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from
tkinter
import
*
from
tkinter
import
messagebox
import
sys
import
os
.
path
sys
.
path
.
append
(
os
.
path
.
join
(
os
.
path
.
dirname
(
__file__
),
'..'
))
from
search
import
*
import
utils
import
numpy
as
np
distances
=
{}
class
TSP_problem
(
Problem
):
""" subclass of Problem to define various functions """
def
two_opt
(
self
,
state
):
""" Neighbour generating function for Traveling Salesman Problem """
neighbour_state
=
state
[:]
left
=
random
.
randint
(
0
,
len
(
neighbour_state
)
-
1
)
right
=
random
.
randint
(
0
,
len
(
neighbour_state
)
-
1
)
if
left
>
right
:
left
,
right
=
right
,
left
neighbour_state
[
left
:
right
+
1
]
=
reversed
(
neighbour_state
[
left
:
right
+
1
])
return
neighbour_state
def
actions
(
self
,
state
):
""" action that can be excuted in given state """
return
[
self
.
two_opt
]
def
result
(
self
,
state
,
action
):
""" result after applying the given action on the given state """
return
action
(
state
)
def
path_cost
(
self
,
c
,
state1
,
action
,
state2
):
""" total distance for the Traveling Salesman to be covered if in state2 """
cost
=
0
for
i
in
range
(
len
(
state2
)
-
1
):
cost
+=
distances
[
state2
[
i
]][
state2
[
i
+
1
]]
cost
+=
distances
[
state2
[
0
]][
state2
[
-
1
]]
return
cost
def
value
(
self
,
state
):
""" value of path cost given negative for the given state """
return
-
1
*
self
.
path_cost
(
None
,
None
,
None
,
state
)
class
TSP_Gui
():
""" Class to create gui of Traveling Salesman using simulated annealing where one can
select cities, change speed and temperature. Distances between cities are euclidean
distances between them.
"""
def
__init__
(
self
,
root
,
all_cities
):
self
.
root
=
root
self
.
vars
=
[]
self
.
frame_locations
=
{}
self
.
calculate_canvas_size
()
self
.
button_text
=
StringVar
()
self
.
button_text
.
set
(
"Start"
)
self
.
algo_var
=
StringVar
()
self
.
all_cities
=
all_cities
self
.
frame_select_cities
=
Frame
(
self
.
root
)
self
.
frame_select_cities
.
grid
(
row
=
1
)
self
.
frame_canvas
=
Frame
(
self
.
root
)
self
.
frame_canvas
.
grid
(
row
=
2
)
Label
(
self
.
root
,
text
=
"Map of Romania"
,
font
=
"Times 13 bold"
).
grid
(
row
=
0
,
columnspan
=
10
)
def
create_checkboxes
(
self
,
side
=
LEFT
,
anchor
=
W
):
""" To select cities which are to be a part of Traveling Salesman Problem """
row_number
=
0
column_number
=
0
for
city
in
self
.
all_cities
:
var
=
IntVar
()
var
.
set
(
1
)
Checkbutton
(
self
.
frame_select_cities
,
text
=
city
,
variable
=
var
).
grid
(
row
=
row_number
,
column
=
column_number
,
sticky
=
W
)
self
.
vars
.
append
(
var
)
column_number
+=
1
if
column_number
==
10
:
column_number
=
0
row_number
+=
1
def
create_buttons
(
self
):
""" Create start and quit button """
Button
(
self
.
frame_select_cities
,
textvariable
=
self
.
button_text
,
command
=
self
.
run_traveling_salesman
).
grid
(
row
=
5
,
column
=
4
,
sticky
=
E
+
W
)
Button
(
self
.
frame_select_cities
,
text
=
'Quit'
,
command
=
self
.
on_closing
).
grid
(
row
=
5
,
column
=
5
,
sticky
=
E
+
W
)
def
create_dropdown_menu
(
self
):
""" Create dropdown menu for algorithm selection """
choices
=
{
'Simulated Annealing'
,
'Genetic Algorithm'
,
'Hill Climbing'
}
self
.
algo_var
.
set
(
'Simulated Annealing'
)
dropdown_menu
=
OptionMenu
(
self
.
frame_select_cities
,
self
.
algo_var
,
*
choices
)
dropdown_menu
.
grid
(
row
=
4
,
column
=
4
,
columnspan
=
2
,
sticky
=
E
+
W
)
dropdown_menu
.
config
(
width
=
19
)
def
run_traveling_salesman
(
self
):
""" Choose selected citites """
cities
=
[]
for
i
in
range
(
len
(
self
.
vars
)):
if
self
.
