The Heterogeneous Network is widely used in the Fifth Generation wireless network to solve the problem of increasing demand on wireless communication. Femtocell or called Home-evolved NodeB (HeNB) is one of the small cells nominated to be used in this generation. HeNB is a low-power, low-cost, and short coverage area base station randomly assigned by the user. Therefore, HeNB is used in Long Term Evolution (LTE/LTE-Advanced) to support Quality of Service next to conventional cell. Based on the short range and dense use of HeNB, the seamless handover procedure is one of the challenges HeNet system is facing. Though there are numerous present literature work for handover decision issues, this paper attempts to present handover management challenges and the outline of modern handover decision algorithms in between the evolved NodeB (eNB) and HeNB. Furthermore, comprehensive details of the handover procedure in LTE-A Heterogeneous Networks are presented. This survey categorizes the recent studies in decision algorithms for the two-tier network (eNB and HeNB) regarding the main decision technique. Finally, a comprehensive summary of input parameters, techniques, and performance evaluation for each handover decision scheme are discussed by providing the advantage and disadvantage of each category.