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Re^11: Travelling problem (Anyone better 86850?)

by hdb (Parson)
on Dec 27, 2013 at 08:29 UTC ( #1068487=note: print w/ replies, xml ) Need Help??


in reply to Re^10: Travelling problem (Anyone better 86850?)
in thread Travelling problem

Thanks for your good advice. I have adapted your approach in a slight modification where I introduce an indicator whether or not the recursive function is called from itself or from the outside. In the latter case, it starts threads otherwise it just calls itself within the same thread. This is at the cost of an additional if which I hope is not material (I have not run any benchmarks).

As a consequence, the script has successfully completed the restricted branching based on the shortest two or three next available edges (the latter took 12hrs), but it has not found any better solution than 84860.


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Re^12: Travelling problem (Anyone better 86850?)
by LanX (Canon) on Dec 27, 2013 at 08:47 UTC
    > but it has not found any better solution than 84860.

    Did you also try the reverse way from 23 to 0?

    Cheers Rolf

    ( addicted to the Perl Programming Language)

Re^12: Travelling problem (Anyone better 86850?)
by BrowserUk (Pope) on Dec 27, 2013 at 09:02 UTC

    Here's my second attempt at a threaded version. Running it with -T=24 won't be fastest unless you have 24 cores, but it has the interesting side effect of running all first picks in parallel.

    Ignore this! (I was forgetting to add the last distance :( )which yields several better than 84860 scores in just a few minutes:

    Source:

    I've also recoded the algorithm into C which runs very quickly, but so far I haven't threaded it.


    With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.
Re^12: Travelling problem (Anyone better 86850?)
by BrowserUk (Pope) on Dec 28, 2013 at 01:43 UTC
    successfully completed the restricted branching based on the shortest two or three next available edges

    My threaded C version has now completed restricted branching at shortest 2,3,4,5,6,7 available edges and the best it found are:

    2 - 134842 1s 14e5 perms. 3 - 114847 23s 30e6 perms. 4 - 102428 4m .5e9 perms. 5 - 99505 15m 5e9 perms. 6 - 99056 1h 53m 30e9 perms. 7 - 92705 4h 7m 69e9 perms.

    Note: The numbers are provisional in as much as I have repeated them to check they are repeatable; given the possibility of non-determinacy due to threading.

    I'll leave it running overnight on 8.


    With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.

      My Perl code does find 84860 when restricting to the 2 or 3 shortest edges, so something seems to be wrong with your code...

