A network management apparatus and method for determining an optimum threshold value for a monitored characteristic of a network is described. The papers are clipped between a holding end portion located on the other side of the connection top portion and a case by return force of the holding portion that rotates with the connection top portion as a fulcrum. A high pressure hose provides gaseous communication between the first valve and the second valve. If the determining step is associated with an existing logical device, then a logical device allocation map and a sheet allocation table are accessed to allocate a selected storage unit. In some embodiments, the person agrees to \u201cbuy\u201d the warnings and concomitant free time by agreeing to pay for at least one warning communication andor by agreeing to accept advertisements. The device can be employed to provide a frequency controlled power supply.