Bibliographic Details
| Title: |
A STUDY OF QUEUE DYNAMICS IN DISCRETE-TIME N-POLICY SYSTEM WITH CUSTOMER SWITCHING BEHAVIOUR. |
| Authors: |
LAXMI, P. VIJAYA1 vijayalaxmiau@gmail.com, ANJALIDEVI, G.1 anjalidevigilaka@gmail.com |
| Source: |
Reliability: Theory & Applications. Mar2026, Vol. 21 Issue 1, p344-358. 15p. |
| Subjects: |
Queuing theory, Matrix analytic methods, Mathematical programming, Stability theory, Queueing networks |
| Abstract: |
This paper investigates a discrete-time queueing system with two parallel servers operating under an N-policy framework and allowing jockeying behaviour. In this model, customers may switch between queues to reduce their waiting time. Upon arrival, a customer typically joins the shorter queue; if both queues have the same length, the choice is made randomly. After joining a queue, customers may still switch if they perceive a faster service opportunity. We analyse the steady-state behaviour of the system using the matrix-geometric method. In addition, we derive the necessary and sufficient condition for system stability, obtain several key performance measures, and formulate a corresponding cost optimisation problem. Numerical experiments, supported by graphical and tabular results, demonstrate the effectiveness and practicality of the proposed analysis. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
