Abstract
Norton’s theorem considers aggregation and decomposition of large queueing
networks comprised of sub-networks such that the detailed characteristics of sub-networks do not affect the detailed characteristics of other sub-networks. Insensitivity of a station to its service time distribution means that the probability of the number of customers present is irrespective of the service time distribution, except for its mean, which may also be viewed as an aggregation property of the service time distribution. We consider the relation between Norton’s theorem and insensitivity.
networks comprised of sub-networks such that the detailed characteristics of sub-networks do not affect the detailed characteristics of other sub-networks. Insensitivity of a station to its service time distribution means that the probability of the number of customers present is irrespective of the service time distribution, except for its mean, which may also be viewed as an aggregation property of the service time distribution. We consider the relation between Norton’s theorem and insensitivity.
| Original language | English |
|---|---|
| Pages (from-to) | 181-183 |
| Number of pages | 3 |
| Journal | Queueing systems |
| Volume | 100 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 1 May 2022 |
Keywords
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