Abstract: The k integer-merging problem is to merge the k sorted arrays into a new sorted array that contains all elements of Ai,∀ i. We propose a new parallel algorithm based on exclusive read exclusive write shared memory. The algorithm runs in O(log n) time using n/log n processors. The algorithm performs linear work, O(n), and has optimal cost. Furthermore, the total work done by the algorithm is less than the best-known previous parallel algorithms for k merging problem.

Ahmed Y Khedr and Ibrahim M Alseadoon, “k-Integer-Merging on Shared Memory” International Journal of Advanced Computer Science and Applications(IJACSA), 12(1), 2021. http://dx.doi.org/10.14569/IJACSA.2021.0120179

@article{Khedr2021,
title = {k-Integer-Merging on Shared Memory},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2021.0120179},
url = {http://dx.doi.org/10.14569/IJACSA.2021.0120179},
year = {2021},
publisher = {The Science and Information Organization},
volume = {12},
number = {1},
author = {Ahmed Y Khedr and Ibrahim M Alseadoon}
}