Probability distributions for seek time evaluation

In this work, two known probability distributions based on the replacement model, namely, the Maxwell-Boltzmann and Bose-Einstein ones, are examined. Each of these distributions is assigned to a specific case of query processing, which is known in the literature as batching on primary key values or secondary key retrieval, respectively. These distributions are applied in evaluating the expected distance traveled by the read/write heads in disk searching. Two new probability distributions are derived, based on the previous ones, which are involved in the evaluation of the expected number of the cylinder hits. Therefore, seek time evaluation is faced globally. Numerical results are given.