Abstract
This work demonstrates the application of ideas from the area of lattice path combinatorics to the analysis of a direct-access storage and retrieval scheme known as ‘linear probing’. The scheme pertains to a direct-access file which is used to store data records, identified by unique keys. A hashing scheme is used to assign a tentative storage location to an added data record. If the tentative physical record so selected is full, the file is scanned sequentially (in a cyclic manner) until an empty slot is found. The performance of the system is derived using lattice-path counting techniques. A computational procedure and a number of open problems are discussed.
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