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140   Cha p te r  S i x


                     first level of regional resources management consists of forming
                     clusters of zones for biomass management. The second level involves
                     building the regional energy transfer cascade (RETC) and the
                     Regional Resources Management Composite Curve (RRMCC).
                        The clusters of zones formed in the first level of the methodology
                     are designed to minimize the environmental impact of biomass
                     energy exchanges among the zones within the overall supply chain
                     network (Lam et al., 2009). The carbon footprint (CFP) is used as a
                     criterion for comparing various magnitudes of this impact; cost is
                     another obvious criterion. The main goal of clustering is to partition
                     the area of the considered region into smaller subareas (the clusters)
                     in order to form more coherent entities. Within each cluster, stronger
                     and more efficient interactions and biofuel exchanges result in
                     minimizing the environmental impact of the whole region. Figure 6.15
                     presents an REC algorithm, whose steps are discussed next:

                        Step 1. Specify energy sources and demands based on available
                        system data.
                        Step 2. Optimize biomass exchange flows between the zones. In this

                        step, linear programming is used to formulate an objective
                        function that minimizes total CFP within the overall region.


                     FIGURE 6.15                        Begin
                     Flowchart of
                     algorithm for
                     Regional Energy
                     Clustering.            Step 1. Specification of energy sources
                                                     and demands



                                                 Step 2. Optimize biomass
                                               exchange flows between zones


                                                 Step 3. Display the optimal
                                                 biomass exchange flows



                                                 Step 4. Cluster formation



                                                   Output: Clusters and
                                                     their properties


                                                         End
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