Abstract: In some embodiments, an apparatus and a system, as well as a method and an article, may operate to receive parameters for a first node of a network, the network including a plurality of segments through which an object is to be routed and a plurality of nodes, including the first node, representative of intersections of two or more segments of the plurality of segments; to generate segment lengths for segments between the first node and neighboring nodes to identify a nearest neighboring node with a shortest segment length relative to the first node; and to repeat operations of receiving parameters, generating segment lengths, and identifying nearest neighboring nodes until a route has been identified between a first endpoint and a second endpoint of the network. Additional apparatus, systems, and methods are disclosed.

Abstract: Systems and methods for monitoring, diagnosing and optimizing operation of a gas lift (GL) system, at least some of which include a method that includes collecting measured data representative of the GL system's state, storing the measured data, comparing the measured data to a well model's calculated data for the well and identifying likely conditions of the GL system based on mismatches between the measured data and the calculated data. The method further includes updating the model to reflect the likely conditions and selected corrections of the likely conditions, generating GL system performance curves using the updated model and presenting to a user actions recommended to achieve a GL system performance consistent with a GL system operating point on at least one of the GL system performance curves.

Abstract: In some embodiments, an apparatus and a system, as well as a method and an article, may operate to receive parameters for a first node of a network, the network including a plurality of segments through which an object is to be routed and a plurality of nodes, including the first node, representative of intersections of two or more segments of the plurality of segments; to generate segment lengths for segments between the first node and neighboring nodes to identify a nearest neighboring node with a shortest segment length relative to the first node; and to repeat operations of receiving parameters, generating segment lengths, and identifying nearest neighboring nodes until a route has been identified between a first endpoint and a second endpoint of the network. Additional apparatus, systems, and methods are disclosed.

Abstract: Systems and methods for monitoring, diagnosing and optimizing operation of a gas lift (GL) system, at least some of which include a method that includes collecting measured data representative of the GL system's state, storing the measured data, comparing the measured data to a well model's calculated data for the well and identifying likely conditions of the GL system based on mismatches between the measured data and the calculated data. The method further includes updating the model to reflect the likely conditions and selected corrections of the likely conditions, generating GL system performance curves using the updated model and presenting to a user actions recommended to achieve a GL system performance consistent with a GL system operating point on at least one of the GL system performance curves.