Advances, Systems and Applications
Table 1 The main parameters table
Parameter | Definition |
|---|---|
M/\(\mathcal {G}^M\)/m | Number/Node set/Physical node |
L/ \(\mathcal {G}^L\) /\(l_{mn}\) | Number of physical link/Physical link set/Physical link |
H/ \(\mathcal {H}\) /h | Number of Resources/Resource type set/Resource type |
\(A_m^h\) / \(A_{mn}^{BW}\) | Maximum customizable resources h for node m / Maximum customizable bandwidth for link mn |
\(Q_m^h(t)\) / \(Q_{mn}^{BW}(t)\) | Utilization ratio of resource h in node m / bandwidth in physical link mn at time slot t |
t/\(\sigma\) | Index/duration of time slot |
S/\(\mathcal {S}\)/s | Traditional ATS service on cloud computing |
\(\mathcal {O}_s\)/\(O_s\) | The set/number of sequenced microservice for ATS service s |
\(V_o^s\) | The o-th microservice in service s |
\(\mu _s\)/\(\vartheta _s\) | Maximum tolerable interruption time / traffic rate of traditional ATS service s |
\(\varphi _{(o,s)}^h\) / \(M_o^s\) | The number of resource type h needed / cost of a backup microservice \(V_o^s\) |
\(\chi _o^s(t)\) | The influence ratio of the backup placement to \(V_o^s\) |
\(X_o^s(t)/b_o^s(t)/D_o^s(t)\) | The packet size/bandwidth/delay of synchronization link of \(V_o^s\) |
\(k_{(o,s)}^m(t) / \check{k}_{(o,s)}^m(t)\) | The backup placement of \(V_o^s\) / The placement of \(V_o^s\) |
\(p_o^s(t)\) | If \(V_o^s\) is supported by backup |
\(\alpha _o^s(t)\) | The recovery procedure on \(V_o^s\) |