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We consider multi‐objective shortest path problems in which the edge lengths are uncertain. Different concepts for finding so‐called robust efficient solutions for multi‐objective robust optimization exist. In this article, we consider multi‐scenario efficiency, flimsily and highly robust efficiency, and point‐based and set‐based minmax robust efficiency. Labeling algorithms are an important class...
The correct identification of the source of a propagation process is crucial in many research fields. As a specific application, we consider source estimation of delays in public transportation networks. We propose two approaches: an effective distance median and a backtracking method. The former is based on a structurally generic effective distance‐based approach for the identification of infectious...
We study variants of the vertex disjoint paths problem in plane graphs where paths have to be selected from given sets of paths. We investigate the problem as a decision, maximization, and routing‐in‐rounds problem. Although all considered variants are NP‐hard in planar graphs, restrictions on the locations of the terminals on the outer face of the given planar embedding of the graph lead to polynomially...
To model and solve optimization problems arising in public transportation, data about the passengers are necessary and have to be included in the models in any phase of the planning process. Many approaches assume a two‐step procedure: in a first step, the data about the passengers are distributed over the public transportation network (PTN) using traffic‐assignment procedures. In a second step, the...
Since multiple criteria characterise many practical decision problems, the research field of multicriteria decision analysis (MCDA) is flourishing. This paper compares the multi‐attribute decision making (MADM) methods, simple additive rating (SAR), simple additive weighting (SAW) as well as the outranking approach PROMETHEE and explains their similarities. We present a case study on industrial paint...
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