Nowadays, mobile ad hoc networks (MANET), which consist of a set of mobile nodes communicate with each other wirelessly, are considerably attended. In the last decades, with regard to different considerations, data routing problem has been studied as a main issue, widely. In these networks, developing models which lead to a more economic and confident route has always been a desired target. Hence, in this paper, a bi-objective mathematical model for MANETs routing problem is proposed, which aims to minimize energy consumption of data transmission and maximize reliability of selected route, simultaneously. To define reliability of the network, failure rate of each link is considered. To solve the proposed bi-objective mathematical model, a Lp-metric method is used which transforms the model to a single one. Finally, a numerical example is used to evaluate the efficiency of proposed model. The results indicate adding reliability criterion as the second objective function leads to a more confident and efficient solution, which is based on both energy consumption and reliability criteria.
