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Definition 1 ( Travelling Salesperson Problem ) . Given a list of cities and the distances ( edges ) between each pair of cities (
Definition Travelling Salesperson Problem Given a list of cities and the distances edges between each pair of cities nodes
what is the optimal route that visits each city exactly once starting from city A and ending at any other city?
Personalize this homework for yourself:
Take the last digits of your # and call is :
Find which will be a number between and :
Find which will be a number between and
For example: Let Then mod and mod
Now update the above given citidistances graph by setting the distance of to be and the distance of to be
Now, with your personalized graph of cities, answer the following questions: In the search tree, let frontier denote the list
that contains all the discovered but unexpanded nodes.
pts Perform uniformcost search for the above problem formulation. Show all the changes on frontier until a node
containing a fourcity partial tour is pulled out of the list. Each entry in frontier contains the partial tour and its value.
Perform search for the above problem formulation using as the heuristic function.
a pts Show all the changes on frontier until a node containing a fourcity partial tour is pulled out from the list.
Each entry in frontier contains the partial tour and its values.
b pts Only for the two states and show the subgraphs and its MCSTs
c pts Show the search tree of this time step, ie when a first nodethat contains a fourcity partial tour is pulled out
from frointer to expand.
Perform search for the above problem formulation using as the heuristic function.
a pts Show all the changes on frontier until a node containing a fourcity partial tour is pulled out from the list.
Each entry in frontier contains the partial tour and its values.
b pts Show the search tree of this time step.
pts Are and admissible heuristic functions? Give precise and succinct reasons to justify your answers.
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