In spite of increased attention on explainable machine learning models, explaining multi-output predictions has not yet been extensively addressed. Methods that use Shapley values to attribute feature contributions the decision making are one most popular approaches explain local individual and global predictions. By considering each output separately in tasks, these methods fail provide comple...

in the last two decades due to globalization of supply chain, enormous changes occurred in chains. leaders in this field, always facing new risks and disorders that should prepare themselves to deal with them. in the recent years, sanctions as one of the most serious risks have damaged the supply chains. however, in the research related to global supply chains, modeling of disruption has been n...

The Wiener index is the sum of distances between all pairs of vertices in a connected graph. In this paper, explicit expressions for the expected value of the Wiener index of three types of random pentagonal chains (cf. Figure 1) are obtained.