|  | ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
 No. 12. Vol. 24. 2018
 DOI:  10.17587/it.24.772-781 V. A. Bogatyrev, D. Sc., Professor, e-mail: vladimir.bogatyrev@gmail.com, S. A.  Parshutina, Postgraduate, e-mail: svetlana.parshutina@gmail.com, St.  Petersburg National Research University of Information Technologies, Mechanics  and Optics The Analysis of How the Redundancy Degree of Multipath Transmissions  Affects the Probability of their Timely Service The possibility of using redundant processing  of delay-sensitive requests to increase the probability of timely faultless  service and reduce delays in multipath data transmission systems is  investigated. Simulation is used to evaluate the effectiveness of redundant  multipath transmissions: the process of sending multiple copies of packets  along different paths in a given network, in order to deliver them to one  destination node or to one of several service nodes which are ready to execute  incoming requests. The models are developed based on the discrete-event  approach in AnyLogic 7 Professional simulation environment.P. 772–781The degree of redundancy defines the number  of copies of packages which are distributed among different routes in the  network and depends on the sensitivity of these packets to time delays.
 In distributed computer systems, the  redundant multipath data transmission and the redundant multipath distribution  of requests are considered the ways of increasing the efficiency of  communication between computational processes which exchange messages that are  critical to service delays over the network.
 The redundant data transmission means that  data packets are cloned and copies of those packets travel along several paths  to one destination node. Data are regarded to be transmitted successfully if at  least one copy of each packet has been delivered to that node in time, i.e.  within a given period of time. The redundant distribution of requests over the  network implies that copies of requests are forwarded along several routes to  one or more destination nodes, which have been selected out of all possible  ones in some way. A request is regarded to be distributed successfully if at  least one copy of it has been delivered to all selected nodes within the  specified time and those nodes have been ready for serving incoming requests.  The effectiveness of redundant multipath transmissions — when the time of  delivery of packets is limited — is determined by the probability of timely  faultless service.
 The existence of the scope of efficiency for the  redundant multipath data transmissions and the redundant multipath distribution  of requests, with considering their sensitivity to time delays, is shown.
 It is found that there exists the optimal  degree of redundancy that ensures the maximization of the probability of timely  and faultless distribution of the multiplied requests over a given network when  those requests are critical to time delays and/ or can be transmitted only  once.
 It was also discovered that the optimal  redundancy degree of multipath transmissions depends on the intensity of the  flow of requests and their sensitivity to time delays.
 Keywords: redundancy, multipath  transmission, distribution of requests, sensitivity to time delays
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