        Hm. If we sort the edges of the OP data

        [ [[ 0, 0],*[ 3812, 1], [ 3267, 20], [ 5015, 5], [ 5230, 6], [ +5409, 16], [ 6170, 11], [ 6812, 12], [ 7575, 10], [ 8030, 15], [ 8619 +, 3], [ 9487, 13], [ 9615, 7], [10624, 8], [11078, 23], [11223, 22 +], [12822, 18], [12882, 21], [13346, 9], [13902, 2], [15811, 4], [ +17136, 19], [17959, 17], [18135, 14]], [[ 0, 1],*[ 3764, 10], [ 3812, 0], [ 4519, 6], [ 5154, 15], [ +6668, 11], [ 7056, 20], [ 7266, 23], [ 8057, 5], [ 8276, 16], [ 8761 +, 7], [ 9367, 18], [ 9698, 21], [10603, 12], [11117, 13], [11527, 2 +], [12431, 3], [12569, 9], [13603, 22], [14398, 8], [14805, 14], [ +14840, 19], [15446, 4], [18175, 17]], [[ 0, 2],*[ 3236, 18], [ 3457, 19], [ 4611, 7], [ 6381, 15], [ +6655, 23], [ 6859, 14], [ 7602, 17], [ 8226, 11], [ 8675, 6], [ 8798 +, 10], [ 8830, 21], [10220, 4], [11223, 16], [11527, 1], [11970, 9 +], [12993, 8], [13638, 3], [13902, 0], [14535, 20], [14748, 22], [ +15087, 12], [16591, 13], [18405, 5]], [[ 0, 3], [ 1926, 12],*[ 2157, 8], [ 5402, 20], [ 5555, 5], [ +5737, 16], [ 5765, 22], [ 7111, 13], [ 8619, 0], [ 9378, 17], [ 9609 +, 11], [ 9965, 4], [10917, 9], [11256, 6], [11549, 7], [11899, 19 +], [12431, 1], [12565, 14], [13638, 2], [14906, 15], [15921, 21], [ +16194, 10], [16868, 18], [19675, 23]], [[ 0, 4], [ 2940, 9],*[ 3517, 14], [ 3627, 17], [ 5155, 22], [ +6374, 13], [ 6475, 21], [ 7077, 19], [ 7873, 8], [ 9965, 3], [10220 +, 2], [10235, 23], [10307, 18], [11057, 12], [11122, 5], [13119, 10 +], [14478, 20], [14599, 7], [14973, 15], [15446, 1], [15565, 16], [ +15811, 0], [17793, 11], [18683, 6]], [[ 0, 5],*[ 3811, 12], [ 3881, 20], [ 4858, 13], [ 5015, 0], [ +5555, 3], [ 6210, 22], [ 6744, 8], [ 7186, 16], [ 8057, 1], [ 9617 +, 9], [10109, 6], [10270, 11], [11122, 4], [11348, 10], [12658, 21 +], [12975, 15], [13212, 17], [13856, 7], [14138, 23], [14594, 14], [ +17106, 19], [17301, 18], [18405, 2]], [[ 0, 6],*[ 2299, 11], [ 3741, 15], [ 4519, 1], [ 4584, 7], [ +5230, 0], [ 5549, 16], [ 6018, 10], [ 6865, 20], [ 8377, 18], [ 8600 +, 23], [ 8675, 2], [10109, 5], [10267, 12], [11256, 3], [11981, 19 +], [12543, 21], [13284, 8], [14709, 13], [15205, 14], [15863, 17], [ +16177, 22], [16923, 9], [18683, 4]], [[ 0, 7], [ 3619, 11],*[ 4584, 6], [ 4611, 2], [ 4627, 15], [ +6102, 18], [ 6948, 16], [ 7523, 19], [ 8240, 10], [ 8550, 23], [ 8761 +, 1], [ 9615, 0], [ 9992, 20], [11282, 17], [11444, 14], [11549, 3 +], [11888, 12], [12321, 21], [12503, 8], [13856, 5], [14599, 4], [ +16548, 9], [16782, 22], [18524, 13]], [[ 0, 8], [ 2157, 3], [ 3813, 12],*[ 4374, 22], [ 6447, 13], [ +6744, 5], [ 7340, 17], [ 7492, 20], [ 7735, 16], [ 7873, 4], [ 9231 +, 9], [10421, 19], [10427, 14], [10624, 0], [11405, 11], [12503, 7 +], [12993, 2], [13284, 6], [14151, 21], [14398, 1], [15982, 18], [ +16699, 15], [18070, 10], [18092, 23]], [[ 0, 9],*[ 2940, 4], [ 4874, 13], [ 5008, 21], [ 5170, 22], [ +5269, 14], [ 6543, 17], [ 9146, 23], [ 9231, 8], [ 9458, 19], [ 9617 +, 5], [10709, 18], [10917, 3], [11052, 10], [11199, 12], [11970, 2 +], [12569, 1], [13346, 0], [13488, 20], [14093, 15], [16358, 16], [ +16548, 7], [16923, 6], [19220, 11]], [[ 0, 10], [ 3508, 23],*[ 3614, 15], [ 3764, 1], [ 5954, 18], [ +6018, 6], [ 6649, 21], [ 7575, 0], [ 8220, 11], [ 8240, 7], [ 8798 +, 2], [10801, 20], [11052, 9], [11186, 14], [11306, 16], [11348, 5 +], [11533, 19], [12490, 13], [13119, 4], [14354, 12], [14452, 17], [ +14987, 22], [16194, 3], [18070, 8]], [[ 0, 11], [ 2299, 6], [ 3619, 7],*[ 3975, 16], [ 5330, 15], [ +6170, 0], [ 6469, 20], [ 6668, 1], [ 8220, 10], [ 8226, 2], [ 9100 +, 18], [ 9124, 12], [ 9609, 3], [10270, 5], [10326, 23], [10994, 19 +], [11405, 8], [14165, 17], [14453, 21], [15059, 14], [15115, 13], [ +15268, 22], [17793, 4], [19220, 9]], [[ 0, 12],*[ 1926, 3], [ 3728, 20], [ 3811, 5], [ 3813, 8], [ +5168, 16], [ 6168, 22], [ 6645, 13], [ 6812, 0], [ 9124, 11], [10267 +, 6], [10603, 1], [11057, 4], [11153, 17], [11199, 9], [11888, 7 +], [13808, 19], [13999, 15], [14126, 