Table and Tikzpicture not displaying using this document class and paper style

Question

How to modify the Latex code for the following table and tikzpicture so that the output will display properly using this document class.

\documentclass[twoside]{article}


\usepackage[sc]{mathpazo} % Use the Palatino font
\usepackage[T1]{fontenc} % Use 8-bit encoding that has 256 glyphs
\linespread{1.05} % Line spacing - Palatino needs more space between lines
\usepackage{microtype} % Slightly tweak font spacing for aesthetics

\usepackage[hmarginratio=1:1,top=32mm,columnsep=20pt]{geometry} % Document margins
\usepackage{multicol} % Used for the two-column layout of the document
\usepackage[hang, small,labelfont=bf,up,textfont=it,up]{caption} % Custom captions under/above floats in tables or figures
\usepackage{booktabs} % Horizontal rules in tables
\usepackage{float} % Required for tables and figures in the multi-column environment - they need to be placed in specific locations with the [H] (e.g. \begin{table}[H])
\usepackage{hyperref} % For hyperlinks in the PDF

\usepackage{lettrine} % The lettrine is the first enlarged letter at the beginning of the text
\usepackage{paralist} % Used for the compactitem environment which makes bullet points with less space between them


\usepackage{graphicx}
%[dvips]
%\usepackage{amsmath}
\usepackage{mathtools}
\usepackage{caption}

\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{tikz}
\usepackage{tikz-cd}
\usepackage{algorithm}
\usepackage{algorithmic}
\algsetup{linenosize=\small}
\usepackage[font=small]{caption}


\usepackage{abstract} % Allows abstract customization
\renewcommand{\abstractnamefont}{\normalfont\bfseries} % Set the "Abstract" text to bold
\renewcommand{\abstracttextfont}{\normalfont\small\itshape} % Set the abstract itself to small italic text

\usepackage{titlesec} % Allows customization of titles
\renewcommand\thesection{\Roman{section}} % Roman numerals for the sections
\renewcommand\thesubsection{\Roman{subsection}} % Roman numerals for subsections
\titleformat{\section}[block]{\large\scshape\centering}{\thesection.}{1em}{} % Change the look of the section titles
\titleformat{\subsection}[block]{\large}{\thesubsection.}{1em}{} % Change the look of the section titles

\usepackage{fancyhdr} % Headers and footers
\pagestyle{fancy} % All pages have headers and footers
\fancyhead{} % Blank out the default header
\fancyfoot{} % Blank out the default footer
\fancyhead[C]{Improved Cuckoo Search for TTP} % Custom header text
\fancyfoot[RO,LE]{\thepage} % Custom footer text

%----------------------------------------------------------------------------------------
%   TITLE SECTION
%----------------------------------------------------------------------------------------

\title{\vspace{-15mm}\fontsize{17pt}{10pt}\selectfont\textbf{An Improved Cuckoo Search algorithm for the Traveling Tournament Problem}} % Article title


\author{
\large
\textsc{Sandile Saul, Adewumi Aderemi Oluyinka}\thanks{The financial assistance of the National Research Foundation (NRF) towards this research is hereby acknowledged. Opinions expressed and conclusions arrived at, are those of the author and are not necessarily to be attributed to the NRF.}\\[2mm] % Your name
\normalsize School of Mathematics, Statistics and Computer Science\\ \normalsize University of Kwazulu-Natal,
Westville Campus,\\ \normalsize Durban, 4000,
South Africa\\ % Your institution
\normalsize \href{mailto:adewumia@ukzn.ac.za}{adewumia@ukzn.ac.za} % Your email address
\vspace{-5mm}
}


