Description
The handbook is organized into five parts: . Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden. stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures. the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic. the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks. loss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest. the intertwined progress of theory and practice will remain to be most intriguing and will continue to be the basis of further developments in queueing networks. On Practical Product Form Characterizations.- Order Independent Queues.- Insensitivity in Stochastic Models.- Palm Calculus, Reallocatable GSMP and Insensitivity Structure.- Networks with Customers, Signals, and Product Form Solutions.- Discrete Time Networks with Product Form Steady States.- Decomposition and aggregation in queueing networks.- Stochastic comparison of queueing networks.- Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks.- Stability of join-the-shortest-queue networks: analysis by fluid limits.- Methods in Diffusion Approximation for Multi-Server Systems: Sandwich, Uniform Attraction and State-Space Collapse.- Queueing networks with Gaussian inputs.- Mean values techniques.- Response time distributions in networks of queues.- Decomposition-Based Queueing Network Analysis with FiFiQueues.- Loss networks.- A Queueing Analysis of Data Networks.- Modeling a hospital queueing network.
