Abstract
Algebraic models of tandem single-server queueing systems with both finite and infinite buffers are developed in terms of max-algebra. The dynamics of each system is described by a vector state equation with a transition matrix inherent in the system. We show how transition matrices may be calculated, and present the matrices associated with certain particular models. Finally, both serial and parallel simulation procedures based on the models are discussed, and their performance is outlined.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of European Simulation Multiconference: Modelling and Simulation (ESM'95). Prague, Czech Republic |
| Editors | M. Snorek, M. Sujansky, A. Verbraeck |
| Publisher | Society for Computer Simulation International |
| Pages | 271-275 |
| ISBN (Print) | 1-56555-080-3 |
| Publication status | Published - 1995 |
Scopus subject areas
- Modelling and Simulation
- Algebra and Number Theory
- Management Science and Operations Research