Distributed computing: looking for mathematical representation Model for Failures

joninazio

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I'm doing a research for a university work (Computer Science Degree), which consists of looking for articles in which distributed system's failures are represented through a mathematical model. The subject is Advanced Concepts in Operating Systems.

The information may be in scientific articles, researches, papers, and so on. The main aim is to investigate mathematical statistics or probabilistic (distribution functions or others) that permit represent the erratic behaviour (failures in distributed systems are common) of a distributed system/platform made of various and distinct clusters interconnected, having into account different failure levels:

  • Host.
  • Link.
  • Access node to each cluster (router/gateway), also known as Local Resource Manager, Resource Management System.

I know my subject is not about mathematics, but in essence the work focus on mathematics (I'm studying Computer Sciences).

I'm only looking for some PDF or web page in which the work is explained (paper or so on). I wish someone can lend me a hand, because I find the search difficult, so complicated but I'm trying...

Thanks :)
 
I'm not sure exactly what sort of information you're looking for, but there are a lot of readily available papers on fault tolerance in clustered/massively parallel systems.
Some examples: This, this, this, and even this.
This link has even more than what I linked above.
Hope that helps.
 
I'm not sure exactly what sort of information you're looking for, but there are a lot of readily available papers on fault tolerance in clustered/massively parallel systems.
Some examples: This, this, this, and even this.
This link has even more than what I linked above.
Hope that helps.

Hey! Thanks for the info, I'll take a look ;).

The sort of information I need is the following: papers where researchers have reached a conclusion in which they state that a certain mathematical function (e.g. a distribution function, etc) can represent the appearance of failures.

(Hope my english let me explain correctly). Is it properly explained now?

Thanks everyone!
 
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