Introduction to Operation Engineering Management Decision Analysis • Your compan

Introduction to Operation Engineering Management Decision Analysis
• Your company is involved in a 4 construction projects.
• Every morning 10 vans have to enter the building site from the gate and deliver supplies to 4 locations A, B, C, and D on the site shown below
• At each time only one van can be in the site.
• The amount of time spent by a van to deliver the material at each location has a uniform distribution shown below.
Locations Delivery time in minutes
A [15, 25]
B [10, 15]
C [10, 20]
D [35, 50]
• The average time that it takes to travel from one location to the other in minutes is given below
GATE A B C D
GATE 0 15 5 5 15
A 15 0 8 15 18
B 5 8 0 5 12
C 5 15 5 0 8
D 15 18 12 8 0
• The times of travel have a uniform distribution [Average – Δ , Average + Δ ] where Δ = 3 minutes
a) Use simulation to determine the best route for the vans to take for delivery.
b) What is the average time for delivery and its standard deviation in this case?
c) What is the minimum and maximum time if a van takes this route?
d) What is the expected time that all the vans make their deliveries if this routing is taken?
EXTRA POINTS
e) Suppose the gate and the road on the site are widened such that two vans can enter at each time, however, the capacity to take delivery at each location is for one van at a time.
o What is the best route that two vans should take?
o What is the expected time that all the vans make their deliveries in this case?