Abstract
The purpose of this note is to show that it is possible to establish a many-server functional strong law of large numbers (FSLLN) for the fraction of occupied servers (i.e., the scaled number-in-system) without explicitly tracking through a measure valued process either the age or the residual service times of the jobs in a non-Markovian, non-stationary loss model. This considerable analytical simplification is achieved by exploiting a semimartingale representation. The fluid limit is shown to be the unique solution of a Volterra integral equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 338-344 |
| Number of pages | 7 |
| Journal | Operations Research Letters |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2021 |
All Science Journal Classification (ASJC) codes
- Software
- Management Science and Operations Research
- Industrial and Manufacturing Engineering
- Applied Mathematics
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