Context-Aware Adaptation of Component-Based Systems: An Active Repository Approach

Table 1

Mathematic model.

Indexes
i,j	Component indexes
𝑘	Required interface index
L	Provided interface index
Parameters
C	Set of components in the repository, 𝐶0 is the system itself
𝐴𝑖	Set of required interfaces of the component i
𝑃𝑖	Set of the provided interfaces of the component i
𝑀𝑖𝑙	Maximum connections supported by the interface l of the component i
𝑉𝑖	Cost when using component i
𝐷𝑘𝑙	1 if the required interface k is compatible with the provided interface l
Decision variables
𝑋𝑖	1 if the component i was used in the current configuration; 0 otherwise
𝑌𝑖𝑘𝑗𝑙	1 if the required interface 𝑘 of the component 𝑖 is connected in the provided interface 𝑙 of component 𝑗; 0 otherwise