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

 

ardges Melkonian

 

 


Current and recent courses

Math 4620/5620 Linear and Nonlinear Optimization

Math 3050 Discrete Mathematics

            Math 4630/5630 Discrete Modeling and Optimization

            Math 3200/5200 Applied Linear Algebra

Math 306 Foundations of Mathematics I

            Math 263a Calculus I

Math 263b Calculus II           

Math 250 Probability and Statistics I

 


Research Interests

            Combinatorial Optimization

Mathematical Programming
Approximation Algorithms

Applications of Operations Research


 

Selected Publications

 

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.