Comments (4)
Thanks I will do so! I was already reading through Hao Su's (impressive) PhD thesis, https://cseweb.ucsd.edu/~haosu/papers/thesis_finalversion.pdf, page 109 where he describes that he used a (1 + epsilon) approximation scheme from Bertsekas. He references that particular paper as well. However, Bertsekas has also described an auction algorithm for the transportation problem in particular: https://www.researchgate.net/publication/225431349_The_auction_algorithm_for_the_transportation_problem
It's by the way not that I think it's something completely different. I see "epsilon scaling" is used. Describing the TRANSAUCTION code Bertsekas mentions how he starts from a large value and ends with epsilon = 1 / min(M,N) and how in the implementation he just multiplies all costs with min(M,N), so the algorithm's final value for epsilon = 1. However, details are different, and I want to adjust it to a different version of EMD, so I've to know exactly what happens here. :-)
Off topic: sweet talk by Bertsekas https://www.youtube.com/watch?v=T-fSmSqzcqE - describes a little bit his history. It's quite cute. :-)
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Here it is: D. P. Bertsekas. A distributed asynchronous relaxation algorithm for the assignment problem. In Decision and Control, 1985 24th IEEE Conference on, pages 1703–1704. IEEE, 1985.
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The code that belongs to this paper can be found on the website of Bertsekas https://web.mit.edu/dimitrib/www/noc.htm in Fortran at https://web.mit.edu/dimitrib/www/lopnet.txt (it is labeled RELAX_QC). Now is the Fortran code not the easiest to read, but it just doesn't look like the same thing. Maybe it's another algorithm by Bertsekas.
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