Fix TSP serial and parallel implementation

notebooks/tsp-serial.jl

@@ -0,0 +1,66 @@
+using Distributed
+
+connections = [
+    [(1,0),(4,39),(5,76), (6,78),(3,94),(2,97)],
+    [(2,0),(5,25),(4,58),(3,62),(1,97),(6,109)],
+    [(3,0),(6,58),(2,62),(4,68),(5,70),(1,94)],
+    [(4,0),(5,38),(1,39),(2,58),(3,68),(6,78)],
+    [(5,0),(2,25),(4,38),(3,70),(1,76),(6,104)],
+    [(6,0),(3,58),(1,78),(4,78),(5,104),(2,109)]
+]
+
+# Shortest route with start 1: 1-3-2-4 (distance: 7)
+con2 = [
+    [(1,0), (2,2), (3,3), (4,4)],
+    [(2,0), (4,1), (1,2), (3,3)],
+    [(3,0), (1,3), (2,3), (4,10)], 
+    [(4,0), (2,1), (1,4), (3,10)]
+]
+
+@everywhere function visited(city,hops,path)
+    for i = 1:hops
+        if path[i] == city
+            return true
+        end
+    end
+    return false
+end
+
+## TSP serial 
+function tsp_serial_impl(connections,hops,path,current_distance, min_path, min_distance)
+    num_cities = length(connections)
+    if hops == num_cities
+        if current_distance < min_distance
+            min_path .= path
+            return min_path, current_distance
+        end
+    else
+        current_city = path[hops]
+        next_hops = hops + 1
+        for (next_city,distance_increment) in connections[current_city]
+            if !visited(next_city,hops,path)
+                path[next_hops] = next_city
+                next_distance = current_distance + distance_increment
+                if next_distance < min_distance
+                    min_path, min_distance = tsp_serial_impl(connections,next_hops,path,next_distance,min_path,min_distance)
+                end
+            end
+        end        
+    end
+    return min_path, min_distance
+end
+
+function tsp_serial(connections,city)
+    num_cities = length(connections)
+    path=zeros(Int,num_cities)
+    hops = 1
+    path[hops] = city
+    min_path = zeros(Int, num_cities)
+    current_distance = 0
+    min_distance = typemax(Int)
+    min_path, min_distance = tsp_serial_impl(connections,hops,path,current_distance, min_path, min_distance)
+    (;path=min_path,distance=min_distance)
+end
+
+city = 1
+tsp_serial(connections,city)