Three Persons Satisfactory Roommates Problem with Incomplete List

et al. N. Logapriya,

doi:10.52783/cana.v30.307

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Published: Jan 1, 2024

DOI: https://doi.org/10.52783/cana.v30.307

Keywords:

Incomplete list, preference value, satisfactory value matrix, perfect matching, three person rooms, modified satisfactory value matrix

N. Logapriya, T. Ramachandran

Abstract

The Satisfactory Roommates Problem (SFRP) is the problem of finding satisfactory matching between any pair of roommates. In the complete list (SFRP) each person in the set of even cardinality ranks the others in order of preference. In the incomplete list (SFRPI) there is some member in the group prefers less than members. There are people in this Three Persons Satisfactory Roommates Problem with incomplete list (TPSRPI), and each person has a preference list for their two companions. Some people have preferences that are fewer than . A set of triples is referred to as a matching. A new, complex algorithm for locating perfect triples in rooms is presented in this study.

Issue

Vol. 30 No. 4 (2023)

Section

Articles

Author Biography

N. Logapriya, T. Ramachandran

N. Logapriya¹ and T. Ramachandran²

¹Department of Mathematics, M.V Muthiah Government Arts College for Women, Dindigul, Tamil Nadu 624001

g-mail: logapriya848@gmail.com

²Department of Mathematics, M.V Muthiah Government Arts College for Women, Dindigul, Tamil Nadu 624001

g-mail: yasrams@gmail.com

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