COMBINATORIAL TECHNIQUE FOR OPTIMIZING THE COMBINATION

Chinnaraji Annamalai; Junzo  Watada; Said  Broumi; Vishnu Narayan  Mishra

doi:10.18540/jcecvl6iss2pp0189-0192

Authors

Chinnaraji Annamalai Indian Institute of Technology Kharagpur https://orcid.org/0000-0002-0992-2584
Junzo Watada Graduate School of Information, Production and Systems, Waseda University, 1-104 Totsukamachi, Shinjuku-ku, Tokyo, 69-8050 (JAPAN)
Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca (MOROCCO) https://orcid.org/0000-0002-1334-5759
Vishnu Narayan Mishra https://orcid.org/0000-0002-2159-7710

DOI:

https://doi.org/10.18540/jcecvl6iss2pp0189-0192

Keywords:

Optimized combination, combinatorics, counting technique, binomial coefficient

Abstract

This paper presents an innovative computing method and models for optimizing the combination defined in combinatorics. The optimized combination has been derived from the iterative computation of multiple geometric series and summability by specialized approach. The optimized combinatorial technique has applications in science, engineering and management. In this paper, several properties and consequences on the innovative optimized combination has been introduced that are useful for scientific researchers who are solving scientific problems and meeting today’s challenges.