An exact probability model for finite hash tables

The author presents an exact probability model for finite hash tables and applies the model to solve a few problems in the analysis of hashing techniques. The model enables exact computation of table sufficiency index, a parameter useful in the design of small hash tables. The author also presents an exact analysis of the expected length of the longest probe sequence in hashing with separate chaining, and successful search length in infinite uniform hashing giving explicit expressions. It appears that the model can be extended to analyze other hashing schemes such as bounded disorder index method, and to problems in robust data structures, etc.<
>