Heuristic Approach to CPP on Large Graphs
In large urban networks, solving the Chinese Postman Problem (CPP) exactly is computationally intensive. As a result, heuristic approaches are often used. Consider a large connected graph representing a city’s road network where some vertices have odd degrees. (a) Propose a greedy pairing algorithm to match the odd-degree vertices by selecting pairs with the smallest […]
Part b
After pairing, some edges may remain as leftovers. Explain how to evaluate the approximate additional cost contributed by these leftover edges and discuss the potential impact on the overall route optimization.
Part b
Outline an approximation algorithm for the TSP, such as the Nearest Neighbor algorithm or Christofides’ algorithm. Explain how this algorithm provides an approximate solution and justify the trade-offs between accuracy and computational efficiency.