Fair Resource Allocation Schemes for Cooperative Dynamic Free-Space Optical Networks

Abdallah S. Ghazy; Hossam A. I. Selmy; Hossam M. H. Shalaby

doi:10.1364/JOCN.8.000822

Journal of Optical Communications and Networking
Vol. 8,
Issue 11,
pp. 822-834
(2016)
•https://doi.org/10.1364/JOCN.8.000822

Fair Resource Allocation Schemes for Cooperative Dynamic Free-Space Optical Networks

Abdallah S. Ghazy, Hossam A. I. Selmy, and Hossam M. H. Shalaby

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Abdallah S. Ghazy, Hossam A. I. Selmy, and Hossam M. H. Shalaby, "Fair Resource Allocation Schemes for Cooperative Dynamic Free-Space Optical Networks," J. Opt. Commun. Netw. 8, 822-834 (2016)

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Abstract

Free-space optics (FSO) presents a promising solution for the last-mile connectivity problem. However, adverse weather conditions like fog, rain, and snow, can significantly degrade the performance of FSO links. Thus, the implementation of reliable FSO networks becomes a significant issue. At the same implementation cost, dynamic (reconfigurable) FSO networks are more robust against severe weather conditions over static ones. In this paper, two resource allocation schemes are proposed for dynamic cooperative FSO networks. Each scheme is formulated as a multi-objective optimization problem, where capacity, reliability-fairness, average transmitted power, and bit-error rate functions are targeted. One scheme prioritizes the reliability-fairness over capacity, while the other does the opposite. The simulation results reveal that the proposed schemes are more reliable and cost efficient than traditional relayed networks, especially under severe weather conditions.

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Equations (24)

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$v$	Node vector $(1 \times (N + 1))$
$γ$	Loss coefficient matrix $((N + 1) \times (N + 1))$
$G$	Connection matrix $((N + 1) \times (N + 1))$
$R_{l k j}$	Bit rate of $k$ th node to node $j$ for $l$ th configuration
$R_{l k}$	Bit rate of $k$ th node for $l$ th configuration
$r_{l}$	Bit rate vector for $l$ th configuration $(1 \times N)$
$R$	Bit rate matrix $(Λ \times N)$
${BER}_{l k j}$	Bit-error rate of $k$ th node to $j$ th node for $l$ th configuration
${BER}_{l k}$	Bit-error rate of $k$ th node for $l$ th configuration
$e_{l}$	Bit-error rate vector for $l$ th configuration $(1 \times N)$
$E$	Bit-error rate matrix $(Λ \times N)$
${BER}_{\max}$	Bit-error rate threshold
$C_{l}$	Capacity of the network for $l$ th configuration
$C$	Capacity vector ( $Λ \times 1$ )
$C_{\max}$	Maximum capacity
$T_{l i j}$	Transmission rate between $i$ and $j$ nodes for $l$ th configuration
$T_{l k}$	Transmission rate of $k$ th node for $l$ th configuration
$Z_{k}$	Number of transceivers of $k$ th node
$P_{l i j}$	Power of $i$ , $j$ link for $l$ th configuration

Link Parameters	Values
Signal wavelength ( $λ$ )	1550 nm
Divergence angle ( $Θ$ )	2 mm.rad/m
Diameter of transmitter ( $d_{t}$ )	4 cm
Diameter of receiver ( $d_{r}$ )	20 cm
Average transmitted signal counts/slot ( $q_{t} = q_{s} / γ$ )	250,000
Average background counts/slot ( $q_{b}$ )	50
Average transmitted power ( $P$ )	$- 15 dBm$
Average background noise power	$- 52 dBm$
Discrete bit rates ( ${x_{X}, \dots, x_{2}, x_{1}}$ ) in Gbps	1, 3/4, 2/3, 1/2, 1/3, 1/4
Modulation format	NR-OOK
BER threshold ( ${BER}_{\max}$ )	$10^{- 4}$
Area of FSO network	$3 km \times 3 km$
Area of FSO node cell	$1 km \times 1 km$

$v$	Node vector $(1 \times (N + 1))$
$γ$	Loss coefficient matrix $((N + 1) \times (N + 1))$
$G$	Connection matrix $((N + 1) \times (N + 1))$
$R_{l k j}$	Bit rate of $k$ th node to node $j$ for $l$ th configuration
$R_{l k}$	Bit rate of $k$ th node for $l$ th configuration
$r_{l}$	Bit rate vector for $l$ th configuration $(1 \times N)$
$R$	Bit rate matrix $(Λ \times N)$
${BER}_{l k j}$	Bit-error rate of $k$ th node to $j$ th node for $l$ th configuration
${BER}_{l k}$	Bit-error rate of $k$ th node for $l$ th configuration
$e_{l}$	Bit-error rate vector for $l$ th configuration $(1 \times N)$
$E$	Bit-error rate matrix $(Λ \times N)$
${BER}_{\max}$	Bit-error rate threshold
$C_{l}$	Capacity of the network for $l$ th configuration
$C$	Capacity vector ( $Λ \times 1$ )
$C_{\max}$	Maximum capacity
$T_{l i j}$	Transmission rate between $i$ and $j$ nodes for $l$ th configuration
$T_{l k}$	Transmission rate of $k$ th node for $l$ th configuration
$Z_{k}$	Number of transceivers of $k$ th node
$P_{l i j}$	Power of $i$ , $j$ link for $l$ th configuration

Link Parameters	Values
Signal wavelength ( $λ$ )	1550 nm
Divergence angle ( $Θ$ )	2 mm.rad/m
Diameter of transmitter ( $d_{t}$ )	4 cm
Diameter of receiver ( $d_{r}$ )	20 cm
Average transmitted signal counts/slot ( $q_{t} = q_{s} / γ$ )	250,000
Average background counts/slot ( $q_{b}$ )	50
Average transmitted power ( $P$ )	$- 15 dBm$
Average background noise power	$- 52 dBm$
Discrete bit rates ( ${x_{X}, \dots, x_{2}, x_{1}}$ ) in Gbps	1, 3/4, 2/3, 1/2, 1/3, 1/4
Modulation format	NR-OOK
BER threshold ( ${BER}_{\max}$ )	$10^{- 4}$
Area of FSO network	$3 km \times 3 km$
Area of FSO node cell	$1 km \times 1 km$

Abstract

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Figures (20)

Tables (2)

Equations (24)

Journal of Optical Communications and Networking