Work

The M/M/c queue with mass exodus and mass arrivals when empty

Year: 2015

Type: article

Abstract: In this paper we consider an M/M/c queue modified to allow both mass arrivals when the system is empty and the workload to be removed. Properties of queues which terminate when the server becomes idle are firstly developed. Recurrence properties, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no mass exodus. All of these results are then generalized to allow for the removal of the entire workload. In particular, we obtain the Laplace transformation of the transition probability for the absorptive M/M/c queue.

Source: Journal of Applied Probability

DOI: 10.1017/s0021900200113038

Authors: Lina Zhang, Junping Li

Institution: Central South University

Language: English

Topic: Advanced Queuing Theory Analysis

Subfield: Management Information Systems

Field: Business, Management and Accounting

Domain: Social Sciences

Open Access status: bronze

Funder: Specialized Research Fund for the Doctoral Program of Higher Education of China

OpenAlex ID: W2263789006