Overlap times in the infinite server queue

نویسندگان

چکیده

Abstract Imagine, you enter a grocery store to buy food. How many people do overlap with in this store? much time each person the In paper, we answer these questions by studying times between customers infinite server queue. We compute closed form steady-state distribution of pair and number that an arriving customer will with. Finally, define residual process counts overlapping queue for at least $\delta$ units its distribution.

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ژورنال

عنوان ژورنال: Probability in the Engineering and Informational Sciences

سال: 2023

ISSN: ['1469-8951', '0269-9648']

DOI: https://doi.org/10.1017/s0269964822000456