Abstract: Provided herein are systems and devices capable of detecting an event, such as the fall of a human. The devices may include a motion sensor, a heat sensor, and a vibration sensor. The devices and systems also may include an alarm and/or communication device configured to function when the event occurs.

Abstract: Provided herein are systems and devices capable of detecting an event, such as the fall of a human. The devices may include a motion sensor, a heat sensor, and a vibration sensor. The devices and systems also may include an alarm and/or communication device configured to function when the event occurs.

Abstract: An improved method and system for solving a combinatorial optimization problem, such as a tracking problem, to define a plurality of associations of measurements taken of a plurality of objects is provided. In one aspect, a method, a system and a computer program product are provided for constructing a plurality of updated tracks by solving a Lagrangian dual in which each of the measurement constraints has been relaxed. In another aspect, a hybrid branch and bound and LR technique is provided to select a plurality of updated tracks from among a plurality of candidate tracks having respective initial costs. In this regard, a search tree of the candidate tracks is ordered based upon the initial costs of the candidate tracks as adjusted by the dual variables that have been defined as a result of solving a Lagrangian dual.