The Orthogonal Frequency Division Multiplexing Access (OFDMA) and

macro-femto two-tier heterogrneous network are the core technologies used

in 4G and 5G cellular networks. These pose new challanges and optimization

potential for network resource allocation with consideration of fairness as well

as for user equiptment (UE) handoff with consideration of resource allocation.

This thesis studies both problems, and analyses the inherent difficulties in

the problem domain. Then several optimization algorithms are proposed to

solve the problem. An optimization framework is proposed to integrate the

algorithms together.