Current and recent courses
Math 3050 Applied Discrete
Mathematics
Math 3200/5200 Applied
Linear Algebra
Math 4630/5630 Discrete
Modeling and Optimization
Math 4620/5620 Linear and
Nonlinear Optimization
Applications of Operations Research
Combinatorial Optimization
Mathematical Programming
Approximation Algorithms
Selected Publications
V. Melkonian
”An
Integer Programming Approach for Scheduling a Professional Sports League"
American
Journal of Computational Mathematics, Vol. 14(4), 401-423, 2024.
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.