Hedging uncertainty in energy efficiency strategies: a minimax regret analysis

A global consensus is growing around the fact that energy efficiency is an effective way to meet the new climate goals. Energy efficiency, forming a hidden giant solution, has been proven more impactful than any other greenhouse gas emissions plan. However, all the energy related processes and the associated factors are fraught with multiple forms of uncertainties and complexities. Hedging against uncertainty, in the present paper we use minimax regret analysis to identify robust strategies towards energy efficiency. Expressing uncertainty through discrete scenarios, we apply robust optimization to meet the optimal mix of energy efficiency measures, performing well, independently of any scenario’s realization, taking into account the employment factor. In particular, we apply the maximin, as well as the minimax regret criterion, to solve the linear stochastic mathematical program. Moreover, a numerical computation on the improvement of the energy efficiency in different sectors is presented.

[1]  Nicholas Rivers,et al.  Renewable energy and unemployment: A general equilibrium analysis , 2013 .

[2]  Fu Xiao,et al.  Robust optimal design of building cooling systems concerning uncertainties using mini-max regret theory , 2015 .

[3]  Ronald R. Yager,et al.  Decision making using minimization of regret , 2004, Int. J. Approx. Reason..

[4]  S. Evans,et al.  Employment impacts of renewable energy policies in China: A decomposition analysis based on a CGE modeling framework , 2018 .

[5]  Yongpei Guan,et al.  Two-Stage Minimax Regret Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.

[6]  Daniel Vanderpooten,et al.  Energy crop supply in France: a min-max regret approach , 2007, J. Oper. Res. Soc..

[7]  Ryohei Yokoyama,et al.  Robust Optimal Design of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands and Costs , 2015 .

[8]  María del Carmen Sánchez-Carreira,et al.  Socioeconomic impact of wind energy on peripheral regions , 2015 .

[9]  Masahiro Inuiguchi,et al.  Minimax regret solution to linear programming problems with an interval objective function , 1995 .

[10]  Daniel Vanderpooten,et al.  Min-max and min-max regret versions of combinatorial optimization problems: A survey , 2009, Eur. J. Oper. Res..

[11]  T. Muneer,et al.  Energy supply, its demand and security issues for developed and emerging economies , 2007 .

[12]  J. Nitsch,et al.  Renewable energy and employment in Germany , 2008 .

[13]  Ryohei Yokoyama,et al.  A revised method for robust optimal design of energy supply systems based on minimax regret criterion , 2014 .

[14]  Amro M. Farid,et al.  Job creation potentials and skill requirements in, PV, CSP, wind, water-to-energy and energy efficiency value chains , 2015 .

[15]  Guohe Huang,et al.  An interval-valued minimax-regret analysis approach for the identification of optimal greenhouse-gas abatement strategies under uncertainty , 2011 .

[16]  Constantin Zopounidis,et al.  Robust multiobjective portfolio optimization: A minimax regret approach , 2017, Eur. J. Oper. Res..

[17]  Guo H Huang,et al.  Minimax Regret Analysis for Municipal Solid Waste Management: An Interval-Stochastic Programming Approach , 2006, Journal of the Air & Waste Management Association.

[18]  A Gerodimos,et al.  Robust Discrete Optimization and its Applications , 1996, J. Oper. Res. Soc..

[19]  Guohe Huang,et al.  An interval-parameter minimax regret programming approach for power management systems planning under uncertainty , 2011 .

[20]  Ryohei Yokoyama,et al.  Multiobjective Robust Optimal Design of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands , 2001 .

[21]  Melvyn Sim,et al.  Robust discrete optimization and network flows , 2003, Math. Program..

[22]  E. Aiyoshi,et al.  Necessary conditions for min-max problems and algorithms by a relaxation procedure , 1980 .

[23]  Ni-Bin Chang,et al.  Minimax regret optimization analysis for a regional solid waste management system. , 2007, Waste management.

[24]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[25]  T. Aven,et al.  On risk defined as an event where the outcome is uncertain , 2009 .

[26]  Bernhard Hillebrand,et al.  The expansion of renewable energies and employment effects in Germany , 2006 .

[27]  Daniel M. Kammen,et al.  Putting renewables and energy efficiency to work: How many jobs can the clean energy industry generate in the US? , 2010 .

[28]  Silke Gabbert,et al.  A Minimax Regret Analysis of Flood Risk Management Strategies Under Climate Change Uncertainty and Emerging Information , 2017 .

[29]  Amit Kanudia,et al.  Minimax regret strategies for greenhouse gas abatement: methodology and application , 1997, Oper. Res. Lett..

[30]  H. Yaman,et al.  Restricted Robust Optimization for Maximization over Uniform Matroid with Interval Data Uncertainty , 2005 .

[31]  George Mavrotas,et al.  A mathematical programming framework for energy planning in services' sector buildings under uncertainty in load demand: The case of a hospital in Athens , 2008 .

[32]  David W. Coit,et al.  Stochastic optimization for electric power generation expansion planning with discrete climate change scenarios , 2016 .

[33]  Igor Averbakh Minmax regret solutions for minimax optimization problems with uncertainty , 2000, Oper. Res. Lett..

[34]  Mark S. Daskin,et al.  α-reliable p-minimax regret: a new model for strategic facility location modeling , 1997 .

[35]  Manuel Laguna,et al.  Minimising the maximum relative regret for linear programmes with interval objective function coefficients , 1999, J. Oper. Res. Soc..

[36]  Ryohei Yokoyama,et al.  Multiobjective Optimal Design of Energy Supply Systems Based on Relative Robustness Criterion , 2002 .

[37]  Leonard J. Savage,et al.  The Theory of Statistical Decision , 1951 .