Routing (Leaving Cert Applied Maths): Flashcards
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Practise the cards
14 cards from this deck
What are routing problems in dynamic programming?
What are routing problems in dynamic programming?
Optimisation challenges to find the best path through a network
Goal of routing problems
Goal of routing problems
Maximise benefits or minimise costs over time
What approach is used in routing problems?
What approach is used in routing problems?
Backward approach - start at final stage, work to beginning
Stage in routing problems
Stage in routing problems
Time periods or decision points; numbered by time remaining
State in routing problems
State in routing problems
Possible positions/locations at each stage
Action in routing problems
Action in routing problems
Decisions/moves you can make from each state
Destination in routing problems
Destination in routing problems
Where each action leads; your new state in next stage
Value in routing problems
Value in routing problems
Calculated benefit/cost of action (immediate + future)
Value calculation formula in routing
Value calculation formula in routing
What does OVD stand for?
What does OVD stand for?
Optimum Value from Destination
OVD value at final stage
OVD value at final stage
Zero (no future stages to consider)
Why work backwards in routing problems?
Why work backwards in routing problems?
Ensures optimal decisions by knowing exact future benefits
How to mark optimal solutions in routing tables
How to mark optimal solutions in routing tables
Use asterisks (*) to identify best choices at each stage
Three info types needed for routing problem setup
Three info types needed for routing problem setup
Timing constraints, benefit calculations, cost analysis
