An algorithm for the multiperiod market equilibrium model with geometric distributed lag demand

Operations Research

Volumn 44, Issue 6, 1996, Pages 1002-1012

  Wu, Y June ^a   Fuller, J David ^b  

^a RYERSON UNIVERSITY   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; INDUSTRIAL ECONOMICS; MATHEMATICAL MODELS; OPTIMIZATION;

DECOUPLING ALGORITHMS; GEOMETRIC DISTRIBUTED LAG (GDL);

OPERATIONS RESEARCH;

EID: 0030282971     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.44.6.1002     Document Type: Article

References (26)

1. AHN, B. H. 1979. Computation of Market Equilibrium for Policy Analysis: The Project Independence Evaluation System Approach. Ph.D. Dissertation, Department of Engineering Economic Systems, Stanford University, and Garland Publishing, New York.
2. AHN, B. H., AND W. W. HOGAN. 1982. On Convergence of the PIES Algorithm for Computing Equilibria. Opns. Res. 30, 2, 281-300.
3. BROADIE, M. N. 1984. An Introduction to the Octahedral Algorithm for the Computation of Economic Equilibria. In Economic Equilibrium: Model Formulation and Solution, A. S. Manne (ed.), North-Holland, Amsterdam, 121-143.
4. COHEN, B. N., J. A. HOLTE, AND P. J. WERBOS. 1985. Demand Analysis System Elasticities. Energy Information Administration, Report DOE/EIA-0475, Department of Energy, Washington, DC.
5. DAFERMOS, S. 1983. An Iterative Scheme For Variational Inequalities. Math Programming, 27, 40-47.
6. DANIEL, T. E., AND H. M. GOLDBERG. 1981. Dynamic Equilibrium Energy Modeling: The Canadian BALANCE Model. Opns. Res. 29, 5, 829-852.
7. DHRYMES, P. J. 1981. Distributed Lags; Problems of Estimation and Formulation, Columbia University, and North-Holland Publishing Company, Amsterdam.
8. EAVES, B. C. 1985. Finite Solution of Pure Trade Markets with Cobb-Douglas Utilities. In Economic Equilibrium: Model Formulation and Solution, A. S. Manne (ed.), North-Holland, Amsterdam, 226-239.
9. FULLER, J. D. 1987. WATEMS: A System for Construction and Maintenance of Energy Planning Models. In Strategic Planning in Energy and Natural Resources. B. Lev, J. A. Bloom, F. H. Murphy, A. S. Gleit and Shoemaker (eds.), North Holland, Amsterdam, 3-15.
10. FULLER, J. D., AND Y. WU. 1989. Effects of Supply Elasticity on Convergence of the PIES Algorithm. O.R. Lett. 8, 271-277.
11. FULLER, J. D. 1992. A Model for the Assessment of the Impacts of Energy Free Trade on Canada. INFOR, 30, 207-221.
12. MANNE, A. S. 1985. On the Formulation and Solution of Economic Equilibrium Models. In Economic Equilibrium: Model Formulation and Solution. A. S. Manne (ed.), North-Holland, Amsterdam, 1-22.
13. MARCUS, M., AND H. MING. 1964. A Survey of Matrix Theory and Matrix Inequalities. Allyn and Bacon, Inc., Boston.
14. MATHIESEN, L. 1985. Computational Experience in Solving Equilibria Model by a Sequence of Linear Complementarity Problems. Opns. Res. 33, 1225-1250.
15. MURTAGH, B. A., AND M. A. SAUNDERS. 1983. MINOS 5.0 User's Guide. Technical Report SOL 83-20, Systems Optimization Laboratory, Department of Operations Research, Stanford University.
16. NAGURNEY, A. 1987. Computational Comparison of Spatial Price Equilibrium Methods. J. Regional Sci. 27, 1, 55-76.
17. PRECKEL, P. V. 1985. Alternative Algorithms for Computing Economic Equilibria. In Economic Equilibrium: Model Formulation and Solution. A. S. Manne (ed.), North-Holland, Amsterdam, 167-172.
18. ROBINSON, S. M. 1979. Generalized Equations and Their Solutions. Part I: Basic Theory. Math Programming Study. 10, 128-141.
19. ROWSE, J. 1986. Allocation of Canadian Natural Gas to Domestic and Export Market. Canadian J. Economics, 19, 417-442.
20. RUTHERFORD, T. 1986. Applied General Equilibrium Modelling. Ph.D. Dissertation, Department of Operations Research, Stanford University.
21. SAHI, R. K., AND R. W. ERDMANN. 1980. A Policy Model of Canadian Interfuel Substitution Demands. In Energy Policy Modelling: United States and Canadian Experiences. W. T. Ziemba, S. L. Schwartz, and E. Koenigsberg (eds.), Martinus Nijhoff Publishing, Hingham, MA, 34-48.
22. SCARF, H. E., IN COLLABORATION WITH T. HANSEN. 1973. Computation of Economic Equilibria. Yale University Press, New Haven, CT.
23. STONE, J. C. 1985. Sequential Optimization and Complementarity Techniques for Computing Economic Equilibria. In Economic Equilibrium: Model Formulation and Solution. A. S. Manne (ed.) North-Holland, Amsterdam, 173-191.
24. WU, Y., AND J. D. FULLER. 1990. Convergence of the PIES Algorithm for Multi-period Equilibrium Models with Distributed Lag Demand. Working Paper 193, Department of Management Sciences, University of Waterloo.
25. WU, Y., AND J. D. FULLER. 1991. Convergence of Multi-period Equilibrium Calculation, with Geometric Distributed Lag Demand. O.R. Lett. 10, 197-302.
26. WU, Y. 1992. A Multi-period Equilibrium Model with Geometric Lag Demand and an Algorithm for its Solution. Ph.D. Dissertation, Department of Management Sciences, Faculty of Engineering, University of Waterloo.