The present invention is a method for identifying a Most-Probable-Point (MPP) in original space obviating the need for a probability transformation, for use in first order/second order reliability analysis. It comprises generating the linear approximation of a limit-state-function, g(x) about the median, mean point, or mode of random variables, x of g(x). g(x) is defined so that g(x)f0 denotes a failure set. The Most-Probable-Point-Locus (MPPL) of g.sub.1, MPPL.sub.1, is constructed by the steps of: i) identifying the mode of x; ii) identifying the MPP of g.sub.1 (x)=c, where c is an arbitrary constant, and iii) constructing said MPPL.sub.1 by connecting said mode of x from step i), above, and the MPPs corresponding to different c's from step ii), above. A quadratic search algorithm is to identify point MPP.sub.1, the intersection of MPPL.sub.1 and g(x)=0, based on the following convergence criteria: ##EQU1## The process is then stopped, unless the convergence criteria are not satisfied. g.sub.2, the linear approximation of the limit-state-function, g(x) about MPP.sub.1 is generated. MPP.sub.21, the Most-Probable-Point of g.sub.2 (x)=0 is located. The approximate MPPL of g.sub.2, MPPL.sub.2, is constructed by connecting the mode and the MPP.sub.21. The quadratic search algorithm is used to identify point MPP.sub.2,, the intersection of MPPL.sub.2 and g(x)=0 based on the convergence criteria. g.sub.f (x) is updated, where j=2, 3, . . . , m, where m is the total number of steps required for convergence.
A method of determining a connection between a data emitting device and a network device which may carry the data, wherein the network device is comprised of a store for a data source address of a last frame transmitted to the network device and an input traffic count comprising (a) periodically reading the data source address, (b) periodically reading the input traffic count, (c) determining whether the data source address has always stayed the same, (d) in the event the data source address has always stayed the same, determine whether the traffic count has exceeded a predetermined threshold, (e) in the event the result of step (d) is true, indicate that the data source address identifies with acceptable probability a data emitting device directly connected to the network device.
A method of determining a connection between a data emitting device and a network device which may carry the data, wherein the network device is comprised of a store for a data source address of a last frame transmitted to the network device and an input traffic count comprising: (a) periodically reading the data source address, (b) periodically reading the input traffic count, (c) determining whether the data source address has always stayed the same, (d) in the event the data source address has always stayed the same, determine whether the traffic count has exceeded a predetermined threshold, (e) in the event the result of step (d) is true, indicate that the data source address identifies with acceptable probability a data emitting device directly connected to the network device.
A method of determining the topology of a network comprising: transmitting a signal comprised of a sequence of bursts of packets formed of orthogonal signals, monitoring devices in the network including the destination device for reception of the signal, and defining a sequence of devices within the network by sensing a sequence of reception of the signal in the devices from the source device toward the destination device.
A method of determining a connection between a data emitting device j having address IP(j) and a data receiving device i having address IP(i) via a routing device, wherein the routing device utilizes a management information database MIB, establishing a mask field in the MIB for all devices in a subnet which passes data through the routing device having a property and indicating connection of a device i to a device j for devices in which the property is true.
