Evaluation of Fuzzy Linear Programming Application in Energy Models

Evaluation of Fuzzy Linear Programming Application in Energy Models

Mehdi Sadeghi (Department of Economics, Imam Sadiq University, Tehran, Iran) and Hossein Mirshojaeian Hosseini (Department of Economics, Imam Sadiq University, Tehran, Iran)
Copyright: © 2013 |Pages: 10
DOI: 10.4018/ijeoe.2013010104
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Fuzzy Linear Programming (FLP) approach is an effective approach that has not been attended extensively by research and academic centers in energy planning field up to now. It seems that this inattention roots in some unknown and uninvestigated grounds about this approach that should be researched before any sectoral, regional, national or international applications. In this paper the authors tried to investigate different factors influence FLP modeling. Some factors challenge FLP application in energy modeling field. Other factors strengthen it as a serious competitor for other strategies under uncertainty like Stochastic Programming and Minimax Regret Strategy. Unfamiliarity of energy modelers and planners with this method, no favor of academic circles, confusion of modelers and planners stemmed from plurality of fuzzification and defuzzification methods and the lack of effective and comprehensive softwares for solving FLP problems are some of the obstacles against FLP application in energy planning field. In contrast, variant methods for different problems simplicity, flexibility, and possibility of FLP application in current supply energy models are strong points that propound FLP as an effective approach. Some remedies had been proposed to overcome these obstacles. Designing a software is a vital step. GAMS environment help us for this designation. Fuzzy GAMS is an idea to expand GAMS capabilities to fuzzy optimization models.
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2. Obstacles Confronting Flp Approach

2.1. Unfamiliarity

FLP is still an unknown method among planners and modelers. Looking a glance at common supply energy models can prove this fact. FLP has the place neither in old members of MARKAL family nor in new one i.e. TIMES model (National Center for Analysis of Energy Systems, 1979; Abilock, 1979; Tseng, 1999; Goldstein, 2001; Haurie, 2001). Also, no other energy models applied this method in their models.

Among famous energy models, PERSEUS (1990) is only model used fuzzy theory in energy planning. This model is a complementary for EFOM model that developed by IIP[Institute for Industrial Production ] in 1990 (Lehita & Pivila, 1990; Rostami, 2001). Fuzzy model used in PERSEUS has been developed to cover some of uncertain constraints and parameters in EFOM model such as pollution emission constraints or uncertain parameters of costs. In this model, fuzzy sets are used to describe uncertainties of future increase of exogenous technical and economic parameters (like energy demand) and satisfaction level of decision-makers.

Although IIP attempts to apply fuzzy sets in energy planning was so considerable, this attempt like other attempts was discontinuous. Maybe during these years, the unique hopeful event for FLP happened in the session of executive committee of ETSAP[Energy Technology Systems Analysis Program] in 2004 that approved budget for application of FLP in TIMES model. Now we should wait to see what the structure of fuzzy model of TIMES is and which features will be put in it.

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