\date{}

%----------------------------------------------------------------------------------------

\begin{document}


\begin{center}
\begin{figure}[h!]
\centering
\begin{tikzpicture}[%
  back line/.style={densely dotted},
  cross line/.style={preaction={draw=white, -,line width=8pt}}]
\node (A) {$8$};
\node (B)[below of=A] {$1$};
\node (C) [node distance=1.5cm, right of=B, below of=B]{$2$};
\node (D) [node distance=1.5cm, left of=C, below of=B]{$7$};
\node (E) [node distance=1.5cm, below of=C]{$3$};
\node (F) [node distance=3.0cm, left of=E]{$6$};
\node (G) [node distance=0.8cm, left of=E, below of=E]{$4$};
\node (H) [node distance=0.8cm, right of=G, below of=F]{$5$};
\draw[cross line] (B) -- (C);
\draw[cross line] (C) -- (E);
\draw[cross line] (E) -- (G);
%\draw[cross line] (G) -- (H);
\draw[cross line] (H) -- (F);
\draw[cross line] (F) -- (D);
\draw[cross line] (D) -- (B);
\draw[<->, dashed] (C) to node {} (D);
\draw[<->, dashed] (F) to node {} (E);
\draw[<->, dashed] (G) to node {} (H);
\draw[<->, dashed] (A) to node {} (B);
\end{tikzpicture}
\caption{Polygon method for $n$ = 8.}
\end{figure}
\end{center}

\begin{table}{H!}
\caption{Results produced by the execution of the polygon method.}
\centering
\begin{tabular}{lllr}
\toprule(r){1-4}
$T_i \textbackslash k$ & 1 & 2 & 3 \\
 \midrule
1 & 8 & 6 & 4 \\    
2 & 7 & 5 & 3 \\
3 & 6 & 4 & 2 \\
4 & 5 & 3 & 1 \\
5 & 4 & 2 & 7 \\
6 & 3 & 1 & 8 \\
7 & 2 & 8 & 5 \\
8 & 1 & 7 & 6 \\
\bottomrule
\end{tabular}
\end{table}

\begin{table}{H}
\caption{Results produced by the execution of the polygon method.}
\centering
\begin{tabular}{rrrrrrrrr}
\toprule
$T_i \textbackslash k$ & 1 & 2 & 3 & 4 & 5 & 6 & 7\\
 \midrule
1 & 8 & 6 & 4 & 2 & 7 & 5 & 3\\ 
2 & 7 & 5 & 3 & 1 & 6 & 4 & 8\\
3 & 6 & 4 & 2 & 7 & 5 & 8 & 1\\
4 & 5 & 3 & 1 & 6 & 8 & 2 & 7\\
5 & 4 & 2 & 7 & 8 & 3 & 1 & 6\\
6 & 3 & 1 & 8 & 4 & 2 & 7 & 5\\
7 & 2 & 8 & 5 & 3 & 1 & 6 & 4\\
8 & 1 & 7 & 6 & 5 & 4 & 3 & 2\\
\bottomrule
\end{tabular}
\end{table}

\end{thebibliography}

\end{multicols}

\end{document}

Answer 1

Here is an MWE which reproduces the problem. Note that the problem has nothing to do with figures or tables.

\documentclass[twoside]{article}

\usepackage[hmarginratio=1:1,top=32mm,columnsep=20pt]{geometry}
\usepackage{multicol}
\usepackage[hang, small,labelfont=bf,up,textfont=it,up]{caption}
\usepackage{booktabs}
\usepackage{float}
\usepackage{hyperref}
\usepackage{lettrine}
\usepackage{paralist}
\usepackage{mathtools}
\usepackage{tikz}
\usepackage{tikz-cd}
\usepackage{algorithm}
\usepackage{algorithmic}
\usepackage{titlesec}

\begin{document}

abc

\end{document}

Here's the error:

(/usr/local/texlive/2014/texmf-dist/tex/latex/titlesec/titlesec.sty
! No room for a new \dimen .
\ch@ck ...\else \errmessage {No room for a new #3}
                                                  \fi 
l.778 \newdimen\titlewidthfirst

? 

This is identical to the first error produced by the code in the question except that the line number will be different.

Note that the code above is minimal because removing any package enables the document to compile successfully.

The problem is the number of new dimensions these packages are collectively trying to create. The total number exceeds TeX's capacity.

The solution is to load etex as explained by egreg:

\documentclass[twoside]{article}
\usepackage{etex}
...