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Cell i serves a total number of U i users.
(1 where c i is the state of cell i.
Therefore cell i uses exactly one sub-band at optimum.
Using them, cell i acquires the rate CDF of user k for cell i ′ and sends it to cell i ′ using inter-cell interface such as the X2 interface in LTE [15].
We depict unmodified cost according to three types of traffic condition: (1) cell i is uncongested; (2) cell i is congested, and cell j is uncongested; (3) cell i and cell j are congested.
Also, the CRE bias satisfies that Γ i >1 if cell i is a small cell and Γ i =1 if cell i is a macro-cell.
After all the users in cell i find ({i_{k}^{ast }}), cell i chooses the user that achieves the largest improvement in (Delta _{i,i_{k}^{ast }}^{k}).
To achieve this, user k estimates the transmission rate on PRB b using the pilot signal from its associated cell i and sends it to cell i.
On the other hand, to calculate (Phi _{i^{prime },k}) in (37), first user k measures the downlink rates from cell i ′ and sends them to cell i.
Using the received rate CDF, cell i ′ calculates (Phi _{i^{prime },k}) and sends it to cell i as well as (sum _{k'in {mathcal {U}}_{i'}}gamma _{k'}).
Equivalently, user k § 's association variable corresponding to cell i is updated as follows.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com