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Table 1 Notation table

From: A wireless caching helper system with heterogeneous traffic and random availability

Notation

Description

\(q_{U}\)

Probability of U requesting a file from external resources, i.e., D, S, or the DC

\(p_{hD}\)

Probability of cache hit at D

\(p_{hS}\)

Probability of cache hit at S

\(q_{S}\)

Probability of S being available for D

\(q_{C}\)

Probability of S being available for U

\(q_{D}\)

Probability of D being available for U

\(\alpha\)

Probability of DC being available for U

\(P_{i \rightarrow j }\)

Success probability of link \(i \rightarrow j\), when i is transmitting

\(P_{i \rightarrow j / k}\)

Success probability of link \(i \rightarrow j\), when i and k are transmitting

\(\mathsf {P}( i \Rightarrow j)\)

Probability of queued node i attempting transmissions to j