How to use Jonker's LAP Linear Assigment Prolem code

Posted on 2006-11-04
Last Modified: 2008-01-09

I'd appreciate any help on how to use Jonker's LAP, something like an "user guide" or some samples.
The only info I have is inside the code itself:
*  lap.cpp
   version 1.0 - 4 September 1996
   author: Roy Jonker @ MagicLogic Optimization Inc.

   Code for Linear Assignment Problem, according to
   "A Shortest Augmenting Path Algorithm for Dense and Sparse Linear  
    Assignment Problems," Computing 38, 325-340, 1987
   R. Jonker and A. Volgenant, University of Amsterdam.

Unfortunatelly there is no information about LAP at those organizations' sites anymore.
I'd like to apply LAP in place of the simple DFS I used in my branch-and-bound CVRP solver.

Please note this is not homework. I have already done my assignments at my graduate course, when I used DFS and a LP version with the huge SYMPHONY package in similar problems. What I'm like now is a light solution by using public domain software.

Thanks in advance,
Question by:JoseParrot
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LVL 27

Expert Comment

ID: 17873765
Have you tried looking at
"A Shortest Augmenting Path Algorithm for Dense and Sparse Linear  
    Assignment Problems," Computing 38, 325-340, 1987
LVL 18

Author Comment

ID: 17885816
Of course. Not only read it but I've paid US$ 30 for this paper a few weeks ago. Although the algorithm is presented, there is no samples. I had used this code in C and the results were very far to the expected, obviously because I'm using it wrongly. As this LAP code is widely cited in many papers (I have read a number of them) this reinforces that I didn't understood the original paper. Probably it is a little but important detail I wasn't able to see...

I had the hope of one of the experts around knew this program and have used it.
Meanwhile I'm trying to understand it.

LVL 27

Expert Comment

ID: 17886978
"Meanwhile I'm trying to understand it."
and if you, do you will be ahead of me.
LVL 18

Author Comment

ID: 18248302

I have discovered that the C code I have  has a bug.
Then I have ported the Pascal code, from the cited paper, to C and compared it with the C code I had and notice some significant differences. The problem is that the C code was distributed by a graduation teacher as an additional resource for solving the TSP, and, was supposed to be correct. Oh, it make me spent a time!

So what I can do is to advice: if you find elsewhere codes named lapjv.c or lap.c or lapjv.pas around, probably they are wrong. The only correct solver for the Linear Assignment Problem, by R. Jonker and A. Volgenant, is the one described in such paper. Despite the age (the paper is 10 years old), it is very useful and fast. Really good algorithm and code.

As I didn't received answers, I'll ask for the deletion of the question.
Anyway, thanks, aburr, for your attention.


Accepted Solution

DarthMod earned 0 total points
ID: 18317224
PAQd, 500 points refunded.

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