Final answer:
The FRONT operation in a queue implemented by doubly linked cells has a worst-case time complexity of O(1) because it involves direct access to the front element without traversing the list.
Step-by-step explanation:
The operation to observe the front of a queue implemented by doubly linked cells is known as the FRONT operation. Due to the nature of doubly linked lists, accessing the front element does not require traversing the entire list; instead, it can be achieved directly. Thus, the worst-case time complexity of the FRONT operation in a queue implemented by doubly linked cells with N elements is O(1).