نتایج جستجو برای: linear scalarization

تعداد نتایج: 482604  

Journal: :Math. Meth. of OR 2007
Radu Ioan Bot Sorin-Mihai Grad Gert Wanka

A general duality framework in convex multiobjective optimization is established using the scalarization with K-strongly increasing functions and the conjugate duality for composed convex cone-constrained optimization problems. Other scalarizations used in the literature arise as particular cases and the general duality is specialized for some of them, namely linear scalarization, maximum(-line...

2013
A. Nowé K. Van Moffaert M. M. Drugan

In multi-objective reinforcement learning (MORL) the agent is provided with multiple feedback signals when performing an action. These signals can be independent, complementary or conflicting. Hence, MORL is the process of learning policies that optimize multiple criteria simultaneously. In this abstract, we briefly describe our extensions to single-objective multi-armed bandits and reinforceme...

2013
Kristof Van Moffaert Madalina M. Drugan Ann Nowé

Indicator-based evolutionary algorithms are amongst the best performing methods for solving multi-objective optimization (MOO) problems. In reinforcement learning (RL), introducing a quality indicator in an algorithm’s decision logic was not attempted before. In this paper, we propose a novel on-line multi-objective reinforcement learning (MORL) algorithm that uses the hypervolume indicator as ...

2008
Radu Ioan Boţ Anca Grad Gert Wanka RADU IOAN BOŢ ANCA GRAD GERT WANKA

When characterizing optimal solutions of both scalar and vector optimization problems usually constraint qualifications have to be satisfied. By considering sequential characterizations, given for the first time in vector optimization in this paper, this drawback is eliminated. In order to establish them we give first of all sequential characterizations for a convex composed optimization proble...

2015
Refail Kasimbeyli Zehra Kamisli Ozturk Nergiz Kasimbeyli Gulcin Dinc Yalcin Banu Icmen

The paper presents main features of the conic scalarization method in multiobjective optimization. The conic scalarization method guarantee to generate all proper efficient solutions and does not require any kind of cenvexity or boundedness conditions. In addition the preference and reference point information of the decision maker is taken into consideretion by this method. Also in this paper,...

2018
Lei Wang Min Fang

In this paper, we consider the multiobjective linear programs where coefficients in the objective function belong to uncertainty sets. We introduce the concept of robust efficient solutions to uncertain multiobjective linear programming problems. By using two scalarization methods, the weighted sum method and the ϵ-constraint method, we obtain that the robust efficient solutions for uncertain m...

‎A common approach to determine efficient solutions of a multiple objective optimization problem‎ ‎is reformulating it to a parameter dependent scalar optimization problem‎. ‎This reformulation is called scalarization approach‎. Here, a well-known scalarization approach named Pascoletti-Serafini scalarization is considered‎. First, some difficulties of this scalarization are discussed and then ...

2009
Elisa Pagani Letizia Pellegrini

In this paper we consider a vector optimization problem; we present some scalarization techniques for finding all the vector optimal points of this problem and we discuss the relationships between these methods. Moreover, in the linear case, the study of dual variables is carried on by means of sensitivity analysis and also by a parametric approach. We also give an interpretation of the dual va...

Journal: :International Journal of Modern Physics D 2021

It is interesting to note that most black holes are born very slowly rotating. We investigate scalarization of rotating in the Einstein-scalar-Chern-Simons (EsCS) theory. In slow rotation approximation, CS term takes a linear form parameter $a$ which determines tachyonic instability. The instability for represents onset spontaneous scalarization. shown unstable against spherically symmetric sca...

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