[Turkmath:5747] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

GTU Mathematics mathgtu at gmail.com
Sun Sep 25 20:35:28 UTC 2022


Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri
kapsamında, 30 Eylül Cuma günü saat 14:00'da Doç. Dr. Mădălina Erașcu (West
University of Timișoara, Romania) bir seminer verecektir. Seminerin
detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 30nd of
September by Assoc. Prof. Mădălina Erașcu (West University of Timișoara,
Romania).

Time and place: At 14:00 in Department of Mathematics, Lecture Room 3

Title: A symbiosis of constraint optimization, symmetries and symmetry
breaking for scalable Cloud deployment problems

Abstract: Constraint optimization, symmetries and symmetry breaking have
long been studied by mathematicians. Despite this, when it comes to apply
them to real-world problems, for example the deployment in the Cloud of the
component-based applications, challenges appear. One such challenge is the
scalability issue of traditional constraint optimization techniques, for
example constraints programming, mathematical programming, optimization
modulo theory, and the application of suitable symmetry breakers to
overcome this issue.

We overcome it by methodologically analyzing the particularities of the
problem to be solved with the aim of identifying search space reduction
methods. These are methods exploiting:

· the symmetries of the underlying problem (Cloud deployment of
component-based applications),

· the graph representation associated to the structural constraints
specific to each particular application, and

· their combination.

An extensive experimental analysis has been conducted on 4 classes of
real-world problems, using 19 symmetry breaking strategies and 3 types of
optimization solvers.

As a result, the combination of two symmetry breakers, a variable reduction
strategy with a column-wise symmetry breaker, led to a scalable deployment.
However, one would expect that the best symmetry breaker is one composing a
higher number of individual symmetry breakers as more symmetries are broken
so the search space is significantly reduced. The experiments proved that
this is not true. An explanation is, on one hand, the number of added
constraints which influences the solving time, on the other hand, the
symmetry breakers can interact badly with the underlying optimization
techniques implemented by the solvers we used.
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