Computational Management Science

, Volume 5, Issue 1–2, pp 41–66 | Cite as

ETSAP-TIAM: the TIMES integrated assessment model. part II: mathematical formulation

  • Richard Loulou
Original Paper


This article is a companion to “ETSAP-TIAM: the TIMES integrated assessment model. part I: model structure”. It contains three sections, presenting respectively: the simplified formulation of the TIMES Linear Program (Sect. 1), the details of the computation of the supply demand equilibrium (Sect. 2), and the Endogenous Technology Learning Formulation (Sect. 3). The full details of these three formulations are available in the complete TIMES documentation at www.etsap/org/documentation.


Energy Service Balance Constraint Shadow Prex Availability Factor Single Commodity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Altdorfer F (1981) Introduction of price elasticities on energy demand in MARKAL. Memorandum No 345, KFA, JulichGoogle Scholar
  2. Barreto L (2001) Technological learning in energy optimisation models and the deployment of emerging technologies. PhD Thesis no 14151, Swiss Federal Institute of Technology Zurich (ETHZ). Zurich, SwitzerlandGoogle Scholar
  3. Hogan WW (1975) Energy policy models for project independence. Comput Oper Res 2:251–271CrossRefGoogle Scholar
  4. Loulou R, Lavigne D (1996) MARKAL model with elastic demands: application to GHG emission control. In: Carraro C, Haurie A (eds) Operations research and environmental engineering. Kluwer, Dordrecht, pp 201–220Google Scholar
  5. Loulou R, Kanudia A (2000) Using advanced technology-rich models for regional and global economic analysis of GHG mitigation. In: Zaccour G (ed) Decision and control: essays in honor of Alain Haurie. Kluwer, Norwell, pp 153–175Google Scholar
  6. Samuelson PA (1952) Spatial price equilibrium and linear programming. Am Econ Rev 42:283–303Google Scholar
  7. Takayama T, Judge GG (1971) Spatial and temporal price and allocation models. North Holland, AmsterdamGoogle Scholar
  8. Tosato GC (1980) Extreme Scenarios in MARKAL LP Model: use of Demand Elasticity. In: Presented at the 5th Italian–Polish symposium on applications of systems theory to economics and technology, Torun, 11–16 June 1980Google Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.McGill UniversityMontrealCanada
  2. 2.KANLO ConsultantsLyonFrance

Personalised recommendations