papers

Publications (42)

math.PR2025

Finite customer-pool queues

Onno Boxma, Offer Kella, Michel Mandjes

In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and…

math.PR2022

An exact analysis and comparison of manual picker routing heuristics

Tim Engels, Ivo Adan, Onno Boxma +1

This paper presents exact derivations of the first two moments of the total picking time in a warehouse for four routing heuristics, under the assumption of random storage. The ana…

math.PR2014

On open problems in polling systems

Marko Boon, Onno Boxma, Erik Winands

In the present paper we address two open problems concerning polling systems, viz., queueing systems consisting of multiple queues attended by a single server that visits the queue…

math.PR2016

Performance analysis of polling systems with retrials and glue periods

Murtuza Ali Abidini, Onno Boxma, Bara Kim +2

We consider gated polling systems with two special features: (i) retrials, and (ii) glue or reservation periods. When a type- customer arrives, or retries, during a glue period…

math.PR2020

Single-server queues under overdispersion in the heavy-traffic regime

Onno Boxma, Mariska Heemskerk, Michel Mandjes

This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the num…

math.PR2014

A Two-Queue Polling Model with Two Priority Levels in the First Queue

Marko Boon, Ivo Adan, Onno Boxma

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. T…