Abstract The problem of allocating optimum heterogeneous redundancy in multi-state series-parallel reliability structures is addressed in this paper. The objective is to obtain a configuration that minimizes the total cost of system design satisfying the given reliability constraint and the...

This paper attempts to review the urn model and its applications in various fields of engineering, science, social science, mathematics and finance. Some of the models and applications mentioned in this paper are recent and did not find mention in Feller (1968), Kotz and Balakrishnan (1997), and...

The problem of allocating optimum heterogeneous redundancy in multi-state series-parallel reliability structures is addressed in this paper. The objective is to obtain a configuration that minimizes the total cost of system design satisfying the given reliability constraint and the consumer load...

Abstract In this paper the reliability analysis of two new models generalizing the m -consecutive- k -out-of- n : F system is carried out using GERT: Model I: m -consecutive- k -out-of- n : F system with ( k -1)-step Markov dependence, and Model II: m -consecutive- k -out-of- n : F system with...

In this paper the reliability analysis of two new models generalizing the m-consecutive-k-out-of-n:F system is carried out using GERT:

A class of quasi-Polya distributions (QPDs) has been determined by using the three-urn model with predetermined strategy. This class includes a number of QPDs as its particular cases. The limiting properties of these QPDs along with their moments have also been discussed.