activity
20232026
most citedOn Supportedness in Multi-Objective Combinatorial Optimization

2 citations · 2 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.OC2023

A Multi-objective Perspective on the Cable-Trench Problem

Lara Löhken, Michael Stiglmayr

The cable-trench problem is defined as a linear combination of the shortest path and the minimum spanning tree problem. In particular, the goal is to find a spanning tree that simu…

math.OC2023

Adaptive Improvements of Multi-Objective Branch and Bound

Julius Bauß, Sophie N. Parragh, Michael Stiglmayr

Branch and bound methods which are based on the principle "divide and conquer" are a well established solution approach in single-objective integer programming. In multi-objective…

cs.CC2023

Output-sensitive Complexity of Multi-Objective Integer Network Flow Problems

David Könen, Michael Stiglmayr

This paper addresses the output-sensitive complexity for linear multi-objective integer minimum cost flow (MOIMCF) problems and provides insights about the time complexity for enum…

math.OC2023

Adapting Branching and Queuing for Multi-objective Branch and Bound

Julius Bauß, Michael Stiglmayr

Branch and bound algorithms have to cope with several additional difficulties in the multi-objective case. Not only the bounding procedure is considerably weaker, but also the hand…

math.OC2023

An Output-Polynomial Time Algorithm to Determine all Supported Efficient Solutions for Multi-Objective Integer Network Flow Problems

David Könen, Michael Stiglmayr

This paper addresses the problem of enumerating all supported efficient solutions for a linear multi-objective integer minimum cost flow problem (MOIMCF). It derives an output-poly…

math.OC2023

Augmenting Bi-objective Branch and Bound by Scalarization-Based Information

Julius Bauß, Michael Stiglmayr

While Branch and Bound based algorithms are a standard approach to solve single-objective (mixed-)integer optimization problems, multi-objective Branch and Bound methods are only r…