Linear Probing: The Probable Largest Search Time Grows Logarithmically with the Number of Records

نویسنده

  • Boris Pittel
چکیده

The worst-case performance of a linear probing algorithm is studied under assumption that each of m locations can contain at most one record. It is shown that the length of the longest sequence of probes needed to insert (locate) a record grows, in probability, as c-‘log m if m and n. the total number of records, approach 03 in such a way that the load factor a = n/m is bounded away from 0 and 1, here c = a 1 log a. The argument is based on the study of the size distribution of the longest block of occupied locations. I” 1987 Academic Press. I~C

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عنوان ژورنال:
  • J. Algorithms

دوره 8  شماره 

صفحات  -

تاریخ انتشار 1987