Advances, Systems and Applications
Table 1 Notations and mapping of multitenancy problem to QN model and MMKP
From: Optimal deployment of components of cloud-hosted application for guaranteeing multitenancy isolation
Notation | Multitenancy isolation problem | MMKP | QN model |
|---|---|---|---|
N | Total number of groups of components | Total number of groups of objects | Total number of classes |
l | Total number of items in a group | Total number of objects in a group | - |
m (K is used for QN) | Total number of resources | Total number of resources | Total number of service centers |
α (k is used for QN) | Index for resource supporting a component | Index for resource supporting a component | Index for service centers |
i (c is used for QN) | Index value for the Group | Index value for the Group | Index value for the Class |
j | Index value for the component | Index value for the object | - |
a ij | A component which is associated with isolation value, number of requests, cpu, ram, disk and bandwidth size | Objects in a group | - |
c | Group of component (c1,...,cN) | Group of objects | Class |
\(r_{ij}^{\alpha }\) | Resource consumption of each component | Resources required by the object in the knapsack | Service centres in the system (cpu, ram, disk, bandwidth) |
R | Limit of each resource supporting each component (R(=1,m)) | Resources available in the knapsack (knapsack capacity) | System/Component capacity |
I ij | Isolation value for a component.Used to compute G. | - | - |
Q ij | The number of requests allowed to access a component. Used to compute G | - | The queue length of class c at centre k, |
D c, k | The service demands at the cpu,ram,disk, and bandwidth | - | Service demand of class c at k service centres (cpu, ram, disk, bandwidth) |
λ ij | Workload on the component (arrival rate of request to the component/system) | - | Workload on the component (arrival rate of request to the component/system) |
g ij | Optimal value for one component in a group | Profit of one object in MMKP | - |
\(\mathcal {G}\) | Optimal function of the solution | Profit of the solution in MMKP | - |