Mathematical modeling of the workload processing in the information and communication network

Abstract

The functioning of a modern information and communication network is impossible without software, which partially replaces specialized equipment when solving network tasks. These tasks form a workload that needs to be processed by a distributed server infrastructure within the network. There are requirements for each type of workload regarding the quality of its processing (maximum service time, permissible losses, etc.). Thus, there is a need to establish relationships between quality indicators and parameters of the processing system to ensure the fulfillment of these requirements using mathematical modeling. The paper proposes a mathematical model of a distributed workload processing system in the information and communication network as a queuing system. Unlike known models, the proposed model considers the possible variable nature of the input workload arrival rate and parallelization methods that may be applied to the software that implements it. Within the modeling process, a method of transition from a non-stationary non-ordinary incoming queries’ flow to an ordinary stationary flow is proposed. Based on the constructed mathematical model, a complex method of energy-efficient workload processing has been developed. A laboratory experiment has proven the efficiency of the proposed complex method and the mathematical model’s adequacy in its basis.