## 5 Results and Discussion
### Random Walk Analysis: Information Content Analysis  
In this subsection, the information theory analysis of the random walk technique is evaluated. The following techniques were used: partial information content, expected partial information content, information stability, entropy, information content, density basin information, regularity, and evolvability portrait. Table 5. presents the information content analysis evaluation methods. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Type** & **Distance** & **Lower Bound** & **Upper Bound** \\ \hline \multicolumn{4}{c}{**Order crossover**} \\ \hline Fitness values & Fitness (fitness unit) & 120,000 & 140,000 \\ Average of fitness distances & Fitness (fitness unit) & 2000 & 10,000 \\ Average of hamming distances & Hamming (hamming distance unit) & 30 & 34 \\ Average of basic swap sequence distances & Basic swap sequence (basic swap & 23 & 28 \\ Average of basic swap sequence distance unit) & 23 & 28 \\ Fitness distances of best solution & Fitness (fitness unit) & 1000 & 16,000 \\ Hamming distances of best solution & Hamming (hamming distance unit) & 2 & 40 \\ Basic swap sequence distances of best solution & Basic swap sequence (basic swap & 2 & 34 \\  & sequence distance unit) & 1 & 3 \\ Cost of density & — & 1 & 3 \\ Fitness distance of filtered global optima & Fitness (fitness unit) & 0 & 11,000 \\ Hamming distance of filtered global optima & Hamming (hamming distance unit) & 28 & 38 \\ Basic swap sequence distance of filtered global optima & Basic swap sequence (basic swap & 22 & 32 \\  & sequence distance unit) & & \\ \hline \multicolumn{4}{c}{**Cycle crossover**} \\ \hline Fitness values & Fitness (fitness unit) & 120,000 & 140,000 \\ Average of fitness distances & Fitness (fitness unit) & 1800 & 5000 \\ Average of hamming distances & Hamming (hamming distance unit) & 25 & 30 \\  & Basic swap sequence (basic swap & 20 & 24 \\ Average of basic swap sequence distances & sequence distance unit) & 0 & 9500 \\ Hamming distances of best solution & Hamming (hamming distance unit) & 0 & 38 \\ Basic swap sequence distances of best solution & Basic swap sequence (basic swap & 0 & 29 \\  & sequence distance unit) & 1 & 3 \\ Cost of density & — & 1 & 3 \\ Fitness distance of filtered global optima & Fitness (fitness unit) & 1500 & 10,500 \\ Hamming distance of filtered global optima & Hamming (hamming distance unit) & 30 & 38 \\ Basic swap sequence distance of filtered global & Basic swap sequence (basic swap & 28 & 30 \\ optima & sequence distance unit) & & \\ \hline \multicolumn{4}{c}{**Partially Matched Crossover**} \\ \hline Fitness values & Fitness (fitness unit) & 120,000 & 140,000 \\ Average of fitness distances & Fitness (fitness unit) & 2000 & 7500 \\ Average of hamming distances & Hamming (hamming distance unit) & 30 & 34 \\  & Basic swap sequence (basic swap & 23 & 27 \\  & sequence distance unit) & 0 & 13,000 \\ Fitness distances of best solution & Fitness (fitness unit) & 0 & 13,000 \\ Hamming distances of best solution & Hamming (hamming distance unit) & 2 & 40 \\ Basic swap sequence distances of best solution & Basic swap sequence (basic swap & 1 & 34 \\  & sequence distance unit) & 1 & 2 \\ Cost of density & — & 1 & 2 \\ Fitness distance of filtered global optima & Fitness (fitness unit) & 3500 & 17,000 \\ Hamming distance of filtered global optima & Hamming (hamming distance unit) & 30 & 40 \\ Basic swap sequence distance of filtered global & Basic swap sequence (basic swap & 22 & 34 \\  & sequence distance unit) & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: _Cont._The partial information content is 0.55 (partial information content unit) for 2-opt, 0.56 (partial information content unit) for order crossover, 0.47 (partial information content unit) for cycle crossover and 0.63 (partial information content unit) for partially matched crossover. Since the partial information content shows a rugged landscape for 1 and a flat landscape for 0, so in our case we get neither a flat nor a rugged landscape for all neighborhood techniques.