A Note on Simulating Predecessor-Successor Relationships in Critical Path Models

Authors

  • Gregory L. Light

DOI:

https://doi.org/10.34257/GJSFRFVOL21IS2PG1

Keywords:

CPM simulation, directed graphs, ordered networks, circuitry designs, logical flows

Abstract

For any n entities, we exhaust all possible ordered relationships, from rank (or the highest number of connections in a linear chain, comparable to matrix rank) 0 to (n - 1). As an example, we use spreadsheets with the “RAND” function to simulate the case of n = 8 with the order-length = 3, as from a total of 10000 possibilities by the number of combinations of selecting 2 (a pair of predecessor-successor) out of 5 (= card{A, B, C, D} + 1) matchingdestinations followed by an exponentiation of 4 (= 8 – card{A, B, C, D}). Since the essence of this paper is about ordered structures of networks, our findings here may serve multi-disciplinary interests, in particular, that of the critical path method (CPM) in operations with management. In thisconnection, we have also included, toward the end of this exposition, a linear algebraic treatment that renders a deterministic mathematical programming for optimal predecessor-successor network structures.

How to Cite

Gregory L. Light. (2021). A Note on Simulating Predecessor-Successor Relationships in Critical Path Models. Global Journal of Science Frontier Research, 21(F2), 1–6. https://doi.org/10.34257/GJSFRFVOL21IS2PG1

A Note on Simulating Predecessor-Successor Relationships in Critical Path Models

Published

2021-01-15