A replicated finite state machine lock service facilitates resource sharing in a distributed system. One method embodiment includes providing an operating system capable of supporting variable page sizes. Each of the pilot signals is derived from a pseudo noise sequence and a bit sequence of the PN sequence for each of the pilot signals is different. A measuring device measures the deflection of the holder parts relative to one another. At the second isomerization stage, at least part of the intermediate stream and at least a part of a stream rich in at least one naphthene can be contacted at a second isomerization condition to obtain a concentration of at least one alkylaromatic isomer that is higher than a concentration of that at least one alkylaromatic isomer in the non-equilibrium alkylaromatic feed mixture.