## 6 Simulations and Numerical Analysis
### Simulation Results
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Node** & **Arrival** & **Recharging** & **Remaining Battery** & **Node** & **Arrival** & **Recharging** & **Remaining Battery** \\
**No.** & **Time (s)** & **Duration (s)** & **Energy (J)** & **No.** & **Time (s)** & **Duration (s)** & **Energy (J)** \\ \hline  
\hline \hline \end{tabular}
\end{table} 
Table 5: \(Cont.\) \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Node** & **Arrival** & **Recharging** & **Remaining Battery** & **Node** & **Arrival** & **Recharging** & **Remaining Battery** \\
**No.** & **Time (s)** & **Duration (s)** & **Energy (J)** & **No.** & **Time (s)** & **Duration (s)** & **Energy (J)** \\ \hline
5 & \(127,060\) & \(814\) & \(6755\) & \(27\) & \(142,696\) & \(972\) & \(5975\) \\
4 & \(127,894\) & \(1040\) & \(5641\) & \(26\) & \(143,687\) & \(972\) & \(5975\) \\
3 & \(128,954\) & \(1040\) & \(5641\) & \(25\) & \(144,678\) & \(972\) & \(5975\) \\
2 & \(130,015\) & \(1040\) & \(5641\) & \(24\) & \(145,669\) & \(993\) & \(5872\) \\
1 & \(131,075\) & \(1040\) & \(5641\) & \(23\) & \(146,681\) & \(993\) & \(5872\) \\
31 & \(132,235\) & \(745\) & \(7094\) & \(22\) & \(147,693\) & \(993\) & \(5872\) \\
30 & \(133,001\) & \(952\) & \(6072\) & \(21\) & \(148,705\) & \(993\) & \(5872\) \\
29 & \(133,973\) & \(952\) & \(6072\) & \(20\) & \(149,717\) & \(993\) & \(5872\) \\
12 & \(134,946\) & \(952\) & \(6072\) & \(19\) & \(150,729\) & \(993\) & \(5872\) \\
11 & \(135,918\) & \(952\) & \(6072\) & \(18\) & \(151,741\) & \(993\) & \(5872\) \\
10 & \(136,891\) & \(952\) & \(6072\) & \(17\) & \(152,753\) & \(993\) & \(5872\) \\
9 & \(137,863\) & \(952\) & \(6072\) & \(16\) & \(153,765\) & \(993\) & \(5872\) \\
8 & \(138,836\) & \(725\) & \(7191\) & \(15\) & \(154,776\) & \(2086\) & \(540\) \\
7 & \(139,582\) & \(972\) & \(5975\) & \(14\) & \(156,881\) & \(2086\) & \(540\) \\
6 & \(140,574\) & \(972\) & \(5975\) & \(13\) & \(158,986\) & \(2086\) & \(540\) \\
28 & \(141,705\) & \(972\) & \(5975\) & \(13\) & \(158,986\) & \(2086\) & \(540\) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: The working strategies for minimum hop routing in the vertical tunnel. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Node** & **Arrival** & **Recharging** & **Remaining Battery** & **Node** & **Arrival** & **Recharging** & **Remaining Battery** \\
**No.** & **Time (s)** & **Duration (s)** & **Energy (J)** & **No.** & **Time (s)** & **Duration (s)** & **Energy (J)** \\ \hline
8 & \(205,719\) & \(511\) & \(8249\) & \(37\) & \(225,430\) & \(1076\) & \(5443\) \\
7 & \(206,243\) & \(877\) & \(6430\) & \(36\) & \(226,523\) & \(1076\) & \(5443\) \\
6 & \(207,133\) & \(877\) & \(6430\) & \(35\) & \(227,615\) & \(1076\) & \(5443\) \\
5 & \(208,023\) & \(877\) & \(6430\) & \(34\) & \(228,708\) & \(1076\) & \(5443\) \\
4 & \(208,914\) & \(877\) & \(6430\) & \(33\) & \(229,800\) & \(1076\) & \(5443\) \\
3 & \(209,804\) & \(877\) & \(6430\) & \(32\) & \(230,892\) & \(1162\) & \(5018\) \\
2 & \(210,694\) & \(877\) & \(6430\) & \(31\) & \(232,071\) & \(1162\) & \(5018\) \\
1 & \(211,584\) & \(877\) & \(6430\) & \(30\) & \(233,249\) & \(1162\) & \(5018\) \\
41 & \(212,576\) & \(657\) & \(7520\) & \(29\) & \(234,427\) & \(1162\) & \(5018\) \\
40 & \(213,249\) & \(993\) & \(5857\) & \(28\) & \(235,605\) & \(1162\) & \(5018\) \\
39 & \(214,258\) & \(993\) & \(5857\) & \(27\) & \(236,784\) & \(1162\) & \(5018\) \\
38 & \(215,266\) & \(993\) & \(5857\) & \(26\) & \(237,961\) & \(1162\) & \(5018\) \\
17 & \(216,275\) & \(993\) & \(5857\) & \(25\) & \(239,138\) & \(1162\) & \(5018\) \\
16 & \(217,284\) & \(993\) & \(5857\) & \(24\) & \(240,316\) & \(1162\) & \(5018\) \\
15 & \(218,293\) & \(993\) & \(5857\) & \(23\) & \(241,493\) & \(1162\) & \(5018\) \\
14 & \(219,302\) & \(993\) & \(5857\) & \(22\) & \(242,670\) & \(1162\) & \(5018\) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: The working strategies for minimum overall energy consumption routing in the vertical tunnel.