| Article ID: | iaor19911086 |
| Country: | United States |
| Volume: | 38 |
| Issue: | 1 |
| Start Page Number: | 173 |
| End Page Number: | 181 |
| Publication Date: | Jan 1990 |
| Journal: | Operations Research |
| Authors: | Green Linda, Melamed Benjamin |
| Keywords: | queues: theory |
PASTA (Poisson Arrivals See Time Averages) is a term coined by R. Wolff in his well known 1982 paper. In keeping with Wolff’s terminology, the authors use the term anti-PASTA to refer to the following converse of PASTA. Given that arrivals do indeed see time averages, when must the arrival process necessarily be Poisson? The authors show that anti-PASTA is satisfied in a pure-jump Markov process, provided that the arrival process corresponds to a subset of the Markov process jumps.