Non-standard insensitivity
- 1 June 1983
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 20 (2) , 288-296
- https://doi.org/10.2307/3213802
Abstract
The paper takes a closer look at some insensitivity results which are not contained in the class of insensitive generalised semi-Markov schemes. Based on a study of a special insensitive queue, a conjecture is proposed which covers all known results on insensitive equilibrium distributions. When insensitive events are also included, a study of the G/G/1 queue shows that the conjecture does not always hold.Keywords
This publication has 9 references indexed in Scilit:
- Insensitivity of steady-state distributions of generalized semi-Markov processes by speedsAdvances in Applied Probability, 1978
- The insensitivity of stationary probabilities in networks of queuesAdvances in Applied Probability, 1978
- A Generalization of Erlang's Loss System to State Dependent Arrival and Service RatesMathematics of Operations Research, 1978
- Product Form and Local Balance in Queueing NetworksJournal of the ACM, 1977
- Random Overlapping Intervals--A Generalization of Erlang's Loss FormulaThe Annals of Probability, 1976
- Networks of queuesAdvances in Applied Probability, 1976
- An extension of Erlang's loss formulaJournal of Applied Probability, 1976
- Open, Closed, and Mixed Networks of Queues with Different Classes of CustomersJournal of the ACM, 1975
- An extension of Erlang's formulas which distinguishes individual serversJournal of Applied Probability, 1972