This document contains mathematical formulas and symbols. It appears to describe algorithms or processes involving candidate selection based on budget and processing time comparisons using variables like theta, beta, eta and chi. Key aspects involve migration time (Tmigration), budget (Tbudget), processing time for a candidate (Tproc candidate) and current (Tproc current). Comparisons and thresholds are represented through inequality signs.

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𝜃 =
𝑇𝑚𝑖𝑔𝑟𝑎𝑡𝑖𝑜𝑛
𝑐𝑎𝑛𝑑𝑖𝑑𝑎𝑡𝑒
𝑇𝑏𝑢𝑑𝑔𝑒𝑡
𝛽 =
𝑇𝑝𝑟𝑜𝑐
𝑐𝑎𝑛𝑑𝑖𝑑𝑎𝑡𝑒
𝑇𝑝𝑟𝑜𝑐
𝑐𝑢𝑟𝑟𝑒𝑛𝑡

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❖ 0 ≤ 𝜂 ≤ 1
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