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Advances, Systems and Applications

Table 2 Additional notation

From: Energy efficient temporal load aware resource allocation in cloud computing datacenters

Parameters

Definition

\( {x^{\prime}}_{r,{n}_h}^{m_t} \)

Number of type r VMs of server mt assigned to serve job nh at the current time slot.

\( {N}_h^{\prime } \)

Total number of current type h jobs

\( {\nu^{\prime}}_{n_h}^r \)

Number of type r VMs required by job nh at current time slot left in the system.

\( {x^{\prime}}_{r,{n}_h}^{j_t} \)

Number of type r VMs serving job nh on a type t server with pattern jt at current time slot

\( {m^{\prime}}_{\ell, e}^{j_t} \)

Number of active type t servers with pattern jt in the rack of pod â„“ at the current time slot.

\( {\varphi^{\prime}}_{\ell, e}^{f,{j}_t} \)

Binary variable denoting whether type t server on rack e in pod â„“ which has pattern jt at current time slot is active or not.

G r

Power consumption related to the migration of type r VMs

\( {x}_{r,h}^{{\overset{\sim }{I}}_t} \)

Number of type r VMs assigned to type h jobs over the server type t by the initialization pattern \( {\overset{\sim }{I}}_t \).

R h

Different VM types demanded by type h jobs.