The control of response times in multi-class systems by memory allocation
Communications of the ACM
Run-time resource management in SOA virtualized environments
Proceedings of the 1st international workshop on Quality of service-oriented software systems
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A class of two-dimensional Birth-and-Death processes, with applications in many modelling problems, is defined and analysed in the steady-state. These are processes whose instantaneous transition rates are state-dependent in a restricted way. Generating functions for the steady-state distribution are obtained by solving a functional equation in two variables. That solution method lends itself readily to numerical implementation. Some aspects of the numerical solution are discussed, using a particular model as an example.