4 papers · 1 filter
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…
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…
Large-scale heterogeneous service systems with general packing constraints
Alexander Stolyar
A service system with multiple types of customers, arriving according to Poisson processes, is considered. The system is heterogeneous in that the servers also can be of multiple t…
Diffusion scale tightness of invariant distributions of a large-scale flexible service system
Alexander Stolyar
A large-scale service system with multiple customer classes and multiple server pools is considered, with the mean service time depending both on the customer class and server pool…