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Fig 1.

Illustration of a four-tier HetNet with different backhaul links.

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Fig 1 Expand

Fig 2.

Relationships among cell association, interference avoidance, and load balancing.

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Table 1.

Characteristics of the related research on user association, load balancing (LB), and inter-cell resource allocation.

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Table 1 Expand

Fig 3.

Result of the objective function for four problem answers for different numbers of subbands.

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Fig 4.

Time duration for obtaining answers to the four methods in different numbers of subbands.

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Fig 5.

Network utility for different desirability functions.

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Fig 6.

Network utility and algorithm runtime for different selection list size.

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Fig 7.

Network utility by changing the backhaul capacity of the BSs.

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Fig 8.

The number of connections by changing the backhaul capacity of BSs.

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Fig 9.

Connection probability by changing the number of users in different distributions.

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Fig 10.

Average number of user connections for each BS in each tier.

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Fig 11.

Network utility by changing the number of users.

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Fig 12.

Network utility by changing the number of subbands of each BS.

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Fig 13.

Aggregate throughput by changing the number of users.

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Fig 14.

Jain’s fairness for load factor by changing the number of users.

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