Open AccessQueueing Systems with Random Volume Customers and their Performance Characteristics
Author(s) -
Oleg Tikhonenko,
Marcin Ziółkowski
Publication year - 2021
Publication title -
journal of information and organizational sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.146
H-Index - 13
eISSN - 1846-9418
pISSN - 1846-3312
DOI - 10.31341/jios.45.1.2
Subject(s) - queueing theory , computer science , volume (thermodynamics) , homogeneity (statistics) , homogeneous , stochastic process , layered queueing network , mathematical optimization , computer network , mathematics , statistics , machine learning , physics , quantum mechanics , combinatorics
In the paper, we consider non-classical queueing systems with non-homogeneous customers. The non-homogeneity we treat in the following sense: in systems under consideration, we characterize each customer by random capacity (volume) that can have an influence on his service time. We analyze a stochastic process having the sense of the total volume of all customers present in the system at given time instant. Such analysis for different queueing systems with unlimited or limited total volume can be used in designing of nodes of computer and communication networks while determining their buffer space capacity. We discuss basic problems of the theory of these systems and their performance characteristics. We also present some examples and results for systems with random volume customers