ERROR = basis matrix is singular to working precision

"Garcia, Christophe" <[email protected]>
Newsgroups gmane.comp.gnu.glpk
Message-ID <BN3PR05MB2418DF33C96C6BEA7EECAC8F90080@BN3PR05MB2418.namprd05.prod.outlook.com>
Hi there,

I am new to GLPK and to LP solving in general
I created a model that is supposed to optimize the travel cost of technician that visit clients to repair their security system

-          I have a graph of nodes and edges representing possible paths with their costs

-          I have a qualification matrix to send a technician that has the required qualifications at a client site

Out of this I create constraints using the OPTANO modeling tools = mainly I create my variables, constraints and objective using OPTANO objects and it will translate this into a GLPK problem and then runs it

I have a problem understanding GLPK behavior with my model when I get this error message :

GLPK Simplex Optimizer, v4.65
5157 rows, 5980 columns, 892762 non-zeros
      0: obj =  0.000000000e+000 inf =  2.300e+001 (23)
Perturbing LP to avoid stalling [199]...
Warning: basis matrix is ill-conditioned (cond = 1.13e+015)
Warning: basis matrix is ill-conditioned (cond = 1.45e+015)
Warning: basis matrix is ill-conditioned (cond = 1.48e+015)
Warning: basis matrix is ill-conditioned (cond = 2.2e+014)
Error: basis matrix is singular to working precision (cond = 1.54e+017)

I thought it could be numeric overflow so I added a divider to all my values in the constraints and the objective function but it did not solve my problem

Q1 : what "matrix is ill-conditioned" means ? do I have any kind of inconsistencies in my constraints ?
Q2 : what is this "working precision" ?
Q3 : what can be the source of this problem : my constraints ? my objective ?

Thank you for your help

Cheers
Christophe


Christophe Garcia
Resp Developpements Informatique
Stanley Security

3 chemin du Torey, 69340 Francheville, France
T +33 4 72 59 26 97 | F +33 4 72 59 26 79 | M +33 6 23 31 88 94
[email protected] | www.stanleyblackanddecker.com<http://www.stanleyblackanddecker.com/>

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