Multicriteria Air Traffic Flow Management

Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

Multicriteria Air Traffic Flow Management Kenneth Kuhn University of Canterbury (Christchurch, New Zealand)

INFORMS TSL Workshop 2011

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Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

Outline

1

Air Traffic Flow Management (ATFM)

2

Multicriteria Optimization

3

Multicriteria ATFM Formulations / Conclusions

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Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

Airport arrival rate

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Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

Airspace capacity

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Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

ATFM formulation

xf ,k,t =

  1              0

if flight f has departed from / flown through / arrived at airport / airspace sector k before time t otherwise

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Air Traffic Flow Management (ATFM) Multicriteria Optimization Multicriteria ATFM Formulations / Conclusions

ATFM formulation

min

P h (−cfa )

f ∈F

P

g

P t∈Tf ,P(f ,N ) f

xf ,P(f ,N ),t + (cfa − cf ) f

(xf ,k,t − xf ,k,t−1 ) ≤ Dk,t

P t∈Tf ,P(f ,1)

xf ,P(f ,1),t

i

∀k ∈ A, t ∈ T

f :P(f ,1)=k

P

(xf ,k,t − xf ,k,t−1 ) ≤ Ak,t

∀k ∈ A, t ∈ T

f :P(f ,Nf )=k

P

(xf ,k,t − xf ,P(f ,i+1),t ) ≤ Sk,t

∀k ∈ S, t ∈ T

f :P(f ,i)=k,i