Information Technologies and Mathematical Modelling. Queueing Theory and Applications

This book constitutes revised selected papers of the 20th International Conference on Information Technologies and Mathematical Modelling, ITMM 2021, named after A.F. Terpugov, held in Tomsk, Russia, in December 2021. Due to the COVID-19 pandemic the conference was held in a virtual mode. The 28 full papers presented in this volume were carefully reviewed and selected from 89 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.

Inhalt
Analysis of the Polling System with Two Markovian Arrival Flows, Finite Buffers, Gated Service and Phase-Type Distribution of Service and Switching Times.- Simulation of finite-source retrial queueing systems with impatient customers using different failure modes.- Markovian models of queuing systems with positive and negative replenishment policies.- Analysis of Open Queueing Networks with Batch Services.- N- Policy for a Production Inventory System with Positive Service Time.- Generalised Self-induced Service Interruption and Consequent Reduced Priority in Discrete-Time Queues.- On comparison of waiting time extremal indexes in queueing systems with Weibull service times.- On the existence of the stationary distribution in a cyclic polling system with autoregressive Poisson inputs.- Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems.- Application of k-out-of-n:G System and Machine Learning Techniqueson Reliability Analysis of Tethered Unmanned Aerial Vehicle.- Mathematical Model of the Tandem Retrial Queue M|GI|1|M|1 with a Common Orbit.- Analyzing the Effect of Catastrophic Breakdowns with Retrial Queues in a Two-Way Communication System.- Queueing system with two types of customers and limited processor sharing.- Energy Efficiency of a Single-Server with Inactive State by Matrix-Analytic Method.- Optimization of the adaptive control system for conflict Cox-Lewis flows.- Synergistic effects in queuing systems and related statistical problems.- An Explicit Solution for an Inventory Model with Positive Lead Time and Server Interruptions.- Optimization of the transmission of messages divided into different shares, transmitted on two different channels.- Stability of Applied Probability Systems, Their Limit Behavior and Optimization.- Retrial Queue MMPP/M/N under Heavy Load Condition.- On the application of queuing theory in the analysis of transients in the operation of a freight railway station.- Optimization of the Bartlett conflict traffic flows control process in the class of algorithms with a pedestrian mode.- PASTA for remaining service time in stable and unstable queues.- Application of machine learning methods to solving problems of queuing theory.- Resource requirements distribution evaluation for traffic offloading strategies in NR-U networks.- Stability Analysis for Retrial Queue with Collisions and $r$-Persistent Customers.- Asymptotic Analysis of Retrial Queueing System M/M/1 with Non-persistent Customers and Collisions.- Asymptotic analysis of MMPP/M/1 retrial queueing system with unreliable server.