No abstract

<span>In this paper, we present an Android application, namely BoatSafe, which offers easy and effective navigation of waterways. The data were collected directly from both GPS and the accelerometer sensor, and then these data were processed to determine the user's "Sailing on Water" status through the motions and the position. The software offers some essential features such as: provide the positions, velocities, and heading angle of vehicles at present; save the route for a specific period time; identify the outage of GPS signal; collision warning feature, identify a collision, and call a pre-selected phone number in the event of a collision.</span>

In this paper, we first propose a new smoothing approach to the nonsmooth penalty function for constrained optimization problems, and then show that an approximate optimal solution of the original problem can be obtained by solving an optimal solution of the smoothed optimization problem. Based on the perturbed smooth exact penalty function, we develop an algorithm respectively to finding an approximate optimal solution of the original constrained optimization problem and prove the convergence of the proposed algorithm. The effectiveness of the smoothed penalty function is illustrated through three examples, which show that the algorithm seems efficient.