If you.are putting weeds and grass clippings in, and they are moist (not bone dry), they should start rotting almost immediately.
If you want to speed things up, add some granular fertilizer, maybe a half pound or less, to your dalek. If you think the compost seems dry, sprinkle with some water, you want moist but not soggy. The fertilizer and water will warm up your compost and speed decomposition.