5 papers
Decision-Theoretic Approaches for Improved Learning-Augmented Algorithms
Spyros Angelopoulos, Christoph Dürr, Georgii Melidi
We initiate the systematic study of decision-theoretic metrics in the design and analysis of algorithms with machine-learned predictions. We introduce approaches based on both dete…
Scenario-Based Robust Optimization of Tree Structures
Spyros Angelopoulos, Christoph Dürr, Alex Elenter +1
We initiate the study of tree structures in the context of scenario-based robust optimization. Specifically, we study Binary Search Trees (BSTs) and Huffman coding, two fundamental…
A approximation for big two-bar charts packing problem
Adil Erzin, Alexander Kononov, Georgii Melidi +1
Two-Bar Charts Packing Problem is to pack two-bar charts (2-BCs) in a minimal number of unit-capacity bins. This problem generalizes the strongly NP-hard Bin Packing Problem. W…
Approximation Algorithms for Two-Bar Charts Packing Problem
Adil Erzin, Georgii Melidi, Stepan Nazarenko +1
In the Two-Bar Charts Packing Problem (2-BCPP), it is required to pack the bar charts (BCs) consisting of two bars into the horizontal unit-height strip of minimal length. The bars…
A 3/2--approximation for big two-bar charts packing
Adil Erzin, Stepan Nazarenko, Gregory Melidi +1
We consider a Two-Bar Charts Packing Problem (2-BCPP), in which it is necessary to pack two-bar charts (2-BCs) in a unit-height strip of minimum length. The problem is a generaliza…