vars
[
i
].
get
()
==
1
:
cities
.
append
(
self
.
all_cities
[
i
])
tsp_problem
=
TSP_problem
(
cities
)
self
.
button_text
.
set
(
"Reset"
)
self
.
create_canvas
(
tsp_problem
)
def
calculate_canvas_size
(
self
):
""" Width and height for canvas """
minx
,
maxx
=
sys
.
maxsize
,
-
1
*
sys
.
maxsize
miny
,
maxy
=
sys
.
maxsize
,
-
1
*
sys
.
maxsize
for
value
in
romania_map
.
locations
.
values
():
minx
=
min
(
minx
,
value
[
0
])
maxx
=
max
(
maxx
,
value
[
0
])
miny
=
min
(
miny
,
value
[
1
])
maxy
=
max
(
maxy
,
value
[
1
])
# New locations squeezed to fit inside the map of romania
for
name
,
coordinates
in
romania_map
.
locations
.
items
():
self
.
frame_locations
[
name
]
=
(
coordinates
[
0
]
/
1.2
-
minx
+
150
,
coordinates
[
1
]
/
1.2
-
miny
+
165
)
canvas_width
=
maxx
-
minx
+
200
canvas_height
=
maxy
-
miny
+
200
self
.
canvas_width
=
canvas_width
self
.
canvas_height
=
canvas_height
def
create_canvas
(
self
,
problem
):
""" creating map with cities """
map_canvas
=
Canvas
(
self
.
frame_canvas
,
width
=
self
.
canvas_width
,
height
=
self
.
canvas_height
)
map_canvas
.
grid
(
row
=
3
,
columnspan
=
10
)
current
=
Node
(
problem
.
initial
)
map_canvas
.
delete
(
"all"
)
self
.
romania_image
=
PhotoImage
(
file
=
"../images/romania_map.png"
)
map_canvas
.
create_image
(
self
.
canvas_width
/
2
,
self
.
canvas_height
/
2
,
image
=
self
.
romania_image
)
cities
=
current
.
state
for
city
in
cities
:
x
=
self
.
frame_locations
[
city
][
0
]
y
=
self
.
frame_locations
[
city
][
1
]
map_canvas
.
create_oval
(
x
-
3
,
y
-
3
,
x
+
3
,
y
+
3
,
fill
=
"red"
,
outline
=
"red"
)
map_canvas
.
create_text
(
x
-
15
,
y
-
10
,
text
=
city
)
self
.
cost
=
StringVar
()
Label
(
self
.
frame_canvas
,
textvariable
=
self
.
cost
,
relief
=
"sunken"
).
grid
(
row
=
2
,
columnspan
=
10
)
self
.
speed
=
IntVar
()
speed_scale
=
Scale
(
self
.
frame_canvas
,
from_
=
500
,
to
=
1
,
orient
=
HORIZONTAL
,
variable
=
self
.
speed
,
label
=
"Speed ----> "
,
showvalue
=
0
,
font
=
"Times 11"
,
relief
=
"sunken"
,
cursor
=
"gumby"
)
speed_scale
.
grid
(
row
=
1
,
columnspan
=
5
,
sticky
=
N
+
S
+
E
+
W
)
if
self
.
algo_var
.
get
()
==
'Simulated Annealing'
:
self
.
temperature
=
IntVar
()
temperature_scale
=
Scale
(
self
.
frame_canvas
,
from_
=
100
,
to
=
0
,
orient
=
HORIZONTAL
,
length
=
200
,
variable
=
self
.
temperature
,
label
=
"Temperature ---->"
,
font
=
"Times 11"
,
relief
=
"sunken"
,
showvalue
=
0
,
cursor
=
"gumby"
)
temperature_scale
.
grid
(
row
=
1
,
column
=
5
,
columnspan
=
5
,
sticky
=
N
+
S
+
E
+
W
)
self
.
simulated_annealing_with_tunable_T
(
problem
,
map_canvas
)
elif
self
.
algo_var
.
get
()
==
'Genetic Algorithm'
:
self
.
mutation_rate
=
DoubleVar
()
self
.
mutation_rate
.
set
(
0.05
)
mutation_rate_scale
=
Scale
(
self
.
frame_canvas
,
from_
=
0
,
to
=
1
,
orient
=
HORIZONTAL
,
length
=
200
,
variable
=
self
.
mutation_rate
,
label
=
'Mutation Rate ---->'
,
font
=
'Times 11'
,
relief
=
'sunken'
,
showvalue
=
0
,
cursor
=
'gumby'
,
resolution
=
0.001
)
mutation_rate_scale
.
