Journal of Computational Mathematica

Bivariate Optimal Replacement Policies under Partial Product Process for Multistate Degenerative Systems

Affan Ahmed J — 2026-01-13

In this paper, we consider on a multistate degenerative system with k working states and l-failure states and study the maintenance problems under various bivariate replacement polices (T, N),(T +, N),(U, N),(U −, N). The long-run average cost of a multistate degenerative system is calculated. Under the afore-mentioned bivariate replacement policies under partial product process optimality in inferred. In this study, the results developed are strengthened with numerical examples.

Generalization of Product Cordial Magic and Super Mean Labeling on Three Dimensional Graph and its Applications

Thanigajalam M — 2026-06-30

A Graphical representation of a graph are labeled by positive integers then the resultant graph is a r-regular graph. In this paper we introduce a product of two multi magic labeling on any r- regular graph and magic Petersen graph was introduced. Applications of magic Petersen graph and product of two multi magic labeling are also dealt in this research article.Well defined three dimensional cubic graphs are taken for initializing the new labeling called product of magic labeling.