Logical Optical Line Terminal Placement Optimization in the Elastic Lambda Aggregation Network With Optical Distribution Network Constraints

Takehiro Sato; Kunitaka Ashizawa; Hidetoshi Takeshita; Satoru Okamoto; Naoaki Yamanaka; Eiji Oki

doi:10.1364/JOCN.7.000928

Journal of Optical Communications and Networking
Vol. 7,
Issue 9,
pp. 928-941
(2015)
•https://doi.org/10.1364/JOCN.7.000928

Logical Optical Line Terminal Placement Optimization in the Elastic Lambda Aggregation Network With Optical Distribution Network Constraints

Takehiro Sato, Kunitaka Ashizawa, Hidetoshi Takeshita, Satoru Okamoto, Naoaki Yamanaka, and Eiji Oki

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Takehiro Sato, Kunitaka Ashizawa, Hidetoshi Takeshita, Satoru Okamoto, Naoaki Yamanaka, and Eiji Oki, "Logical Optical Line Terminal Placement Optimization in the Elastic Lambda Aggregation Network With Optical Distribution Network Constraints," J. Opt. Commun. Netw. 7, 928-941 (2015)

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Abstract

The elastic lambda aggregation network (EλAN) has been presented as an access/aggregation integrated network that can accommodate multiple network services. In the EλAN, optical line terminals (OLTs) become programmable and configure logical OLTs (L-OLTs) to support network services that have different protocols and quality of service requirements. To achieve the flexible utilization of network resources and improve energy efficiency, L-OLTs are migrated between programmable OLTs like virtual machines. In this paper, an integer linear programming (ILP) model of the L-OLT placement optimization problem with optical distribution network constraints is presented. Based on this ILP model, the communication suspension time that occurs with L-OLT migration is investigated. We discuss the modification of the L-OLT migration sequence to reduce the communication suspension time. The impact of the modification on the energy saving effect of L-OLT placement optimization is evaluated in this paper.

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Given Parameters
$n_{POLT}$	Number of P-OLTs
$n_{LOLT}$	Number of L-OLTs
$n_{PONU}$	Number of P-ONUs
$n_{WXC}$	Number of WXCs
$b$	Number of L-OLT configuration boards per P-OLT
$c$	Number of total frequency slots
$w_{i}$	Number of frequency slots that L-OLT $i$ requires
$T$	Maximum number of steps of L-OLT migration
$r$	Maximum rate of allocated frequency slots at each P-OLT ( $0 < r \leq 1$ )
$d$	Maximum distance (links) of access path
$G$	Number of guardband slots
$M$	A large positive constant
$x_{i j}^{LONU}$	1 if L-ONU that receives a network service from L-OLT $i$ is configured in P-ONU $j$ ; 0 otherwise
$e_{α β}$	1 if link that connects node $α$ to node $β$ exists; 0 otherwise
Decision Variables (Values at $t = 0$ are Given)
$x_{i j k}^{LOLT} (t)$	1 if configuration board $k$ of P-OLT $j$ is allocated to L-OLT $i$ after $t$ th step; 0 otherwise
$y_{j} (t)$	1 if P-OLT $j$ is running after the $t$ th step; 0 otherwise
$Z_{i j k}^{IN} (t)$	1 if L-OLT $i$ is migrated to configuration board $k$ of P-OLT $j$ at the $t$ th step; 0 otherwise
$Z_{i j k}^{OUT} (t)$	1 if L-OLT $i$ is migrated from configuration board $k$ of P-OLT $j$ at the $t$ th step; 0 otherwise
$p_{α β i h} (t)$	1 if link $(α, β)$ is selected as the $h$ th hop of access path that starts from L-OLT $i$ after the $t$ th step; 0 otherwise
$q_{α β i m} (t)$	1 if frequency slot $m$ is allocated to access path that starts from L-OLT $i$ on link $(α, β)$ after the $t$ th step; 0 otherwise

Number of P-OLTs	8
Number of P-ONUs	2048
Number of WXCs	4
Number of L-OLT configuration boards per P-OLT	4
Total number of wavelengths	$\geq 4$
Number of requested wavelengths from each L-OLT	1
Maximum number of steps of L-OLT migration	1
Maximum rate of allocated frequency slots at each P-OLT	1
Maximum distance (links) of access path	5
Number of guardband slots	0
Number of P-ONUs per ONU group	256
Number of L-ONUs per P-ONU	1
Number of L-ONUs accommodated by a single L-OLT	64 (at a maximum)

Given Parameters
$n_{POLT}$	Number of P-OLTs
$n_{LOLT}$	Number of L-OLTs
$n_{PONU}$	Number of P-ONUs
$n_{WXC}$	Number of WXCs
$b$	Number of L-OLT configuration boards per P-OLT
$c$	Number of total frequency slots
$w_{i}$	Number of frequency slots that L-OLT $i$ requires
$T$	Maximum number of steps of L-OLT migration
$r$	Maximum rate of allocated frequency slots at each P-OLT ( $0 < r \leq 1$ )
$d$	Maximum distance (links) of access path
$G$	Number of guardband slots
$M$	A large positive constant
$x_{i j}^{LONU}$	1 if L-ONU that receives a network service from L-OLT $i$ is configured in P-ONU $j$ ; 0 otherwise
$e_{α β}$	1 if link that connects node $α$ to node $β$ exists; 0 otherwise
Decision Variables (Values at $t = 0$ are Given)
$x_{i j k}^{LOLT} (t)$	1 if configuration board $k$ of P-OLT $j$ is allocated to L-OLT $i$ after $t$ th step; 0 otherwise
$y_{j} (t)$	1 if P-OLT $j$ is running after the $t$ th step; 0 otherwise
$Z_{i j k}^{IN} (t)$	1 if L-OLT $i$ is migrated to configuration board $k$ of P-OLT $j$ at the $t$ th step; 0 otherwise
$Z_{i j k}^{OUT} (t)$	1 if L-OLT $i$ is migrated from configuration board $k$ of P-OLT $j$ at the $t$ th step; 0 otherwise
$p_{α β i h} (t)$	1 if link $(α, β)$ is selected as the $h$ th hop of access path that starts from L-OLT $i$ after the $t$ th step; 0 otherwise
$q_{α β i m} (t)$	1 if frequency slot $m$ is allocated to access path that starts from L-OLT $i$ on link $(α, β)$ after the $t$ th step; 0 otherwise

Number of P-OLTs	8
Number of P-ONUs	2048
Number of WXCs	4
Number of L-OLT configuration boards per P-OLT	4
Total number of wavelengths	$\geq 4$
Number of requested wavelengths from each L-OLT	1
Maximum number of steps of L-OLT migration	1
Maximum rate of allocated frequency slots at each P-OLT	1
Maximum distance (links) of access path	5
Number of guardband slots	0
Number of P-ONUs per ONU group	256
Number of L-ONUs per P-ONU	1
Number of L-ONUs accommodated by a single L-OLT	64 (at a maximum)

Abstract

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Equations (42)

Journal of Optical Communications and Networking