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Task/Vogels-approximation-method/Ruby/vogels-approximation-method-1.rb

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+# VAM
+#
+#  Nigel_Galloway
+#  September 1st., 2013
+COSTS  = {W: {A: 16, B: 16, C: 13, D: 22, E: 17},
+          X: {A: 14, B: 14, C: 13, D: 19, E: 15},
+          Y: {A: 19, B: 19, C: 20, D: 23, E: 50},
+          Z: {A: 50, B: 12, C: 50, D: 15, E: 11}}
+demand = {A: 30, B: 20, C: 70, D: 30, E: 60}
+supply = {W: 50, X: 60, Y: 50, Z: 50}
+COLS = demand.keys
+res = {}; COSTS.each_key{|k| res[k] = Hash.new(0)}
+g = {}; supply.each_key{|x| g[x] = COSTS[x].keys.sort_by{|g| COSTS[x][g]}}
+        demand.each_key{|x| g[x] = COSTS.keys.sort_by{|g| COSTS[g][x]}}
+
+until g.empty?
+  d = demand.collect{|x,y| [x, z = COSTS[g[x][0]][x], g[x][1] ? COSTS[g[x][1]][x] - z : z]}
+  dmax = d.max_by{|n| n[2]}
+  d = d.select{|x| x[2] == dmax[2]}.min_by{|n| n[1]}
+  s = supply.collect{|x,y| [x, z = COSTS[x][g[x][0]], g[x][1] ? COSTS[x][g[x][1]] - z : z]}
+  dmax = s.max_by{|n| n[2]}
+  s = s.select{|x| x[2] == dmax[2]}.min_by{|n| n[1]}
+  t,f = d[2]==s[2] ? [s[1], d[1]] : [d[2],s[2]]
+  d,s = t > f ? [d[0],g[d[0]][0]] : [g[s[0]][0],s[0]]
+  v = [supply[s], demand[d]].min
+  res[s][d] += v
+  demand[d] -= v
+  if demand[d] == 0 then
+    supply.reject{|k, n| n == 0}.each_key{|x| g[x].delete(d)}
+    g.delete(d)
+    demand.delete(d)
+  end
+  supply[s] -= v
+  if supply[s] == 0 then
+    demand.reject{|k, n| n == 0}.each_key{|x| g[x].delete(s)}
+    g.delete(s)
+    supply.delete(s)
+  end
+end
+
+COLS.each{|n| print "\t", n}
+puts
+cost = 0
+COSTS.each_key do |g|
+  print g, "\t"
+  COLS.each do |n|
+    y = res[g][n]
+    print y if y != 0
+    cost += y * COSTS[g][n]
+    print "\t"
+  end
+  puts
+end
+print "\n\nTotal Cost = ", cost

Task/Vogels-approximation-method/Ruby/vogels-approximation-method-2.rb

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+COSTS  = {S1: {D1: 46, D2:  74, D3:  9, D4: 28, D5: 99},
+          S2: {D1: 12, D2:  75, D3:  6, D4: 36, D5: 48},
+          S3: {D1: 35, D2: 199, D3:  4, D4:  5, D5: 71},
+          S4: {D1: 61, D2:  81, D3: 44, D4: 88, D5:  9},
+          S5: {D1: 85, D2:  60, D3: 14, D4: 25, D5: 79}}
+demand = {D1: 278, D2: 60, D3: 461, D4: 116, D5: 1060}
+supply = {S1: 461, S2: 277, S3: 356, S4: 488, S5: 393}