Vardges Melkonian
Associate
Professor
Contact Information
- Department
of Mathematics
Ohio University
Athens, OH 45701 - E-mail: melkonia@ohio.edu
- Office: 543 Morton Hall
- Phone: (740) 593-1276
Current and recent courses
Math 3050 Applied Discrete Mathematics
Math 4620/5620 Linear and Nonlinear Optimization
Math 3200/5200 Applied Linear Algebra
Math 4630/5630 Discrete Modeling and Optimization
Research Interests
Applications of Operations Research
Combinatorial Optimization
Mathematical Programming
Approximation Algorithms
Selected Publications
V. Melkonian
”Optimization
Models for Hybrid Work Scheduling"
American
Journal of Operations Research,
Vol. 13(6), 147-176, 2023.
V. Melkonian
”Fair
Scheduling Models for Doubles Group Competitions"
American
Journal of Operations Research,
Vol. 11(6), 338-356, 2021.
V. Melkonian
”Mathematical
Models for a Social Partitioning Problem"
American
Journal of Computational Mathematics,
Vol. 11(1), 1-22, 2021.
V. Melkonian
”An Optimization Model
for Exercise Scheduling"
American
Journal of Operations Research,
Vol. 9(1), 1-14, 2019.
V. Melkonian
”On
Binary Representation of Integers"
Problems,
Resources, and Issues in Mathematics Undergraduate Studies
, Vol. 29(5),
474-486, 2019.
V. Melkonian
”An
Integer Programming Model for the KenKen Problem"
American
Journal of Operations Research,
Vol. 6(3), 213-225, 2016.
V. Melkonian
”The
Paired Assignment Problem "
Open
Journal of Discrete Mathematics,
Vol. 4(2), 44-54, 2014.
V. Melkonian
”Circuit
Integration through Lattice Hyperterms
"
Discrete
Mathematics, Algorithms and Applications,
Vol. 3(1), 101-119, 2011.
V. Lskavyan
and V. Melkonian
“A
Computational Model of Politicians–Bureaucracy Relationship in a Competitively
Authoritarian Environment”
Int.
J. Computational Economics and Econometrics,
Vol. 2(1), 1-23, 2011.
V. Melkonian
”LP-based Solution
Methods for Asymmetric TSP "
Information
Processing Letters,
Vol. 101(6), 233-238, 2007.
V. Melkonian
"New
Primal-Dual Algorithms for Steiner Tree Problems"
Computers
and Operations Research,
Vol. 34(7), 2147-2167, 2007.
V. Melkonian
"
Flows in Dynamic Networks with
Aggregate Arc Capacities "
Information
Processing Letters,
Vol. 101(1), 30-35, 2007.
V. Melkonian and E .
Tardos
.
"Primal-Dual-Based
Algorithms for a Directed Network Design Problem"
INFORMS
Journal on Computing,
Vol. 17(2), 159-174, 2005.
R. Roundy, D. Chen, P. Chen, M. Cakanyildirim
,
M.B. Freimer
, V. Melkonian.
"Capacity-Driven
Acceptance of Customer Orders for a Multi-Stage Batch Manufacturing
System: Models and Algorithms"
IIE Transactions on Scheduling and Logisitics
,
Vol. 37(12), 1093-1105, 2005.
V. Melkonian and E .
Tardos
.
"Algorithms
for a Network Design Problem with Crossing Supermodular
Demands"
Networks
, Vol. 43(4), 256-265, 2004.