icebergs
TRANSCRIPT
Icebergs for Kuwait
Question 1
What do we know?
cost of desalinating
distance from Pole
shrinkage factor (0.85)
rental costs and capacities of three ship sizes
melting rates
fuel costs
What can we assume?
icebergs are available without cost
ships travel at constant speed
icebergs are spherical
What could the results look like?
cost of fresh water in Kuwait for every alternative
optimal combination of size of berg and ship
What information can be brought to bear?
rental costs and capacities of three ship sizes
melting rates
fuel costs
What can we ask the client?
are there intermediate ship sizes?
can multiple ships tow and iceberg?
have icebergs been towed for another purpose?
what factors contribute to the melting of an iceberg?
Similar situations or problems?
freight shipment by air, train, truck
Question 2
Problem statements: In what ways could we…?
supply fresh water to Kuwait?
utilize icebergs to supply fresh water to Kuwait?
reduce the costs of fresh water in Kuwait?
tow icebergs to Kuwait economically?
Question 3
Decisions
size of ship
size of berg
speed of travel
Objectives
minimize cost of delivered fresh water
achieve cost-effective utilization of icebergs for fresh water
Constraints
NA
Question 4
Question 5
Ways to simplify
assume one ship size
assume one berg size
assume berg is a sphere
ignore differences in friction due to air and water
assume ships travel at constant speeds
Question 6
Modules
volume of berg from initial to final size
costs: rental and fuel
Size of Berg
Days
Towed
Rental
Cost
Fuel
Cost
Total
Cost
Cost of
Fresh
Size of Boat
Speed
Distance
from
Pole
Melting
Rate
Volume
Delivered
Shrinkage
Question 7
Key relationships
rental as a function of ship size
maximum load as a function of ship size
melting rates as a function of speed and distance from Pole
fuel costs as a function of speed and current volume
Question 8
Parameters
shrinkage factor
travel distance
cost of conventional water
various parameters depending on the relationships below