14], [14354, 10], [15087, 2], [ +15782, 21], [17749, 23], [17968, 18]], [[ 0, 13], [ 2621, 22], [ 4858, 5],*[ 4874, 9], [ 6374, 4], [ +6447, 8], [ 6645, 12], [ 7111, 3], [ 8652, 20], [ 9157, 21], [ 9288 +, 17], [ 9487, 0], [ 9754, 14], [11117, 1], [11588, 16], [12490, 10 +], [12782, 23], [13331, 19], [14709, 6], [15115, 11], [15400, 18], [ +15942, 15], [16591, 2], [18524, 7]], [[ 0, 14],*[ 3379, 17], [ 3517, 4], [ 4250, 19], [ 5269, 9], [ +5311, 21], [ 6859, 2], [ 6883, 18], [ 7729, 23], [ 8643, 22], [ 9754 +, 13], [10427, 8], [11186, 10], [11444, 7], [11725, 15], [12565, 3 +], [14126, 12], [14594, 5], [14805, 1], [15059, 11], [15205, 6], [ +16484, 16], [17835, 20], [18135, 0]], [[ 0, 15], [ 3614, 10], [ 3741, 6],*[ 4627, 7], [ 4874, 18], [ +5003, 23], [ 5154, 1], [ 5330, 11], [ 6381, 2], [ 8030, 0], [ 9122 +, 21], [ 9173, 16], [ 9780, 19], [10451, 20], [11725, 14], [12975, 5 +], [13841, 17], [13999, 12], [14093, 9], [14906, 3], [14973, 4], [ +15942, 13], [16699, 8], [18555, 22]], [[ 0, 16],*[ 3450, 20], [ 3975, 11], [ 5168, 12], [ 5409, 0], [ +5549, 6], [ 5737, 3], [ 6948, 7], [ 7186, 5], [ 7735, 8], [ 8276 +, 1], [ 9173, 15], [11223, 2], [11293, 22], [11306, 10], [11588, 13 +], [12642, 19], [12955, 18], [13413, 17], [14142, 23], [15565, 4], [ +16358, 9], [16484, 14], [17931, 21]], [[ 0, 17], [ 3379, 14], [ 3627, 4],*[ 4145, 19], [ 6543, 9], [ +7147, 22], [ 7340, 8], [ 7602, 2], [ 8581, 21], [ 9181, 18], [ 9288 +, 13], [ 9378, 3], [10945, 23], [11153, 12], [11282, 7], [13212, 5 +], [13413, 16], [13841, 15], [14165, 11], [14452, 10], [14775, 20], [ +15863, 6], [17959, 0], [18175, 1]], [[ 0, 18], [ 3236, 2], [ 3419, 23], [ 4874, 15], [ 5593, 19], [ +5954, 10], [ 6102, 7],*[ 6278, 21], [ 6883, 14], [ 8377, 6], [ 9100 +, 11], [ 9181, 17], [ 9367, 1], [10307, 4], [10709, 9], [12822, 0 +], [12955, 16], [15242, 20], [15400, 13], [15447, 22], [15982, 8], [ +16868, 3], [17301, 5], [17968, 12]], [[ 0, 19],*[ 3457, 2], [ 4145, 17], [ 4250, 14], [ 5593, 18], [ +7077, 4], [ 7523, 7], [ 8453, 23], [ 8478, 21], [ 9458, 9], [ 9780 +, 15], [10421, 8], [10994, 11], [11291, 22], [11533, 10], [11899, 3 +], [11981, 6], [12642, 16], [13331, 13], [13808, 12], [14840, 1], [ +15914, 20], [17106, 5], [17136, 0]], [[ 0, 20], [ 3267, 0], [ 3450, 16], [ 3728, 12],*[ 3881, 5], [ +5402, 3], [ 6469, 11], [ 6865, 6], [ 7056, 1], [ 7492, 8], [ 8652 +, 13], [ 9326, 22], [ 9992, 7], [10451, 15], [10801, 10], [13488, 9 +], [14308, 23], [14478, 4], [14535, 2], [14775, 17], [15242, 18], [ +15624, 21], [15914, 19], [17835, 14]], [[ 0, 21],*[ 4139, 23], [ 5008, 9], [ 5311, 14], [ 6278, 18], [ +6475, 4], [ 6649, 10], [ 8478, 19], [ 8581, 17], [ 8830, 2], [ 9122 +, 15], [ 9157, 13], [ 9698, 1], [10157, 22], [12321, 7], [12543, 6 +], [12658, 5], [12882, 0], [14151, 8], [14453, 11], [15624, 20], [ +15782, 12], [15921, 3], [17931, 16]], [[ 0, 22],*[ 2621, 13], [ 4374, 8], [ 5155, 4], [ 5170, 9], [ +5765, 3], [ 6168, 12], [ 6210, 5], [ 7147, 17], [ 8643, 14], [ 9326 +, 20], [10157, 21], [11223, 0], [11291, 19], [11293, 16], [13603, 1 +], [14265, 23], [14748, 2], [14987, 10], [15268, 11], [15447, 18], [ +16177, 6], [16782, 7], [18555, 15]], [[ 0, 23], [ 3419, 18], [ 3508, 10], [ 4139, 21], [ 5003, 15], [ +6655, 2], [ 7266, 1], [ 7729, 14], [ 8453, 19], [ 8550, 7], [ 8600 +, 6], [ 9146, 9], [10235, 4], [10326, 11], [10945, 17], [11078, 0 +], [12782, 13], [14138, 5], [14142, 16], [14265, 22], [14308, 20], [ +17749, 12], [18092, 8], [19675, 3]], ]

        And consider the values for 84860:

        84860 [ 0 1 10 15 7 6 11 16 20 5 12 3 8 22 13 9 4 14 17 19 2 18 21 23 +]

        We find that the 18-21 edge is ranked 8th.


        With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
        Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
        "Science is about questioning the status quo. Questioning authority".
        In the absence of evidence, opinion is indistinguishable from prejudice.

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