Hi, I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance Osank jain
Hallo Osank, As far as I remember it is done via uniformization and definitely not via differential equations. The source code file name should either have "ctmc" in its name or "uniform" (as far as I remember :-D ). Ivan On Tue, Jul 9, 2013 at 11:07 AM, Osank Jain <osankjain@gmail.com> wrote:
Hi, I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance Osank jain
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-- Best regards, Ivan <http://www.tainichok.ru/>
Hi Evan, Thanks ,I saw the code for ctmc module . I want to ask if there are other tools that analyse transient properties of ctmc by differential equations,I really want to learn that Thanks Osank jain. On Tue, Jul 9, 2013 at 3:08 PM, Ivan Zapreev <ivan.zapreev@gmail.com> wrote:
Hallo Osank,
As far as I remember it is done via uniformization and definitely not via differential equations. The source code file name should either have "ctmc" in its name or "uniform" (as far as I remember :-D ).
Ivan
On Tue, Jul 9, 2013 at 11:07 AM, Osank Jain <osankjain@gmail.com> wrote:
Hi, I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance Osank jain
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-- Best regards,
Osank, Ok, I see. Perhaps there are also other tools that do it with differential equations but not any tools I know of... Kind regards, Ivan On Tue, Jul 9, 2013 at 12:42 PM, Osank Jain <osankjain@gmail.com> wrote:
Hi Evan, Thanks ,I saw the code for ctmc module . I want to ask if there are other tools that analyse transient properties of ctmc by differential equations,I really want to learn that Thanks Osank jain.
On Tue, Jul 9, 2013 at 3:08 PM, Ivan Zapreev <ivan.zapreev@gmail.com>wrote:
Hallo Osank,
As far as I remember it is done via uniformization and definitely not via differential equations. The source code file name should either have "ctmc" in its name or "uniform" (as far as I remember :-D ).
Ivan
On Tue, Jul 9, 2013 at 11:07 AM, Osank Jain <osankjain@gmail.com> wrote:
Hi, I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance Osank jain
_______________________________________________ MRMC-users mailing list MRMC-users@lists.rwth-aachen.de https://mailman.rwth-aachen.de/mailman/listinfo/mrmc-users
-- Best regards,
-- Best regards, Ivan <http://www.tainichok.ru/>
Dear Osank, Op 9 jul. 2013, om 12:42 heeft Osank Jain het volgende geschreven:
Thanks ,I saw the code for ctmc module . I want to ask if there are other tools that analyse transient properties of ctmc by differential equations,I really want to learn that
I think your question is on a different level. A transient analysis problem can be posed as a differential equation, and its closed-form solution is the exponential of a matrix. This is where every analysis method of CTMCs agrees. So in some sense, every CTMC analyser uses differential equations. But then come the differences: MRMC has chosen to calculate this matrix exponential using uniformisation, while others choose to calculate it in a different way. There is an article entitled ``Nineteen dubious ways to calculate the exponential of a matrix'' by Moler, SIAM Review 2003. Uniformisation is one method suitable for not-too-stiff CTMCs. Perhaps you are looking for other ways to exponentiate the matrix, so that article might help you. On Tue, Jul 9, 2013 at 11:07 AM, Osank Jain <osankjain@gmail.com> wrote:
I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance
The relevant source file is src/modelchecking/transient_ctmc.c. It uses src/algorithms/foxglynn.c. Unfortunately, there are some bugs in the latter file, because there are some typos in the article by Fox and Glynn; see my technical report https://pms.cs.ru.nl/iris-diglib/src/getContent.php?id=2011-Jansen-Understan... for details. I have corrected these bugs in a separate branch of the MRMC svn repository, namely ^branches/nijmegen-small-improvements/src/algorithms/foxglynn.c. Kind regards, David N. Jansen.
Hi David , You really got my question right and really thanks for such detailed explanation Actually I looking to see some code and hence looking for some tool which could help thanks Osank jain On Tue, Jul 9, 2013 at 6:15 PM, David N. Jansen <dnjansen@cs.ru.nl> wrote:
Dear Osank,
Op 9 jul. 2013, om 12:42 heeft Osank Jain het volgende geschreven:
Thanks ,I saw the code for ctmc module . I want to ask if there are other tools that analyse transient properties of ctmc by differential equations,I really want to learn that
I think your question is on a different level. A transient analysis problem can be posed as a differential equation, and its closed-form solution is the exponential of a matrix. This is where every analysis method of CTMCs agrees. So in some sense, every CTMC analyser uses differential equations.
But then come the differences: MRMC has chosen to calculate this matrix exponential using uniformisation, while others choose to calculate it in a different way. There is an article entitled ``Nineteen dubious ways to calculate the exponential of a matrix'' by Moler, SIAM Review 2003. Uniformisation is one method suitable for not-too-stiff CTMCs. Perhaps you are looking for other ways to exponentiate the matrix, so that article might help you.
On Tue, Jul 9, 2013 at 11:07 AM, Osank Jain <osankjain@gmail.com> wrote:
I was just getting into mmrc.I want to know how the transient analysis of CTMC is done by uniformization or diiferential equations I'd be great if someone give some details and point me towards it's code in the package as I not getting it. Thanks in advance
The relevant source file is src/modelchecking/transient_ctmc.c. It uses src/algorithms/foxglynn.c. Unfortunately, there are some bugs in the latter file, because there are some typos in the article by Fox and Glynn; see my technical report https://pms.cs.ru.nl/iris-diglib/src/getContent.php?id=2011-Jansen-Understan... details. I have corrected these bugs in a separate branch of the MRMC svn repository, namely ^branches/nijmegen-small-improvements/src/algorithms/foxglynn.c.
Kind regards, David N. Jansen.
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participants (3)
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David N. Jansen -
Ivan Zapreev -
Osank Jain