Showing 2024 · math.PRShow all
2 papers · 2 filters
math.PR2024
An infinite server system with packing constraints and ranked servers
Alexander Stolyar
A service system with multiple types of customers, arriving as Poisson processes, is considered. The system has infinite number of servers, ranked by ; a server rank…
math.PR2024
Asymptotic optimality of dynamic first-fit packing on the half-axis
Philip A. Ernst, Alexander L. Stolyar, Jixin Wang
We revisit a classical problem in dynamic storage allocation. Items arrive in a linear storage medium, modeled as a half-axis, at a Poisson rate and depart after an independent…