A facility for operating an application on a server having a number of processors is described. The facility receives a number of application requests, each addressed to one of a plurality of instances of the application executing on the server. The facility causes each received application request to be processed in the application instance to which it was addressed, using exclusively processing resources of a selected one of the plurality of processors on which the application instance was invoked, using exclusively memory locations served by memory modules to which the selected processor is directly connected.