**5. Experimental results**

**Figure 1** shows results of Simulation 1. **Figures 2** and **3** show the results of Simulation 2.

In **Figure 2**, the horizontal axis represents time steps, and the vertical axis represents the amount of aircraft (maximum 1000). The blue curve shows the case of *K* = 0.1, the green curve shows the case of *K* = 0.316, and the yellow curve shows the case of *K* = 1. All curves were plotted under the condition of *k* = 1.

Typical values of **Figure 2** are picked up in **Table 1**. Time steps 1, 30, and 60 correspond to 1, 30, and 60 s after the start of the communication, respectively.

The horizontal axis and the vertical axis of **Figure 3** represent generations and the overall range of hops needed for data transmission, respectively. The blue curve shows the case of *K* = 0.1, the green curve shows the case of *K* = 0.316, and the yellow shows the case of *K* = 1 under the condition of *k* = 1 in Eq. (2).

**37**

**Table 1.**

*Velocity of the spread of shared information.*

**Figure 3.** *Number of hops.*

> *K* **Generation 1 Generation 30 Generation 60** 0.1 98 871 953 0.316 269 977 992 1 612 996 1000

**Figure 2.**

*Number of aircraft reached.*

*Design of an Ad Hoc Mesh Network for Aircrafts DOI: http://dx.doi.org/10.5772/intechopen.86510*

**Figure 1.** *Simulation parameters (yellow, K = 0.1; green, K = 0.316; blue, K = 1).*

*Design of an Ad Hoc Mesh Network for Aircrafts DOI: http://dx.doi.org/10.5772/intechopen.86510*

*Wireless Mesh Networks - Security, Architectures and Protocols*

The authors have done the following two investigations.

parameter.

results.

path is unstable.

path is unstable.

Simulation 2.

**5. Experimental results**

**Number of aircraft.** 1000 aircraft are randomly placed in the airspace.

**Probability of successful communication.** The probability of the successful communication is based on Eq. (2) according to the interval between the aircrafts. However, the authors set *k* = 1 and simulate *K* as *K* ∈ {0.1,0.316,1}. **Figure 1** shows the probability of success depending on the interval for each

For every simulation, the authors transmitted data from aircraft *a*999 to *a*0 in each time step. If the data did not reach *a*0 in a single time step, and if they reached *an* where *n* ≠ 0, then *an* attempted to send the data to *a*0 in the next time step.

Theoretically, the attenuation term *dijk* in Eq. (4) must be equal to or less than 1, and the authors assumed that *dijk* = 1 in the simulations to clarify the experimental

**Simulation 1.** Investigate the degree of data transmission per time step using multi-hop communication via neighboring aircraft wherever the communication

**Simulation 2.** Investigate the entire range of hops for every time step using multi-hop communication via neighboring aircraft wherever the communication

**Figure 1** shows results of Simulation 1. **Figures 2** and **3** show the results of

In **Figure 2**, the horizontal axis represents time steps, and the vertical axis represents the amount of aircraft (maximum 1000). The blue curve shows the case of *K* = 0.1, the green curve shows the case of *K* = 0.316, and the yellow curve shows

Typical values of **Figure 2** are picked up in **Table 1**. Time steps 1, 30, and 60 correspond to 1, 30, and 60 s after the start of the communication, respectively. The horizontal axis and the vertical axis of **Figure 3** represent generations and the overall range of hops needed for data transmission, respectively. The blue curve shows the case of *K* = 0.1, the green curve shows the case of *K* = 0.316, and the yel-

the case of *K* = 1. All curves were plotted under the condition of *k* = 1.

low shows the case of *K* = 1 under the condition of *k* = 1 in Eq. (2).

*Simulation parameters (yellow, K = 0.1; green, K = 0.316; blue, K = 1).*

**36**

**Figure 1.**

**Figure 2.** *Number of aircraft reached.*

**Figure 3.** *Number of hops.*


### **Table 1.**

*Velocity of the spread of shared information.*
