ANALYSIS OF SERIAL QUEUES LINKED WITH NON-SERIAL SERVICE CHANNELS CHARACTERIZED BY FEEDBACK AND CUSTOMERS’ BEHAVIOUR

Abstract

This research primarily presents a model involving R-serial service channels connected to S non-serial service channels. Feedback mechanisms are applied to the serial queues, while balking and reneging behaviors, triggered by urgent calls/messages or customer impatience, are analyzed in both serial and non-serial queues. After developing the queuing model, the system’s differential-difference equations are formulated in a compact form, and their solutions are derived by reducing them to the steady-state form for unlimited waiting capacity. Marginal probabilities and mean queue lengths are calculated to evaluate the system's performance in this scenario.

Keywords

• differential-difference equations
• exponential
• impatient behaviour
• poisson
• probabilities
• queue discipline
• service channels
• steady-state
• urgent message
• waiting space