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A Novel Multiobjective Framework for Cell Switch-Off in Dense Cellular Networks alez G 1 , Halim Yanikomeroglu 2 , David Gonz a-Lozano 1 , Silvia Ruiz Boqu e 1 Mario Garc 1 Departament of Signal Theory and Communications Universitat


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A Novel Multiobjective Framework for Cell Switch-Off in Dense Cellular Networks

David Gonz´ alez G1, Halim Yanikomeroglu2, Mario Garc´ ıa-Lozano1, Silvia Ruiz Boqu´ e1

1 Departament of Signal Theory and Communications

Universitat Polit` ecnica de Catalunya, Spain

2 Departament of System and Computer Enginnering

Carleton University, Canada

IEEE International Conference on Communications (ICC) 2014 Mobile and Wireless Networking Symposium Sydney, Australia: 10-14 June 2014

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Outline

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Introduction Framework Description Closing Remarks

Motivation

1 Energy Efficiency (EE) in cellular networks.

Cellular industry is growing exponentially. Hyper dense small cells deployment → boost energy consumption!

  • H. Yanikomeroglu @ IEEE ICC ’14

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Introduction Framework Description Closing Remarks

Motivation

1 Energy Efficiency (EE) in cellular networks.

Cellular industry is growing exponentially. Hyper dense small cells deployment → boost energy consumption!

2 Why switch-off base stations?

Energy consumption models Solution approach → Multiobjective Optimization

(aggregate capacity ↔ active cells).

  • H. Yanikomeroglu @ IEEE ICC ’14

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Introduction Framework Description Closing Remarks

CSO: Problem statement & practical insights

Main intuition

Switch off lightly loaded base stations to save energy.

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Introduction Framework Description Closing Remarks

CSO: Problem statement & practical insights

Main intuition

Switch off lightly loaded base stations to save energy.

The challenge

The CSO problem consists in determining the largest set of cells that can be switched off without compromising the QoS.

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Introduction Framework Description Closing Remarks

CSO: Problem statement & practical insights

Main intuition

Switch off lightly loaded base stations to save energy.

The challenge

The CSO problem consists in determining the largest set of cells that can be switched off without compromising the QoS. Theoretical aspects: Deployments density. Traffic behavior. Network capacity. ICIC.

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Introduction Framework Description Closing Remarks

CSO: Problem statement & practical insights

Main intuition

Switch off lightly loaded base stations to save energy.

The challenge

The CSO problem consists in determining the largest set of cells that can be switched off without compromising the QoS. Theoretical aspects: Deployments density. Traffic behavior. Network capacity. ICIC. Practical aspects: Coverage. Switch on/off transitions. Architecture. Others.

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Introduction Framework Description Closing Remarks

CSO: Related work

Ref. Context C1 C2 C3 C4 C5 C6 [283] CSO Heuristic CE × × P Full buffer [284] CSO Analytical CE P × × Full buffer [285] Planning: how to deploy cell for minimizing energy consumption Analytical NA P × NA NA [286] CSO Heuristic CE × × × Poisson [287] Cell size adaptation Heuristic CE × × × Full buffer [288] An interesting RRM strategy for energy savings Heuristic CE × × × Poisson [289] CSO Heuristic Both × ×

  • Full buffer

[277] CSO Analytical CE × × × Poisson [290] CSO Analytical CE × P × Full buffer [291] CSO Heuristic CE × P P Full buffer [292] CSO Heuristic CE P P × Full buffer [293] CSO Heuristic CE ×

  • P

Realistic [294] CSO Heuristic SD × × P Realistic [295] Cell size adaptation Heuristic Both × × × Realistic [296] CSO Heuristic CE × × × Full buffer [297] CSO Heuristic CE × × × Full buffer [298] CSO Heuristic CE × × × Several models [299] Impact of power reduction on coverage and capacity Analytical NA

  • NA

Full buffer

P: Partially CE: Centralized SD: Semidistributed DI: Distributed

Heuristic is the preferred approach.

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Introduction Framework Description Closing Remarks

CSO: Related work

Ref. Context C1 C2 C3 C4 C5 C6 [283] CSO Heuristic CE × × P Full buffer [284] CSO Analytical CE P × × Full buffer [285] Planning: how to deploy cell for minimizing energy consumption Analytical NA P × NA NA [286] CSO Heuristic CE × × × Poisson [287] Cell size adaptation Heuristic CE × × × Full buffer [288] An interesting RRM strategy for energy savings Heuristic CE × × × Poisson [289] CSO Heuristic Both × ×

  • Full buffer

[277] CSO Analytical CE × × × Poisson [290] CSO Analytical CE × P × Full buffer [291] CSO Heuristic CE × P P Full buffer [292] CSO Heuristic CE P P × Full buffer [293] CSO Heuristic CE ×

  • P

Realistic [294] CSO Heuristic SD × × P Realistic [295] Cell size adaptation Heuristic Both × × × Realistic [296] CSO Heuristic CE × × × Full buffer [297] CSO Heuristic CE × × × Full buffer [298] CSO Heuristic CE × × × Several models [299] Impact of power reduction on coverage and capacity Analytical NA

  • NA

Full buffer

P: Partially CE: Centralized SD: Semidistributed DI: Distributed

Most of solutions require real-time centralized operation.

