Decomposing multi-regional dynamic energy process models

The energy process model with geometric distributed lag (GDL) demand, called the energy GDL process model, often distinguishes several regions. This paper presents a new decomposition approach, based on the Dantzig-Wolfe principle, to decompose such a model by region in order to provide a more manageable tool for long-run energy planning and energy-related environmental protection decision making. The new decomposition approach is required because most energy GDL process models cannot be converted into optimization problems, so that the existing linear or nonlinear decomposition principles cannot be applied to such models directly. A two-region energy GDL process model of supplies and demands of oil, gas, electricity, and coal in Canada is presented and solved with the new decomposition approach, to aid in understanding the performance of the new decomposition procedure.

[1]  Michael A. Saunders,et al.  MINOS 5. 0 user's guide , 1983 .

[2]  J. David Fuller,et al.  Introduction of geometric, distributed lag demand into energy-process models , 1995 .

[3]  Henry M. Goldberg,et al.  Dynamic Equilibrium Energy Modeling: The Canadian BALANCE Model , 1981, Oper. Res..

[4]  J. David Fuller,et al.  An Algorithm for the Multiperiod Market Equilibrium Model with Geometric Distributed Lag Demand , 1996, Oper. Res..

[5]  A. Manne,et al.  Buying greenhouse insurance: The economics costs of carbon dioxide emission limits , 1992 .

[6]  W. Nordhaus To Slow or Not to Slow: The Economics of the Greenhouse Effect , 1991 .

[7]  Phoebus J. Dhrymes,et al.  Distributed Lags: Problems of Estimation and Formulation , 1972 .

[8]  William W. Hogan,et al.  On Convergence of the PIES Algorithm for Computing Equilibria , 1982, Oper. Res..

[9]  William Chung,et al.  Dynamic energy and environment equilibrium model for the assessment of CO2 emission control in Canada and the USA , 1997 .

[10]  J. Fuller A Model For The Assessment Of The Impacts Of Energy Free Trade On Canada , 1992 .

[11]  G. Dantzig,et al.  THE DECOMPOSITION ALGORITHM FOR LINEAR PROGRAMS , 1961 .

[12]  David Kendrick,et al.  GAMS, a user's guide , 1988, SGNM.

[13]  Benno Büeler,et al.  Solving an equilibrium model for trade of CO2 emission permits , 1997 .

[14]  J. David Fuller,et al.  Convergence of multiperiod equilibrium calculations, with geometric distributed lag demand , 1991, Oper. Res. Lett..

[15]  Amit Kanudia,et al.  The Kyoto Protocol, Inter-Provincial Cooperation, and Energy Trading: A Systems Analysis with integrated MARKAL Models , 1998 .

[16]  William Chung,et al.  Assessing the control of energy-related CO2 emissions with a dynamic energy process model , 1997 .

[17]  Takamitsu Sawa,et al.  An Analysis of the Macro-Economic Costs of Various CO2 Emission Control Policies in Japan , 1993 .