Work

Batch sojourn and delivery times in polling systems on a circle

Year: 2024

Type: article

Abstract: In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a location that is uniformly distributed on the circle. A single server cyclically traverses the circle to serve all customers. Using mean value analysis, we derive the expected number of waiting customers within a given distance of the server. We exploit this to obtain closed-form expressions for both the mean batch sojourn time and the mean time to delivery.

Source: Probability in the Engineering and Informational Sciences

DOI: 10.1017/s0269964824000238

Authors: Tim Engels, Ivo Adan, Onno Boxma, Jacques Resing

Institution: Eindhoven University of Technology

Language: English

Topic: Advanced Queuing Theory Analysis

Subfield: Management Information Systems

Field: Business, Management and Accounting

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek