Semi-log-convexity of M/M/∞ queues on Z+

Huige Chen and Huaiqian Li

Statistics & Probability Letters, 2025, vol. 223, issue C

Abstract: We solve the problem left in the recent paper by N. Gozlan et al [Potential Analysis 58, 2023, 123–158], establishing the semi-log-convexity of semigroups associated with M/M/∞ queuing processes on the set of non-negative integers. Our approach is global in nature and yields the sharp constant.

Keywords: Discrete Laplacian; M/M/∞ queue; Semi-log-convexity (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110432

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