Context: I'm working on a warehouse simulation that supports different floor designs and simulates one or multiple agents that are tasked with order picking. One order can consist of more than one product. The routing for picking products is solved as a capacitated vehicle routing problem (CVRP). This requires a distance matrix between product locations, for which the A* algorithm is used. Currently, distance matrices are generated per order, just before picking on that order is started. Many simulation runs are desired for accurate measures, so computational efficiency is of high importance. For completeness, I included a screenshot of the simulation below, with product locations (dark), an agent (white), products in the current order (blue), and the products being picked in the current route (green/red). Note that the white lines represent the current picking priority, not the exact paths.
Problem: The size of the distance matrix grows quadratically with the number of products per order. Therefore, the time for computing it with A* quickly becomes unacceptable.
Question: I need a method that makes the computation of distance matrices more efficient. This can be either an exact method or a heuristic, as long as not too much accuracy is sacrificed. I am not looking for implementations or specific code snippets, but for ideas and/or methods that are used for similar problems that I can implement myself.
Attempted methods/ideas: Here are some approaches I've considered or tried to implement with no success:
Layout examples: White pixels indicate floor cells, black pixels indicate product locations. Products within an order are randomly selected from all possible locations. More floor layouts (any floor layout!) should be supported by the chosen method.
Here is a pasteable array for layout 1 if anyone wants to mess around with it:
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I know link-only answers are usually discouraged, but "what algorithms can make A* faster" is a hugely complicated topic that's been an active area of research nonstop for the past 50 years. So it's not really possible to give anything more than a vague summary in a Stackoverflow answer.
For 2D grids like your own, there are two common techniques that give huge speedups:
Additionally, since you mentioned it does not need be optimal,
Finally, if your grid changes over time, there is a whole field of incremental algorithms that perform better than A*.