Assessing software quality attributes (such as performance, reliability, and security) from source
code is of the utmost importance. The performance of a software system can be improved by its parallel
and distributed execution. The aim of the parallel and distributed execution is to speed up by providing the
maximum possible concurrency in executing the distributed segments. It is a well known fact that distributing
a program cannot be always caused speeding up the execution of it; in some cases, this distribution can have
negative effects on the running time of the program. Therefore, before distributing a source code, it should be
specified whether its distribution could cause maximum possible concurrency or not. The existing methods
and tools cannot achieve this aim from the source code. In this paper, we propose a mathematical relationship
for object oriented programs that statically analyze the program by verifying the type of synchronous and
asynchronous calls inside the source code. Then, we model the invocations of the software methods by
Discrete Time Markov Chains (DTMC). Using the properties of DTMC and the proposed mathematical
relationship, we will determine whether or not the source code can be distributed on homogeneous processors.
The experimental results showed that we can specify whether the program is distributable or not, before
deploying it on the distributed systems.
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