An oven has a housing, a heat source, and an aperture defined in the housing. A substantially horizontal deck rotates within the housing, and a number of substantially horizontal pallets are mounted on the deck to rotate relative to the deck. Each pallet has a lip. A source of motive power and a transmission system drive the main deck to revolve within the housing, and also drive the pallets to rotate relative to the main deck. The transmission system constrains rotational movement of the pallets relative to the main deck and causes each pallet to be oriented with its stopping member positioned opposite the aperture whenever that pallet is aligned with the aperture. The oven has a control system that monitors the length of time that an item remains in the oven, permitting items having different cooking times to be cooked simultaneously, even when introduced in a random order.