grid
(
row
=
1
,
column
=
5
,
columnspan
=
5
,
sticky
=
'nsew'
)
self
.
genetic_algorithm
(
problem
,
map_canvas
)
elif
self
.
algo_var
.
get
()
==
'Hill Climbing'
:
self
.
no_of_neighbors
=
IntVar
()
self
.
no_of_neighbors
.
set
(
100
)
no_of_neighbors_scale
=
Scale
(
self
.
frame_canvas
,
from_
=
10
,
to
=
1000
,
orient
=
HORIZONTAL
,
length
=
200
,
variable
=
self
.
no_of_neighbors
,
label
=
'Number of neighbors ---->'
,
font
=
'Times 11'
,
relief
=
'sunken'
,
showvalue
=
0
,
cursor
=
'gumby'
)
no_of_neighbors_scale
.
grid
(
row
=
1
,
column
=
5
,
columnspan
=
5
,
sticky
=
'nsew'
)
self
.
hill_climbing
(
problem
,
map_canvas
)
def
exp_schedule
(
k
=
100
,
lam
=
0.03
,
limit
=
1000
):
""" One possible schedule function for simulated annealing """
return
lambda
t
: (
k
*
math
.
exp
(
-
lam
*
t
)
if
t
<
limit
else
0
)
def
simulated_annealing_with_tunable_T
(
self
,
problem
,
map_canvas
,
schedule
=
exp_schedule
()):
""" Simulated annealing where temperature is taken as user input """
current
=
Node
(
problem
.
initial
)
while
(
1
):
T
=
schedule
(
self
.
temperature
.
get
())
if
T
==
0
:
return
current
.
state
neighbors
=
current
.
expand
(
problem
)
if
not
neighbors
:
return
current
.
state
next
=
random
.
choice
(
neighbors
)
delta_e
=
problem
.
value
(
next
.
state
)
-
problem
.
value
(
current
.
state
)
if
delta_e
>
0
or
probability
(
math
.
exp
(
delta_e
/
T
)):
map_canvas
.
delete
(
"poly"
)
current
=
next
self
.
cost
.
set
(
"Cost = "
+
str
(
'%0.3f'
%
(
-
1
*
problem
.
value
(
current
.
state
))))
points
=
[]
for
city
in
current
.
state
:
points
.
append
(
self
.
frame_locations
[
city
][
0
])
points
.
append
(
self
.
frame_locations
[
city
][
1
])
map_canvas
.
create_polygon
(
points
,
outline
=
'red'
,
width
=
3
,
fill
=
''
,
tag
=
"poly"
)
map_canvas
.
update
()
map_canvas
.
after
(
self
.
speed
.
get
())
def
genetic_algorithm
(
self
,
problem
,
map_canvas
):
""" Genetic Algorithm modified for the given problem """
def
init_population
(
pop_number
,
gene_pool
,
state_length
):
""" initialize population """
population
=
[]
for
i
in
range
(
pop_number
):
population
.
append
(
utils
.
shuffled
(
gene_pool
))
return
population
def
recombine
(
state_a
,
state_b
):
""" recombine two problem states """
start
=
random
.
randint
(
0
,
len
(
state_a
)
-
1
)
end
=
random
.
randint
(
start
+
1
,
len
(
state_a
))
new_state
=
state_a
[
start
:
end
]
for
city
in
state_b
:
if
city
not
in
new_state
:
new_state
.
append
(
city
)
return
new_state
def
mutate
(
state
,
mutation_rate
):
""" mutate problem states """
if
random
.
uniform
(
0
,
1
)
<
mutation_rate
:
sample
=
random
.
sample
(
range
(
len
(
state
)),
2
)
state
[
sample
[
0
]],
state
[
sample
[
1
]]
=
state
[
sample
[
1
]],
state
[
sample
[
0
]]
return
state
def
fitness_fn
(
state
):
""" calculate fitness of a particular state """
fitness
=
problem
.
value
(
state
)
return
int
((
5600
+
fitness
)
**
2
)
current
=
Node
(
problem
.
initial
)
population
=
init_population
(
100
,
current
.
state
,
len
(
current
.
state
))
all_time_best
=
current
.
state
while
(
1
):
population
=
[
mutate
(
recombine
(
*
select
(
2
,
population
,
fitness_fn
)),
self
.
mutation_rate
.
get
())
for
i
in
range
(
len
(
population
))]
current_best
=
utils
.
argmax
(
population
,
key
=
fitness_fn
)
if
fitness_fn
(
current_best
)
>
fitness_fn
(
all_time_best
):
all_time_best
=
current_best
self
.
