Dynamic multi-objective heating optimization

Abstract We develop a multicriteria approach to the problem of space heating under a time varying price of electricity. In our dynamic goal programming model the goals are ideal temperature intervals and the other criteria are the costs and energy consumption. We discuss the modelling requirements in multicriteria problems with a dynamic structure and present a new relaxation method combining the traditional ϵ -constraint and goal programming (GP) methods. The multi-objective heating optimization (MOHO) application in a spreadsheet environment with numerical examples is described.

[1]  M. Inuiguchi,et al.  Goal programming problems with interval coefficients and target intervals , 1991 .

[2]  R. Tiwari,et al.  Dynamic programming approach to multiple objective control problem having deterministic or fuzzy goals , 1993 .

[3]  Mehrdad Tamiz,et al.  Algorithmic Improvements to the Method of Martel and Aouni , 1995 .

[4]  Mark Gershon,et al.  Application of multiobjective dynamic programming to regional natural resource management , 1987 .

[5]  Mehrdad Tamiz,et al.  Expanding the flexibility of goal programming via preference modelling techniques , 1995 .

[6]  R. Tiwari,et al.  Solution of optimal control problems with lumped parameters having single or multiple goal objectives in fuzzy environment , 1992 .

[7]  L. Lasdon,et al.  On a bicriterion formation of the problems of integrated system identification and system optimization , 1971 .

[8]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.

[9]  William W. Cooper,et al.  A goal interval programming model for resource allocation in a marine environmental protection program , 1976 .

[10]  Robert R. Inman,et al.  Multiobjective dynamic programing with application to a reservoir , 1979 .

[11]  Mehrdad Tamiz.  Multi-objective programming and goal programming : theories and applications , 1996 .

[12]  Raimo P. Hämäläinen,et al.  Preference Assessment by Imprecise Ratio Statements , 1992, Oper. Res..

[13]  Raimo P. Hämäläinen,et al.  Customer level analysis of dynamic pricing experiments using consumption-pattern models , 1995 .

[14]  J. S. H. Kornbluth.  Dynamic multi‐criteria decision making , 1992 .

[15]  H. P. Benson,et al.  Existence of efficient solutions for vector maximization problems , 1978 .

[16]  Rafael Caballero,et al.  Goal programming with dynamic goals , 1998 .

[17]  Chian-Son Yu,et al.  Solving multiple objective quasi-convex goal programming problems by linear programming , 2000 .

[18]  Pradeep Kumar,et al.  A nonlinear goal programming model for multistage, multiobjective decision problems with application to grouping and loading problem in a flexible manufacturing system , 1991 .

[19]  R. Hämäläinen,et al.  Preference programming through approximate ratio comparisons , 1995 .

[20]  Reuven R. Levary,et al.  Dynamic programming models with goal objectives , 1984 .

[21]  Alexander Schrijver,et al.  Theory of linear and integer programming , 1986, Wiley-Interscience series in discrete mathematics and optimization.

[22]  A. Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[23]  Jean-Marc Martel,et al.  Diverse Imprecise Goal Programming Model Formulations , 1998, J. Glob. Optim..

[24]  Shinji Suzuki,et al.  Multiobjective trajectory optimization by goal programming with fuzzy decisions , 1994 .

[25]  Simon French,et al.  Valuing the Future: a MADA example involving nuclear waste storage , 1998 .

[26]  Carlos Romero,et al.  Extended interval goal programming , 1999, J. Oper. Res. Soc..

[27]  Pierre-Olivier Pineau,et al.  A perspective on the restructuring of the Finnish electricity market , 2000 .

[28]  Tapio Westerlund,et al.  Constrained linear quadratic gaussian control with process applications , 1984, Autom..

[29]  Abraham Charnes,et al.  Optimal Estimation of Executive Compensation by Linear Programming , 1955 .

[30]  A. Charnes,et al.  Goal programming and multiple objective optimizations: Part 1 , 1977 .

[31]  Pierre-Olivier Pineau,et al.  Cooperative consumers in a deregulated electricity market - Dynamic consumption strategies and price coordination , 2000 .

[32]  Abraham Charnes,et al.  Optimal economic stabilization policy: Linear goal-interval programming models , 1972 .

[33]  Marek Makowski,et al.  Multiple criteria analysis for water quality management in the Nitra Basin , 1996 .

[34]  R. Hämäläinen,et al.  Optimal tariff design under consumer self-selection , 1997 .

[35]  S. Clearwater.  Market-based control: a paradigm for distributed resource allocation , 1996 .

[36]  Tadeusz Trzaskalik.  Hierarchical Approach To Multi-Criteria Dynamic Programming , 1992 .

[37]  Thomas L. Morin,et al.  Multiobjective Energy Generation Planning Under Uncertainty , 1982 .

[38]  Raimo P. Hämäläinen,et al.  Prototyping customized DSS with a spreadsheet programme , 1997 .

[39]  Rb Flavell,et al.  A new goal programming formulation , 1976 .

[40]  R.P. Hamalainen,et al.  Identification of consumers' price responses in the dynamic pricing of electricity , 1995, 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century.

[41]  Roger M. Y. Ho,et al.  Goal programming and extensions , 1976 .

[42]  Mark H. Houck,et al.  Real‐Time Reservoir Operations by Goal Programming , 1984 .

[43]  N. Dopuch,et al.  Management Goals and Accounting for Control. , 1967 .

[44]  H. Pastijn.  Handbook of critical issues in goal programming: Carlos Romero Pergamon Press, Oxford, 1990, xi + 124 pages, £25.00, ISBN 008 0406610 , 1992 .

[45]  Raimo P. Hämäläinen,et al.  Preference ratios in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[46]  Scott H. Clearwater,et al.  Saving energy using market-based control , 1996 .

[47]  Raimo P. Hämäläinen,et al.  Load Analysis by Agent-Based Simulation of the Electricity Distribution System , 1995 .

[48]  Optimal control problems with goal objective functions , 1986 .

[49]  Alan H. Kvanli,et al.  Financial planning using goal programming , 1980 .

[50]  Yacov Y. Haimes,et al.  Hierarchical Multiobjective Analysis of Large-Scale Systems , 1990 .

[51]  Jean-Marc Martel,et al.  Incorporating the Decision-maker's Preferences in the Goal-programming Model , 1990 .