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The transmission expansion planning problem in modern power systems is a large-scale, mixed-integer, nonlinear and non-convex problem. this paper presents a new mathematical model and a constructive heuristic algorithm (CHA) for solving transmission expansion planning problem under new environment of electricity restructuring. CHA finds an acceptable solution in an iterative process, where in each step a circuit is chosen using a sensitivity index and added to the system. The proposed model consider multiple generation scenarios therefore the methodology finds high quality solution in which it allows the power system operate adequacy in an environment with multiple generators scenarios. Case studies and simulation results using test systems show possibility of using Constructive heuristic algorithm in an open access system.

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In this paper a supply chain network is designed considering multiple objectives. The first objective contains total establishment and transportation costs as well as previous works while facilities depreciation costs are considered in the network.In the second objective customer satisfaction is considered which include the fill rate and the delivered products quality. Then an epsilon-constraint approach is applied to find Pareto optimal solutions comparing to the obtained non-dominated solutions by weighted sum method. Finally some sensitivity analysis is performed to check the model validity. It confirms the validity of the proposed model.

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