<p>There is <a href="http://www.stat.berkeley.edu/~aldous/RWG/book.html" rel="noreferrer">this</a> unpublished book by Aldous and Fill, two experts in the field. You'll find walks on product of chains there.</p>

CC BY-SA 2.5
2010-08-18T01:54:53.537Z
2010-08-18T01:54:53.537Z
Marcos Villagra
<p>I'm especially interested in their use in model checking applications.  I have Open, Closed and Mixed Networks of Queues with Different Classes of Customers by Baskett et al.  Any other suggestions for reading material?  Thanks.</p>

CC BY-SA 3.0
2017-06-28T00:16:00.050Z
What are the types of tasks interesting with HMM for you?
Vasyl Lyashkevych
CC BY-SA 2.5
2010-08-18T01:58:33.980Z
what exactly do you have in mind? Sampling or search applications?
Marcos Villagra
CC BY-SA 2.5
2010-08-18T02:07:21.837Z
sorry, you've said model checking. I don't know much about that stuff, so I don't know which complexity metric is more important. It seems to me that for probabilistic model checking you need to know the stationary distribution, so maybe a survey on mixing times could be more useful.
Marcos Villagra
<reference-request><markov-chains><queueing-theory><model-checking>
Can someone suggest a recent survey on product form Markov chains?
Aaron Sterling
# Can someone suggest a recent survey on product form Markov chains?

(Asked by: username_0 on 2010-08-18)

I'm especially interested in their use in model checking applications. I have Open, Closed and Mixed Networks of Queues with Different Classes of Customers by Baskett et al. Any other suggestions for reading material? Thanks.

**Tags:** reference-request, markov-chains, queueing-theory, model-checking

> **Comments:**
> **username_2**: what exactly do you have in mind? Sampling or search applications?  
> **username_2**: sorry, you've said model checking. I don't know much about that stuff, so I don't know which complexity metric is more important. It seems to me that for probabilistic model checking you need to know the stationary distribution, so maybe a survey on mixing times could be more useful.  
> **username_1**: What are the types of tasks interesting with HMM for you?  

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## 1 answers

### Answer by username_2 on 2010-08-18. Score: 7 | Accepted answer

There is [this](http://www.stat.berkeley.edu/~aldous/RWG/book.html) unpublished book by Aldous and Fill, two experts in the field. You'll find walks on product of chains there.


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