Welcome to the Stochastic Modelling Research Group (SMRG) at the Central University of Kerala. Our research primarily focuses on applied probability and stochastic operations research. More precisely, Stochastic Modelling and its Analysis of Queues/Storage Systems/Reliability, Stochastic Games in Queues, Telecommunications Networks and Applications. We are dedicated to exploring the cutting-edge frontiers of stochastic processes to enhance system reliability and address complex decision-making challenges in service systems. Our research focuses on Reliability Enhancement and Game-Theoretic Analysis within the realm of Stochastic Modelling and Analysis of Queueing-Inventory Systems.
The study of k-out-of-n system reliability is vital both theoretically and practically. It opens up new mathematical methods and has widespread applications in telecommunications, transportation, construction, and services. These models guide optimal strategies for high system reliability in real-world scenarios. Despite the existence of a well-developed theory for k-out-of-n repairable systems, the field remains underexplored, prompting researchers to develop models that account for various system nuances. Therefore, our research aims to maximize reliability in k-out-of-n configurations, which is crucial for applications like traffic signals, defence, satellite launches, and orbital communications.
Our other innovative approach seeks to unravel the intricacies of stochastic models, integrating advanced mathematical and analytical tools to optimize the cost in service systems and improve operational efficiency. By leveraging game theory, we tackle intricate decision-making scenarios that arise in customer/servers' dynamic, rational behaviour in queues and integrated queueing-inventory systems.
Join us as we push the boundaries of mathematical theory and practical applications to deliver groundbreaking insights and solutions for real-world challenges.