\documentclass[12pt]{article} \usepackage{amsfonts} \usepackage{epsfig} \oddsidemargin=0cm \textwidth=6.5in \textheight=9in \topmargin=0cm \renewcommand{\baselinestretch}{1.2} \usepackage{graphicx} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}[theorem]{Exercise} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \newcommand{\be}{\begin{enumerate}} \newcommand{\ee}{\end{enumerate}} \newcommand{\bc}{\begin{center}} \newcommand{\ec}{\end{center}} \newcommand{\da}{\mbox{$\dag$}} \newcommand{\sas}{\mbox{$\S$}} \newcommand{\bi}{\begin{itemize}} \newcommand{\ei}{\end{itemize}} \newcommand{\ii}{\item} \newcommand{\beq}{\begin{equation}} \newcommand{\eeq}{\end{equation}} \begin{document} \title{Response to Reviewer \# 1} \date{ } \maketitle \noindent We thank the reviewer for comments and suggestions. %We have carefully %considered all major and minor points you raised. In particular:\\ % All the required modifications %he/she suggested have been carefully addressed. In particular: \smallskip \noindent {\bf Major comments:} \smallskip \be \ii The introduction on energy production planning problem has been significantly enriched as suggested by the reviewer \ii Section 2 reports now the complete description of the problem as it has been proposed by EDF: all the constraints have been introduced and the notation homogenized %rSection number 4, which is now Section 5, has been completely rewritten. The variables of the original formulation have been used for improving the description of the constraints. \ii The general organization of the paper has been completely revised. A compact model of the original problem has been introduced and it has been used for describing the applied decomposition and the solution method (Sections (3) and (4)). \ii The Computational results Section has been revised. A table reporting the computational time has been added. The analysis of the results have been improved. \ii A section Conclusion has been added as suggested by several reviewers \ii English quality has been checked very carefully and we have corrected several grammar and spelling mistakes. The paper should be in proper English. \ee \noindent {\bf Minor comments:} \smallskip We thank the referee for the long list of precious and punctual minor comments that he/she made on the paper. All these comments have been taken into account. Thanks. %\be %\ii We remove the sentence in the abstract and modify the introduction. %\ii We mention the existence of similar mathematical formulations for the problem. %\ii We simplify the description of instances citing existing papers. %\ii We believe that the description of CORAL algorithm step by step in a more detailed way %can be more clear than in pseudo code. % %\ee \end{document}