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Probabilistic demand forecasting Prepared & presented by Daniel SALLIER Traffic Data & Forecasting Director Aéroports de Paris [email_address] 01 70 03 45 68
Content ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Content (continued) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Foreground
The "classical" forecasting approach ,[object Object],[object Object],[object Object],[object Object],[object Object],1950 1960 1970 1980 1990 2000 2010 2020 Year Passengers (M) Base case High case Low case Historical traffic
Drawbacks of the "classical" forecasting approach ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2 generic sources of uncertainty in any forecast ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],The techniques developed by ADP's R&D team address mostly the 1st type of generic uncertainty: The intrinsic technical uncertainty
How to cope with the intrinsic technical uncertainty
What is the output we are looking for … ,[object Object],…  how to proceed? Dummy data
Let's go back to the very basics ,[object Object],Actual data
Step #1: model determination ,[object Object],Unless one has precise reason to select a specific model, there is no reasons to keep just one of them and to discard all the others. Each model is given an equal chance. R&D works under process to address this issue: the ADN engine for Alexander’s Drift Net. Actual data Actual data 1 st  model Actual data 1 st  model 2 nd  model Actual data 1 st  model 2 nd  model 3 rd  model
Step #2: determination of the law of probability of the models parameters ,[object Object],[object Object],[object Object],[object Object],0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 17.5 18.0 18.5 19.0 19.5 20.0 20.5  Probability 0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 0.08 0.09 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18  Probability Example of drawings of random samples of the model parameters
Step #3: determination of the law of probability of the models output:  Y ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],X Axis Y axis 98% probability for Y to be within the band Actual data 50% probability for Y to be greater or equal Forecasting model #2
Step #4: determination of the law of probability of the future values ,[object Object],[object Object],[object Object],X axis Y axis 98% probability for Y to be within the band Actual data 50% probability for Y to be greater or equal
The data aggregation / break-up issue
The data aggregation issue ,[object Object],[object Object],[object Object]
The data agregation issue (continued) ,[object Object],[object Object]
The data break-up issue (continued) ,[object Object],[object Object],[object Object],Cumulated distribution of probabilities Overall demand 100% 80% 0% Set of samples to be discarded Demand of the traffic flow # i 100% 74% 0% Set of samples to be elected Cumulated distribution of probabilities Frequency law of the elected samples
Part of the prospective uncertainty: the residual issue
Taking into account part of the prospective risk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Taking into account part of the prospective risk  (continued) There is ground here for the development of specific financial / management / industrial tools and policies to cover part of this latent risk 0% 5% 10% 15% 20% 25% -25% -20% -15% -10% -5% 0% 5% 10% 15% Residuals (% of total pax) Probability Probability distribution of the residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included
Further developments and applications
Vertical cuts for most of the short term utilisation Turnover (million €) Probability for the turnover to be greater or equal Capacity threshold Operational Profit (million €) Probability for the operating profit to be greater or equal Capacity threshold € O million etc. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand Actual capacity Demand/traffic (million pax) Probability for the demand to be greater or equal Capacity threshold
Horizontal cuts for most of the mid & long term utilisation 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand Actual capacity etc. To be mostly used for optimal dimensioning and planning of mid and long term capacity growth: heavy investments Planned capacity Annual 50% probability - actual capacity 50% probability - planned capacity 98% centred probability - actual capacity 98% centred probability - planned capacity Year 0 Operating profit
Conclusions
So many advantages, so few drawbacks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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2011 02-04 - d sallier - prévision probabiliste

  • 1. Probabilistic demand forecasting Prepared & presented by Daniel SALLIER Traffic Data & Forecasting Director Aéroports de Paris [email_address] 01 70 03 45 68
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  • 8. How to cope with the intrinsic technical uncertainty
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  • 15. The data aggregation / break-up issue
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  • 19. Part of the prospective uncertainty: the residual issue
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  • 21. Taking into account part of the prospective risk (continued) There is ground here for the development of specific financial / management / industrial tools and policies to cover part of this latent risk 0% 5% 10% 15% 20% 25% -25% -20% -15% -10% -5% 0% 5% 10% 15% Residuals (% of total pax) Probability Probability distribution of the residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included 0 2 4 6 8 10 12 14 16 18 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand (M pax) Actual traffic data 50% probability for the demand to be greater or equal No residuals 98% probability range No residuals 50% probability for the demand to be greater or equal Residuals included 98% probability range Residuals included
  • 22. Further developments and applications
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  • 24. Horizontal cuts for most of the mid & long term utilisation 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 2022 2024 Traffic/demand Actual capacity etc. To be mostly used for optimal dimensioning and planning of mid and long term capacity growth: heavy investments Planned capacity Annual 50% probability - actual capacity 50% probability - planned capacity 98% centred probability - actual capacity 98% centred probability - planned capacity Year 0 Operating profit
  • 26.