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In wireless sensor network most of the devices operate on batteries. These devices or nodes have limited amount of initial energy that are consumed at different rates, depending on the power level and intended receiver. In this paper different type of energy efficient routing algorithms are discussed and approach of these algorithms provide the maximum system lifetime. Most of the algorithms formulate the routing problem as a linear programming problem, which uses the optimal flow path for data transmission and gives the optimum results. These algorithms help to minimize the consumption of large battery power as well as increase the overall lifetime of the network. Advantages, limitations as well as comparative study of these algorithms are also discussed in this paper.