cost
.
set
(
"Cost = "
+
str
(
'%0.3f'
%
(
-
1
*
problem
.
value
(
all_time_best
))))
map_canvas
.
delete
(
'poly'
)
points
=
[]
for
city
in
current_best
:
points
.
append
(
self
.
frame_locations
[
city
][
0
])
points
.
append
(
self
.
frame_locations
[
city
][
1
])
map_canvas
.
create_polygon
(
points
,
outline
=
'red'
,
width
=
1
,
fill
=
''
,
tag
=
'poly'
)
best_points
=
[]
for
city
in
all_time_best
:
best_points
.
append
(
self
.
frame_locations
[
city
][
0
])
best_points
.
append
(
self
.
frame_locations
[
city
][
1
])
map_canvas
.
create_polygon
(
best_points
,
outline
=
'red'
,
width
=
3
,
fill
=
''
,
tag
=
'poly'
)
map_canvas
.
update
()
map_canvas
.
after
(
self
.
speed
.
get
())
def
hill_climbing
(
self
,
problem
,
map_canvas
):
""" hill climbing where number of neighbors is taken as user input """
def
find_neighbors
(
state
,
number_of_neighbors
=
100
):
""" finds neighbors using two_opt method """
neighbors
=
[]
for
i
in
range
(
number_of_neighbors
):
new_state
=
problem
.
two_opt
(
state
)
neighbors
.
append
(
Node
(
new_state
))
state
=
new_state
return
neighbors
current
=
Node
(
problem
.
initial
)
while
(
1
):
neighbors
=
find_neighbors
(
current
.
state
,
self
.
no_of_neighbors
.
get
())
neighbor
=
utils
.
argmax_random_tie
(
neighbors
,
key
=
lambda
node
:
problem
.
value
(
node
.
state
))
map_canvas
.
delete
(
'poly'
)
points
=
[]
for
city
in
current
.
state
:
points
.
append
(
self
.
frame_locations
[
city
][
0
])
points
.
append
(
self
.
frame_locations
[
city
][
1
])
map_canvas
.
create_polygon
(
points
,
outline
=
'red'
,
width
=
3
,
fill
=
''
,
tag
=
'poly'
)
neighbor_points
=
[]
for
city
in
neighbor
.
state
:
neighbor_points
.
append
(
self
.
frame_locations
[
city
][
0
])
neighbor_points
.
append
(
self
.
frame_locations
[
city
][
1
])
map_canvas
.
create_polygon
(
neighbor_points
,
outline
=
'red'
,
width
=
1
,
fill
=
''
,
tag
=
'poly'
)
map_canvas
.
update
()
map_canvas
.
after
(
self
.
speed
.
get
())
if
problem
.
value
(
neighbor
.
state
)
>
problem
.
value
(
current
.
state
):
current
.
state
=
neighbor
.
state
self
.
cost
.
set
(
"Cost = "
+
str
(
'%0.3f'
%
(
-
1
*
problem
.
value
(
current
.
state
))))
def
on_closing
(
self
):
if
messagebox
.
askokcancel
(
'Quit'
,
'Do you want to quit?'
):
self
.
root
.
destroy
()
def
main
():
all_cities
=
[]
for
city
in
romania_map
.
locations
.
keys
():
distances
[
city
]
=
{}
all_cities
.
append
(
city
)
all_cities
.
sort
()
# distances['city1']['city2'] contains euclidean distance between their coordinates
for
name_1
,
coordinates_1
in
romania_map
.
locations
.
items
():
for
name_2
,
coordinates_2
in
romania_map
.
locations
.
items
():
distances
[
name_1
][
name_2
]
=
np
.
linalg
.
norm
(
[
coordinates_1
[
0
]
-
coordinates_2
[
0
],
coordinates_1
[
1
]
-
coordinates_2
[
1
]])
distances
[
name_2
][
name_1
]
=
np
.
linalg
.
norm
(
[
coordinates_1
[
0
]
-
coordinates_2
[
0
],
coordinates_1
[
1
]
-
coordinates_2
[
1
]])
root
=
Tk
()
root
.
title
(
"Traveling Salesman Problem"
)
cities_selection_panel
=
TSP_Gui
(
root
,
all_cities
)
cities_selection_panel
.
create_checkboxes
()
cities_selection_panel
.
create_buttons
()
cities_selection_panel
.
create_dropdown_menu
()
root
.
protocol
(
'WM_DELETE_WINDOW'
,
cities_selection_panel
.
on_closing
)
root
.
mainloop
()
if
__name__
==
'__main__'
:
main
()
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