International Journal of Advanced Networking and Applications

Manoj Singhal ¹, Girish Sharma ², R. K. Chauhan ³

Affiliations
1 Department of Information Technology, Accurate Institute of Management and Technology, Greater Noida (U.P.), IN
2 Department of Computer Applications, Bhai Parmanand Institute of Business Studies, New Delhi, IN
3 Departement of Computer Science and Applications, Kurukshetra University, Kurukshetra, IN

Abstract

We know that binary decision diagram is a data structure that is used to store a Boolean function. They are used to find out the terminal reliability of a computer communication network. To generate the binary decision diagram of a given computer communication network, we need to order the edges of the given computer communication network because the size of the binary decision diagram is dependent on the ordering of the variables (edges). There are three types of variable ordering; optimal, good and bad ordering. Optimal ordering are those ordering which generate minimum size binary decision diagram. In this paper we have shown that if a directed computer communication network has m disjoints min-paths then m! optimal variable orderings exist to generate the binary decision diagrams of the given computer communication network.

Keywords

Binary Decision Diagrams (BDD), Computer communication Network (CNN), Directed Acyclic Graph (DAG), Modified Binary Decision Diagrams (MBDD).

Full Text

   

Manoj Singhal ¹, R. K. Chauhan ², Girish Sharma ³

Affiliations
1 Dept. Of MCA, Academy of Business and Engineering Sciences, Ghaziabad (U.P.), IN
2 Deptt. of Computer Science and Applications, Kurukshetra University, Kurukshetra, IN
3 Deptt. of MCA, Bhai Parmanand Institute of Business Studies, Delhi, IN

Abstract

In this paper we adopted a new approach for evaluating the size of the BDD and also generated modified binary decision diagrams for calculating the reliability of the given directed computer communication network. We have also shown that these modified binary decision diagrams are of minimum size. Conclusively, we can say that more than one optimal variable ordering may exist for finding the reliability of particular networks.

Keywords

Binary Decision Diagrams (BDD), Directed Acyclic Graph (DAG), Computer Communication Network (CNN), Ordered Binary Decision Diagrams (OBDD).

Full Text