A method for removing cache blocks from a cache queue includes detecting a first cache miss for the cache queue, identifying, within the cache queue, a new cache block storing a value of a storage block, calculating an estimated cache miss cost for a storage container having the storage block, calculating a removal probability for the storage container based on a mathematical formula of the estimated cache miss cost, randomly selecting a probability number from a uniform distribution, where the removal probability exceeds the probability number, and evicting, in response to the removal probability exceeding the probability number, the new cache block from the cache queue.