Work

The number of overlapping customers

Year: 2024

Type: article

Abstract: We consider the number of overlapping customers in several single- and multiserver queues, i.e., the number of customers whose visit to a service system at some point in time has an overlap with that of a tagged customer. Restricting ourself to the FCFS policy, we obtain the probability generating function and moments of the number of overlaps in the M / G / 1 , M / G / 1 / N , M / M / c and G / M / c queue and (as an approximation) the M / G / c queue.

Source: Operations Research Letters

DOI: 10.1016/j.orl.2024.107203

Author: Onno Boxma

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: $2,870

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek