Two-Stage Robust Network Flow and Design Under Demand Uncertainty

By Alper Atamtürk, Muhong Zhang. Operational Research, 2007

409 citations recorded by the source corpus.

Subfields: Management Information Systems, Management Science and Operations Research, Transportation

View Paper: https://www.semanticscholar.org/paper/0cac4b4b7106768b9bea5aad5553d7f90e9e9f96

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In Management Information Systems

In Management Science and Operations Research

In Transportation

Citations in the corpus

Optimization under Uncertainty in the Era of Big Data and Deep Learning: When Machine Learning Meets Mathematical Programming (2019, methodology): “This modeling framework cannot well represent sequential decision-making problems [94-96].”
Evacuation Transportation Planning Under Uncertainty: A Robust Optimization Approach (2009, methodology): “For applications of RO to the problems of transportation systems, refer to Ordonez and Zhao (2007), Atamturk and Zhang (2007), Mudchanatongsuk et al. (2008) and Erera et al. (2007) In the remaining of this paper, we will develop a deterministic linear programming (DLP) evacuation model in the line…”
Selected topics in robust convex optimization (2007, methodology): “Since then, the RO approach has been rapidly gaining popularity.Extensiveresearchonthesubjectintherecentyearswasaimedboth at developing the basic RO theory (see [10,14–17,19,23,24,26,40,44,32,61] and references therein) and at applications of the RO methodology in various areas, including, but not r”
Robust and Data-Driven Optimization: Modern Decision-Making Under Uncertainty (2006, background): “Two-stage robust optimization has also received attention in application areas such as network design and operation under demand uncertainty (Atamturk and Zhang [3]).”
A robust optimization approach for dynamic traffic signal control with emission considerations (2012, methodology): “Moreover, ηa is specified as a budget-like uncertainty set, which is similar to that proposed by Atamtürk and Zhang (2007):”
Robust Linear Optimization With Recourse (2009, background): “The model presented here is broader in scope than the network design problem considered in [1], in that we develop a robust approach for general two-stage stochastic linear problems with uncertainty on the right-hand side.”
Increasing Supply Chain Robustness through Process Flexibility and Inventory (2018, methodology): “, Fine and Freund 1990, Tomlin and Wang 2005), our model allows one to study arbitrary partial process flexibility designs in a multi-plant, multi-product system. This feature is motivated by the seminal work of Jordan and Graves (1995), who argue that fully flexible resources are often too expensiv”
Recent advances in robust optimization: An overview (2014, background): “Atamtürk and Zhang (2007) study the network flow and design problem under demand uncertainty from a complexity standpoint, with applications to lot-sizing and location-transportation problems.”
Theory and Applications of Robust Optimization (2010, background): “In Atamturk and Zhang [4], the authors consider two-stage robust network flow and design, where the demand vector is uncertain.”
Solving two-stage robust optimization problems using a column-and-constraint generation method (2013, background): “Applications include network/transportation problems [1] [15] [12], portfolio optimization [16], and power system scheduling problems [19] [14] [10].”