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Introduction Framework Description Closing Remarks

CSO: Related work

Ref. Context C1 C2 C3 C4 C5 C6 [283] CSO Heuristic CE × × P Full buffer [284] CSO Analytical CE P × × Full buffer [285] Planning: how to deploy cell for minimizing energy consumption Analytical NA P × NA NA [286] CSO Heuristic CE × × × Poisson [287] Cell size adaptation Heuristic CE × × × Full buffer [288] An interesting RRM strategy for energy savings Heuristic CE × × × Poisson [289] CSO Heuristic Both × ×

  • Full buffer

[277] CSO Analytical CE × × × Poisson [290] CSO Analytical CE × P × Full buffer [291] CSO Heuristic CE × P P Full buffer [292] CSO Heuristic CE P P × Full buffer [293] CSO Heuristic CE ×

  • P

Realistic [294] CSO Heuristic SD × × P Realistic [295] Cell size adaptation Heuristic Both × × × Realistic [296] CSO Heuristic CE × × × Full buffer [297] CSO Heuristic CE × × × Full buffer [298] CSO Heuristic CE × × × Several models [299] Impact of power reduction on coverage and capacity Analytical NA

  • NA

Full buffer

P: Partially CE: Centralized SD: Semidistributed DI: Distributed

Coverage analysis is oftem missed.

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Introduction Framework Description Closing Remarks

Multiobjective Optimization: Essentials

1 Target: problems with conflicting criteria.

F = { fi(x) : Rn → R, i = 1, 2, · · · , m }

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Introduction Framework Description Closing Remarks

Multiobjective Optimization: Essentials

1 Target: problems with conflicting criteria.

F = { fi(x) : Rn → R, i = 1, 2, · · · , m }

2 Structure:

Design variables: x = [ x1, x2, · · · , xn ], (x ∈ X). Feasible set: X = X1 × X2 × · · · × Xn, (domains). Objetive space: f : X → Rm, f(x) = [ f1(x), f2(x), · · · , fn(x) ]. Constraints.

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Introduction Framework Description Closing Remarks

Multiobjective Optimization: Essentials

1 Target: problems with conflicting criteria.

F = { fi(x) : Rn → R, i = 1, 2, · · · , m }

2 Structure:

Design variables: x = [ x1, x2, · · · , xn ], (x ∈ X). Feasible set: X = X1 × X2 × · · · × Xn, (domains). Objetive space: f : X → Rm, f(x) = [ f1(x), f2(x), · · · , fn(x) ]. Constraints.

3 Optimality: Pareto efficiency (x⋆ and the set X ⋆).

x1 ≻ x2, ⇐ ⇒ fi(x1) ≤ fi(x2) ∧ ∃ j | fj(x1) < fj(x2) x⋆ ∈ X ⋆ ⇐ ⇒ ∄ x ∈ X | x ≻ x⋆.

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Introduction Framework Description Closing Remarks

Multiobjective Optimization: Essentials

Figure: A representation of the Pareto Front.

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Introduction Framework Description Closing Remarks

Multiobjective Optimization: Essentials

(a) The hypervolume indicator (υ). (b) The nonuniformity index (̺). Figure: Quality measures in multiobjective optimization. υ(X ⋆, xref) = Λ

x∈X

ˆ x | x ≺ ˆ x ≺ xref

  • ̺ = df + dl + N−1

i=1 |di − ¯

d| df + dl + ¯ d (N − 1)

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Introduction Framework Description Closing Remarks

System Model

Downlink of an OFDMA cellular network → L cells. Target → Average ICI conditions (full reuse). Any topology: → Network geometry (G ∈ RA×L). Flexible analysis: → Operator-defined QoS policies.

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Introduction Framework Description Closing Remarks

System Model: Terminology

1 Network Operation Point (NOP)

x ∈ {0, 1}L (design variable). |X| = (2L − 1) (search space).

2 Network Energy Level (NEL)

Xj = {x ∈ X | x · 1 = j} (a set of NOPs).

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Introduction Framework Description Closing Remarks

System Model: Formulation

1 Cell selection

RRS = G · diag (pRS ⊙ x )

2 SINR figures ← actual ICI.

Ψ = [(S ⊙ G) · (pD ⊙ x )] ⊘

  • [(Sc ⊙ G) · (pD ⊙ x )] ⊕ σ2

3 Coverage aspects

Minimum received power: RRS (a, l⋆) ≥ PRx

min.

