Are there any advantages of social stratification?

Most societies have some form of stratification. A few societies are egalitarian, meaning that they strongly emphasize the equal status of all members and employ “leveling mechanisms” to prevent people from trying to gain superiority over others. This system tends to work only in small groups. A stratum is a layer or level, so stratification refers to the arrangement of the levels. Economic and political stratification are intertwined with social stratification.
The most important advantage of stratification is that it facilitates social organization and governance. Within the social group, having one or more acknowledged leaders leads to greater efficiency in decision-making, in contrast to egalitarian systems that rely on achieving consensus among the entire group. Without some orderly arrangement of positions, anarchy or chaos might ensue, ultimately leading to violent conflict within the group.
Another advantage is that the group’s members have clear expectations of appropriate behavior. This is especially true in a “closed” stratified society, in which people gain their positions by birthright or family connections. In an “open” system, in contrast, statuses are achieved; while clear divisions exist, anyone could, in theory, take the required steps to move up the levels. In reality, however, individuals have unequal opportunities to gain status, and people of high status are protected (through social support, inheritance, etc.) from losing it, so it is common for generations to maintain their status.

Whether or not there are any advantages to social stratification really depends on who you are and where you fall in that system. By its very nature, social stratification limits access to power, prestige, and privilege by systemically oppressing and exploiting particular groups of people. Though complex societies rely on the differentiation of labor, there does not necessarily need to be a differential distribution of wealth based on irrelevant characteristics like race, gender, ethnicity, bodily ability, religion, health status, or socioeconomic background. 
I would say that there are advantages to social stratification for those who fall into the preferential categories and higher ranks of stratification. Though there may exist advantages in access to power, prestige, and privilege, they are not justified in a system of social stratification. Where there are systemic advantages, there are also disadvantages. For example, in the United States, there persists a racial and ethnically based system of social stratification which gives preferential access to health, wealth, and education to white people, while placing People of Color in a cycle of poverty. For every one white person who does well in the United States, there is a handful of People of Color who have been denied the opportunity and resources for achievement.