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Table 1 Summary of notations

From: Energy-efficient proactive edge caching with sleep scheduling for green networks

Notation

Description

S t

State at the decision epoch t

A t

Action chosen at the decision epoch t

Ï„

Duration of each decision epoch

\({\mathbb {S}}\)

State space

\({\mathbb {P}}\)

State space for denoting the popularity of contents

\({\mathbb {M}}\)

State space for denoting the mode of SCs

\({\mathbb {N}}\)

State space for denoting the number of users in SCs

\({\mathbb {C}_{i}}\)

State space for denoting cached contents in SC i

N S

Number of SCs

N C

Number of contents

M U

Maximum number of users in one SC

\({\mathbb {A}}\)

Action space

A M

Action vector for deciding mode

A C

Action vector for deciding whether each content is cached at SCs

ξ

Maximum number of contents which can be cached in SCs

E A

Energy consumption of the active mode during Ï„

\(N_{R}^{i,j}\)

Expected number of requests for content j in SC i

λ

Discount factor