Queueing theory is a mathematical study of waiting lines or queues used to model a wide array of practical systems such as call centres, manufacturing lines, computer networks and healthcare ...

Markov chains and queueing theory together provide a robust framework for analysing systems that evolve randomly over time. Markov chains describe stochastic processes where the future state depends ...

This paper develops two distinct models for studying inventory systems with continuous production and perishable items. The perishable items have a deterministic usable life after which they must be ...

It is shown that a class of infinite, block-partitioned, stochastic matrices has a matrix-geometric invariant probability vector of the form (x0,x1,...), where xk=x0Rk, for k≥ 0. The rate matrix R is ...

Queuing theory is the mathematical analysis of waiting in line. The line might involve data waiting for processing, equipment parts waiting in an assembly line or people waiting in line at various ...