Comprehensive Topology and Traffic Model of a Nationwide Telecommunication Network

Andreas Betker; Inken Gamrath; Dirk Kosiankowski; Christoph Lange; Heiko Lehmann; Frank Pfeuffer; Felix Simon; Axel Werner

doi:10.1364/JOCN.6.001038

Journal of Optical Communications and Networking
Vol. 6,
Issue 11,
pp. 1038-1047
(2014)
•https://doi.org/10.1364/JOCN.6.001038

Comprehensive Topology and Traffic Model of a Nationwide Telecommunication Network

Andreas Betker, Inken Gamrath, Dirk Kosiankowski, Christoph Lange, Heiko Lehmann, Frank Pfeuffer, Felix Simon, and Axel Werner

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Andreas Betker, Inken Gamrath, Dirk Kosiankowski, Christoph Lange, Heiko Lehmann, Frank Pfeuffer, Felix Simon, and Axel Werner, "Comprehensive Topology and Traffic Model of a Nationwide Telecommunication Network," J. Opt. Commun. Netw. 6, 1038-1047 (2014)

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Abstract

As a basis for meaningful simulation and optimization efforts with regard to traffic engineering or energy consumption in telecommunication networks, suitable models are indispensable. This concerns not only realistic network topologies but also models for the geographical distribution and the temporal dynamics of traffic, as well as the assumptions on network components and technology. This paper derives such a model from the practice of a large national carrier. Applying the network and traffic model, we demonstrate its use by presenting various optimization cases related to energy-efficient telecommunication. Here, we focus on load adaptivity by employing sleep modes to the network hardware, where several constraints on the reconfigurability of the network over time are considered.

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Parameters
$V$	set of core nodes
$E \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of optical fiber links
$L \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of IP links
$K \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of point-to-point commodities with nonzero demand
$d_{k}^{t} > 0$	demand for commodity $k \in K$ at time $t$
$C$	bit rate capacity of a light path
$N$	maximum number of light paths per fiber
$M_{P}$	maximum number of ports per line card
$M_{L}$	maximum number of line cards per line card shelf
$M_{S}$	maximum number of line card shelves per fabric card shelf
$M_{F}$	maximum number of fabric card shelves per core IP router site
$q_{i}^{A}$	number of line cards for aggregation network connections at $i \in V$
$E_{P}$	power consumed by one port
$E_{L}$	power consumed by one line card (without ports)
$E_{S}$	power consumed by one line card shelf (without line cards)
$E_{F}$	power consumed by one fabric card shelf (without line card shelves)
$E_{O}$	overhead power consumption at a router site
$E_{e}$	power consumed along optical link $e \in E$ (due to OLAs)
Variables
$f_{i, j}^{k}$	IP routing [flow with respect to commodity $k \in K$ over IP link $(i, j) \in L$ ]
$g_{u, v}^{ℓ}$	optical routing [light paths provided for IP link $ℓ \in L$ on optical link $(u, v) \in E$ ]
$y_{ℓ}$	number of necessary light paths on IP link $ℓ \in L$
$z_{e}$	number of necessary fibers on optical link $e \in E$
$p_{i}$	number of activated ports at node $i \in V$
$q_{i}$	number of activated line cards at node $i \in V$
$r_{i}$	number of activated line card shelves at node $i \in V$
$w_{i}$	number of activated fabric card shelves at node $i \in V$

$t_{wait} \to$	½ h		4 h		6 h		8 h
$k ↓$	MW h	%	MW h	%	MW h	%	MW h	%
1	23.4	0.0	23.4	0.0	23.4	0.0	23.4	0.0
2	19.8	15.3	19.8	15.3	19.8	15.3	20.3	13.3
3	19.2	17.9	19.2	17.9	19.2	17.9	20.2	13.6
4	18.7	20.2	19.1	18.5	19.3	17.5
5	18.5	21.0	19.1	18.4
6	18.2	22.2	19.1	18.3
⋮
48	17.0	27.7

$t_{wait} \to$	½ h		4 h		6 h		8 h
$k ↓$	MW h	%	MW h	%	MW h	%	MW h	%
1	23.4	0.0	23.4	0.0	23.4	0.0	23.4	0.0
2	20.3	13.3	20.3	13.3	20.3	13.3	20.6	12.0
3	19.7	16.0	19.7	16.0	19.7	16.0	20.5	12.4
4	19.1	18.3	19.5	16.7	19.8	15.7
5	19.0	19.0	19.6	16.5
6	18.7	20.2	19.6	16.2

Parameters
$V$	set of core nodes
$E \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of optical fiber links
$L \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of IP links
$K \subseteq (\begin{matrix} V \\ 2 \end{matrix})$	set of point-to-point commodities with nonzero demand
$d_{k}^{t} > 0$	demand for commodity $k \in K$ at time $t$
$C$	bit rate capacity of a light path
$N$	maximum number of light paths per fiber
$M_{P}$	maximum number of ports per line card
$M_{L}$	maximum number of line cards per line card shelf
$M_{S}$	maximum number of line card shelves per fabric card shelf
$M_{F}$	maximum number of fabric card shelves per core IP router site
$q_{i}^{A}$	number of line cards for aggregation network connections at $i \in V$
$E_{P}$	power consumed by one port
$E_{L}$	power consumed by one line card (without ports)
$E_{S}$	power consumed by one line card shelf (without line cards)
$E_{F}$	power consumed by one fabric card shelf (without line card shelves)
$E_{O}$	overhead power consumption at a router site
$E_{e}$	power consumed along optical link $e \in E$ (due to OLAs)
Variables
$f_{i, j}^{k}$	IP routing [flow with respect to commodity $k \in K$ over IP link $(i, j) \in L$ ]
$g_{u, v}^{ℓ}$	optical routing [light paths provided for IP link $ℓ \in L$ on optical link $(u, v) \in E$ ]
$y_{ℓ}$	number of necessary light paths on IP link $ℓ \in L$
$z_{e}$	number of necessary fibers on optical link $e \in E$
$p_{i}$	number of activated ports at node $i \in V$
$q_{i}$	number of activated line cards at node $i \in V$
$r_{i}$	number of activated line card shelves at node $i \in V$
$w_{i}$	number of activated fabric card shelves at node $i \in V$

$t_{wait} \to$	½ h		4 h		6 h		8 h
$k ↓$	MW h	%	MW h	%	MW h	%	MW h	%
1	23.4	0.0	23.4	0.0	23.4	0.0	23.4	0.0
2	19.8	15.3	19.8	15.3	19.8	15.3	20.3	13.3
3	19.2	17.9	19.2	17.9	19.2	17.9	20.2	13.6
4	18.7	20.2	19.1	18.5	19.3	17.5
5	18.5	21.0	19.1	18.4
6	18.2	22.2	19.1	18.3
⋮
48	17.0	27.7

Comprehensive Topology and Traffic Model of a Nationwide Telecommunication Network

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Abstract

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Figures (14)

Tables (3)

Equations (13)

Journal of Optical Communications and Networking