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Rankings revisited

100%
Kaliszewski I.
Decyzje
|
2018
|
issue 30
EN
We argue that rankings, as they are commonly used, can be, and perhaps are, misleading and potentially harmful.With little extra effort, however, one can gain much more insight into relations among the objects ranked and, in the consequence, gain a better understanding of the ranking. The fundamental notion used to compare and evaluate rankings in our analysis is that of Pareto optymality. General claims are illustrated with the ranking of Polish universities published by Perspektywy monthly in 2016.This note is based on results that are well known in the areas of multiobjective optimization and multiple-criteria decision analysis. The objective of the note is to point to the shortcomings and potential pitfalls behind the common use and understanding of rankings.
2
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On non-Pareto efficiency

100%
Kaliszewski I.
Operations Research and Decisions
|
2024
|
vol. 34
|
issue 4
81-88
EN
We investigate assessment functions, i.e., functions that aggregate numerical attribute values into single numbers. All assessment functions in the current use share the same limitation: they do not explicitly account for the attribute values balance. Here, we present assessment functions that provide for that. However, those functions are at odds with the well-established paradigm of Pareto efficiency. As an example, the relevance of assessment functions to rankings is discussed.
3
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Evolutionary Multiobjective Optimization for Intensity Modulated Radiation Therapy

63%
Kaliszewski I., Miroforidis J.
Multiple Criteria Decision Making
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2015
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vol. 10
82-92
EN
As cancer diseases take nowadays a heavy toll on societies worldwide, extensive research is being conducted to provide more accurate diagnoses and more effective treatments. In particular, Multiobjective Optimization has turned out to be an appropriate and efficient framework for timely and accurate radiotherapy planning. In the paper, we sketch briefly the background of Multiobjective Optimization research to Intensity Modulated Radiation Therapy, and next we present a rudimentary formulation of the problem. We also present a generic methodology we developed for Multiple Criteria Decision Making, and we present preliminary results with it when applied to radiation treatment planning.
4
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Decision Maker's Preferences, Airport Gate Assignment Problem and Multiobjective Optimisation

51%
Kaliszewski I., Miroforidis J., Stańczak J.
Multiple Criteria Decision Making
|
2013
|
vol. 8
84-100
EN
We present an application of a methodology we developed earlier to capture a decision maker's preferences in multiobjective environments to a notorious problem in the realm of Air Traffic Management, namely the Airport Gate Assignment Problem. The problem has been modelled as an all-integer optimisation problem with two criteria. We have implemented this methodology into the commercial solver CPLEX and also into an Evolutionary Multiobjective Optimisation algorithm and we have solved with them a numerical instance of the Airport Gate Assignment Problem for a couple of decision making scenarios.
5
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Approximate solutions to the multiple-choice knapsack problem by multiobjectivization and Chebyshev scalarization

51%
Bednarczuk E. M., Kaliszewski I., Miroforidis J.
Operations Research and Decisions
|
2024
|
vol. 34
|
issue 4
53-66
EN
The method BISSA, proposed by Bednarczuk, Miroforidis, and Pyzel, provides approximate solutions to the multiple-choice knapsack problem. To fathom the optimality gap that is left by BISSA, we present a method that starts from the BISSA solution and it is able to provide a better approximation and in consequence a tighter optimality gap. Like BISSA, the new method is based on the multiobjectivization of the multiple-choice knapsack problem but instead of the linear scalarization used in BISSA, it makes use of the Chebyshev scalarization. We validate the new method on the same set of problems as the one used to validate BISSA.
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