Optimization using Hamiltonian cycle
Downloads
Abstract
Several researchers have worked on problem of optimization. There are fuzzy time minimization Assignment problem, which are form of transportation model. In this paper, the fuzzy time minimization assignment problem is formulated as weighted graph and optimization is achieved by reducing it to a Hamiltonian cycle.
Keywords:
Optimization, assignment problem, fuzzy number, weighted graph, HamiltonianMathematics Subject Classification:
Mathematics- Pages: 1204-1206
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
L. A. Zadeh, Fuzzy sets, Information and Control, $8(1965), 338-353$.
Hamdy A. Taha, Operations Research: An Introduction, 8th Ed., 2007.
H.J. Zimmerman, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, (1978), 45-55.
R. Nagarajan and A. Solairaju, A computing improved fuzzy optimal Hungarian assignment problem with fuzzy cost under Robust ranking technique, Int. Journal of Com puter Application, $6(4)(2010), 6-13$.
H. J. Zimmermann, Fuzzy Set Theory and its Applications, Third Ed., kluwer Academic, Boston, 1996.
Hadi Basirzadeh, Ones assignment method for solving assignment problems, Applied Mathematical Sciences, $6(47)(2012), 2345-2355$.
R.E. Bellman and L.A. Zadeh, Decision making in a fuzzy environment, Management Sci., 17(1970), 141-164.
D.S. Dinagar and K. Palanivel, The transportation problem in fuzzy environment, International Journal of Algorithms, Computing and Mathematics, (2009), 65-71.
Similar Articles
- P. Sumathi, J. Suresh Kumar, Fuzzy quotient-3 cordial labeling on some path related graphs - Paper I , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
