? (Round the answer to 2 decimal places.)
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