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Operations Research, Systems Engineering and Industrial Engineering Commons

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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering

The Multiobjective Average Network Flow Problem: Formulations, Algorithms, Heuristics, And Complexity, Jeremy D. Jordan Sep 2012

The Multiobjective Average Network Flow Problem: Formulations, Algorithms, Heuristics, And Complexity, Jeremy D. Jordan

Theses and Dissertations

Integrating value focused thinking with the shortest path problem results in a unique formulation called the multiobjective average shortest path problem. We prove this is NP-complete for general graphs. For directed acyclic graphs, an efficient algorithm and even faster heuristic are proposed. While the worst case error of the heuristic is proven unbounded, its average performance on random graphs is within 3% of the optimal solution. Additionally, a special case of the more general biobjective average shortest path problem is given, allowing tradeoffs between decreases in arc set cardinality and increases in multiobjective value; the algorithm to solve the average …


An Alternative Characterization Of Robust Stability And Stability Radius For Linear Time Delay Systems, Bahram Shafai, Hanai Sadaka, Rifat Sipahi, Jie Chen Apr 2012

An Alternative Characterization Of Robust Stability And Stability Radius For Linear Time Delay Systems, Bahram Shafai, Hanai Sadaka, Rifat Sipahi, Jie Chen

Bahram Shafai

No abstract provided.


Minimization Of Costs In Interconnected Supply Networks With Transportation And Decision-Making Delays, Ilker I. Delice, Rifat Sipahi, Tucker J. Marion Apr 2012

Minimization Of Costs In Interconnected Supply Networks With Transportation And Decision-Making Delays, Ilker I. Delice, Rifat Sipahi, Tucker J. Marion

Tucker Marion

No abstract provided.