Minimum SINR: Ψ (a) ≥ ψmin. H (a) = u (Ψ (a) − ψmin) · u

  • RRS (a, l⋆) − PRx

min

  • · log2(1 + Ψ (a))
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Introduction Framework Description Closing Remarks

System Model: Objective functions

1 Number of active cells (f1)

f1 = x · 1

2 Weighted Network Capacity (f2)

f2 = (B · A) ·

  • (H ⊙ Γ )T · S
  • ⊙ n
  • · 1
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Introduction Framework Description Closing Remarks

System Model: Multiobjective problem

minimize [ f1 (x) , −f2 (x) ] subject to: . (vT · 1) A ≤ κCOV . x ∈ {0, 1}L, x = 0 Solution tool: Multiobjective Evolutionary Algorithms (MOEAs).

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Introduction Framework Description Closing Remarks

MOEAs: An approach to CSO

f1 = ⇒ discontinuities f2 = ⇒ non-convex, local optima

The Non-dominated Sorting Genetic Algorithm II (NSGA-II)

[Deb et al.] @ IEEE Trans. on Evolutionary Computation. A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II

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Introduction Framework Description Closing Remarks

CSO: Conceptual solution design

Figure: Conceptual design of the proposed framework.

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Introduction Framework Description Closing Remarks

CSO: Conceptual solution design

Figure: Conceptual design of the proposed framework.

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Introduction Framework Description Closing Remarks

Results: Test case and evaluation setting

Figure: Small dense deployment. Figure: Traffic distribution (Γ).

Minimum SINR (ψmin)

  • 7.0 dB

Minimum received power (PRx

min)

  • 123 dBm

Outage threshold (κCOV) 2.0 %

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Introduction Framework Description Closing Remarks

Results: Estimation of the Pareto Front

(a) Estimated Pareto Front. (b) Convergence pattern (NSGA-II). Figure: Estimation of nondominated solutions: the set X ⋆

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

System level simulations setting:

1 Scheduling → Best first (rT = 250 kbps). 2 QoS → Satisfaction ≥ 97.5%. 3 QoS checking interval → 1 s. 4 System bandwidth → 5.4 MHz. 5 Users distribution → ( Γ, λ )

Inter-arrival time (exponential, 1/λ = 0.075 s). Session time (exponential, 1/µ = 60 s).

6 Two methodologies:

NOP selection based on NEL sorting (binary search). Single NEL performance evaluation.

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

(a) NEL selection CDF. (b) Performance. Figure: NOP selection based on NEL sorting: solutions in X ⋆

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

(a) Users rate. (b) QoS. Figure: Single NEL performance evaluation: NEL=18.

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

Benchmarks:

1 Cell Zooming algorithm.

[Z. Niu et al.] @ IEEE Communications Magazine. Cell Zooming for Cost-Efficient Green Cellular Networks. 2010.

2 Improved Cell Zooming algorithm.

[F. Alaca et al.] @ IEEE Globecom 2012. A Genetic Algorithm based Cell Switch-Off Scheme for Energy Saving in Dense Cell Deployments.

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

(a) NEL sel. vs. system load (b) QoS vs. system load Figure: Performance comparison among several CSO schemes

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

Table: Performance indicators: feasibility

Scheme NEL QoS Handovers Transitions x18 ∈ X ⋆ 18.00 97.81 0.00 0.00 NOP sel. (NEL sorting) 18.47 98.74 7.14 0.31 Cell zooming 41.45 99.05 57.56 3.47 Improved cell zooming 25.36 99.87 80.14 7.47

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Introduction Framework Description Closing Remarks

Results: Evaluation of NOPs and QoS

(a) NEL vs. target rate (b) QoS vs. target rate (c) NEL vs. QoS Figure: Impact of operational parameters: tradeoffs

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Introduction Framework Description Closing Remarks

Conclusions

1

Novelty MO framework for CSO

Network/traffic-specific characterization → Pareto eff. NOPs.

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Introduction Framework Description Closing Remarks

Conclusions

1

Novelty MO framework for CSO

Network/traffic-specific characterization → Pareto eff. NOPs.

2 Feasibility

Low real-time complexity. Less transitions/handovers.

  • H. Yanikomeroglu @ IEEE ICC ’14

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Introduction Framework Description Closing Remarks

Conclusions

1

Novelty MO framework for CSO

Network/traffic-specific characterization → Pareto eff. NOPs.

2 Feasibility

Low real-time complexity. Less transitions/handovers.

3 Merit → excellent performance.

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Thanks !!

[ david.gonzalez.g@ieee.org ] [ Halim.Yanikomeroglu@sce.carleton.ca ]