The director of operations generally has more work possibilities than an executive vice president. However, the executive vice president generally has more power and responsibility than a chief operating officer. That's why an executive vice president is higher than a COO. No, an operations director is no higher than the vice president because they tend to hold the same type of position.
Basically, there's no difference between the chief operating officer and the vice president of operations. The difference in names usually varies depending on the location of the company, the way it is organized and the sector to which it belongs. The COO (executive director) is also known as executive vice president of operations, director of operations and director of operations. An operations director falls into the category of “C” positions (CEO, COO, CIO, CFO), positions that sometimes overlap with those of president and vice presidents.
While vice-presidents run their departments, chief operating officers generally have responsibilities that span the entire company, including the position of chief of staff to an executive director.