RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS

Abstract

In this paper it is performed, based on dynamic models, a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial networks when the numbers of subnets and units in each subnet are predefined, constant numbers, but also when the lifetimes of the units are independent random variables. The equations for calculating the reliability of the related networks have been deduced. These functions are deduced for the dynamic model which is less studied and it is prooved to be relevant to the static model too. All equations are demonstrated and graphically illustrated in some examples. A few examples are analyzed graphically for different values of the number of units in the subnet and the number of subnets. This paper contains four different network topology models which are also analyzed by equations and graphically. The mathematical model described and the deduced equations will serve as a basis for the subsequent analysis of the dynamic networks of various topologies and various types of random variables that describe the lifetimes of the units of the analyzed system.

Keywords

• cumulative distribution function
• distributions
• global maximum
• lifetime
• survival functions