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Advances, Systems and Applications

Journal of Cloud Computing Cover Image

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 at the current time slot.
\( {\varphi^{\prime}}_{\ell, e}^{f,{j}_t} \) Binary variable denoting whether type t server on rack e in pod 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.