Advances, Systems and Applications
Table 1 List of mathematical notations
From: A multi-objective optimization for resource allocation of emergent demands in cloud computing
Symbol | Annotation | Symbol | Annotation |
|---|---|---|---|
\( {f}_{i+1}^k \) | the objective value of the i + 1 the individual on the dimension k | vik | the resource demand of the VM vi for k type of resource |
Li | the priority of a user’s resource allocation | \( {p}_{jk}^f \) | The free k type of resource of the physical server pj |
vi | the i th VM request | N | the initial population size |
pj | a physical server | xij | the mapping element between a VM and a PM |
MDij | resource performance matching distance | MPij | resource proportion matching distance |
ε | the threshold of the distance between two individuals | dij | Euclidean distance of two adjacent i and j individuals |