Add review for meta-heuristic methods
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review_2/review_2.tex
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review_2/review_2.tex
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\documentclass[11pt,a4paper]{article}
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\usepackage[T1]{fontenc}
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\usepackage[utf8]{inputenc}
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\usepackage[english]{babel}
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\usepackage{csquotes}
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\usepackage[margin=1in]{geometry}
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\usepackage{hyperref}
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\usepackage{ulem}
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\begin{document}
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\section{Summary}
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\label{sec:Summary}
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The paper starts with providing the motivation for studying the traveling
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tournament problem (TTP) and giving an example for its application to a real
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world scenario. The complexity of the problem is introduced and opens the stage
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for algorithms that solve the traveling tournament problem in a reasonable
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amount of time. Next, the problem is defined by formulating the inputs,
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constraints that have to be satisfied by solutions and the goal. An example
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illustrating the problem and a solution is given. Simulated annealing is
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discussed as the first approach to solving TTP. The search for solutions is
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allowed to `backtrack' in a sense so that escaping local minima is possible. The
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size and frequency of such moves is decreasing over time. Additional techniques
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for refining the search for solutions are discussed and referenced in
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pseudocode. A parallel variation of the simulated annealing algorithm is
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analyzed in section 4, giving better performance overall. The third approach ant
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colony optimization has multiple iterative algorithms searching for a solution
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randomly. Shorter paths are traveled more often than longer paths and are
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therefore more promising. Due to positive feedback, more and more instances are
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prioritizing the shortest path found so far. Section 6 compares the performance
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of the three different approaches to solving TTP and the conclusion gives a
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short outlook on promising research directions for the future.
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\section{Evaluation}
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\label{sec:Evaluation}
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The paper is very well written, giving a carefully selected introduction to TTP
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and meta-heuristic methods. Due to the structure being clear and
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straightforward, following the descriptions and discussions is effortless.
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The abstract has all the necessary information, hinting at the complexity of
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TTP, possible solutions and the structure of the paper.
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The introduction touches upon the motivation for solving TTP. I would suggest
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including a short sentence or two about the structure of the paper (like in the
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abstract) and a transition to the next section, which would aid the reader in
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keeping context. I would also suggest including a short description of what
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meta-heuristics are because the term is used later on but never explained.
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Section 2 establishes an intuitive problem setting without going into too much
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detail. The sentence beginning with \enquote{Now the goal \dots} could be
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formulated differently because it sounds like teams have to play away games
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exclusively between leaving and returning home. If possible, giving a short
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sentence to transition to section 3 would add more `natural flow' to the paper.
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The section on simulated annealing is very informative and written in a way that
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is easy to understand for a layman. Especially the two subsections (3.1 and 3.2)
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help with gaining a deeper understanding. When walking through the pseudocode in
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figure 2, a fifth point on what happens after point four would be beneficial.
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For example a sentence about how long the process is looped and when it
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terminates might be a possibility. For section 3.2 I would avoid having two
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headlines without any text between them. A sentence about what these advanced
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techniques accomplish should suffice. In section 3.2.1 it is mentioned that the
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parameter $w$ is chosen but not how it is chosen (arbitrarily or according to a
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rule?). The same applies to section 3.2.3 where it is not entirely clear how the
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number of maximum reheats (\emph{maxR}) is set.
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The figure in section 4 explains the concept of PBSA very well.
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Section 5 has a well written introduction which allows the reader to gain an
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intuitive understanding of this approach. It might not be clear to the reader,
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however, what the pheromone matrix contains (solutions and their pheromone
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levels?). For section 5.2 I would suggest mentioning whether unsafe backjumping
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has disadvantages regarding the quality of solutions.
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Section 6 is short and to the point and succinctly compares the performance of
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the three approaches. If a performance evaluation of ACO on the same dataset as
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in figure 4 could be found, the comparison would be even more meaningful.
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For the conclusion it is generally best to avoid introducing new references and
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terms. I would therefore suggest expanding on future research directions like
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the last sentence does. The sentence on recent advances might belong more to the
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introduction than the conclusion.
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The language used throughout the paper is consistently on a high level, although
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small typing errors can be found (e.g., section 1 \enquote{\dots with the
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constraint satisfaction \sout{what} that makes\dots}; section 3.2.2
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\sout{devides} divides).
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The references are used correctly and the bibliography provides the necessary
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information. The paper is within the 7-10 page bound. The figures are a bit
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blurry, so either trying to include a higher resolution version or rewriting
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some of the figures in \LaTeX\ (e.g., the table in fig. 1 and the algorithm in
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fig. 2) can be an improvement. The figures are still readable so this is just an
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aesthetic suggestion.
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Overall the paper is of very high quality and almost no points of criticism can
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be found. The suggestions above are minor issues only.
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\section{Minor issues}
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\label{sec:Minor issues}
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\begin{itemize}\setlength{\itemsep}{0pt}
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\item Some spelling mistakes (see section~\ref{sec:Evaluation} for
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suggestions)
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\item Blurry images
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\item Conclusion introducing new terms
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\item Minor additions to expand on definitions (the weight parameter $w$ and
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the pheromone matrix)
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\end{itemize}
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\end{document}
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