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A multi-destination daily carpooling problem and an ant colony based resolution method

Yuhan Guo, Gilles Goncalves, Tienté Hsu (2013)

RAIRO - Operations Research - Recherche Opérationnelle

The rising car usage deriving from growth in jobs and residential population causes air pollution, energy waste and consumption of people’s time. Public transport cannot be the only answer to this increasing transport demand. Carpooling, which is based on the idea that sets of car owners pick up colleagues while driving to or from the workplace, has emerged to be a viable possibility for reducing private car usage in congested areas. Its actual practice requires a suitable information system support...

A multi-subpopulation bat optimization algorithm for economic dispatch problem with non-essential demand response

Yanjun Shen, Bo Yang, Xiongfeng Huang, Yujiao Zhang, Chao Tan (2019)

Kybernetika

In this paper, we propose a new economic dispatch model with random wind power, demand response and carbon tax. The specific feature of the demand response model is that the consumer's electricity demand is divided into two parts: necessary part and non-essential part. The part of the consumer's participation in the demand response is the non-essential part of the electricity consumption. The optimal dispatch objective is to obtain the minimum total cost (fuel cost, random wind power cost and emission...

A multivariable multiobjective predictive controller

Faten Ben Aicha, Faouzi Bouani, Mekki Ksouri (2013)

International Journal of Applied Mathematics and Computer Science

Predictive control of MIMO processes is a challenging problem which requires the specification of a large number of tuning parameters (the prediction horizon, the control horizon and the cost weighting factor). In this context, the present paper compares two strategies to design a supervisor of the Multivariable Generalized Predictive Controller (MGPC), based on multiobjective optimization. Thus, the purpose of this work is the automatic adjustment of the MGPC synthesis by simultaneously minimizing...

A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems

Danica Rosinová, Vojtech Veselý, Vladimír Kučera (2003)

Kybernetika

Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.

A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors

Masahiro Inuiguchi (2006)

Kybernetika

In this paper, a necessity measure optimization model of linear programming problems with fuzzy oblique vectors is discussed. It is shown that the problems are reduced to linear fractional programming problems. Utilizing a special structure of the reduced problem, we propose a solution algorithm based on Bender’s decomposition. A numerical example is given.

A new algorithm for optimal solution of fixed charge transportation problem

Nermin Kartli, Erkan Bostanci, Mehmet Serdar Guzel (2023)

Kybernetika

Fixed charge transportation problem (FCTP) is a supply chain problem. In this problem, in addition to the cost per unit for each transported product, a fixed cost is also required. The aim is to carry out the transportation process at the lowest possible cost. As with all supply chain problems, this problem may have one, two, or three stages. An algorithm that can find the optimal solution for the problem in polynomial time is not known, even if it is a single-stage problem. For this reason, new...

A new any-order schedule generation scheme for resource-constrained project scheduling

Cyril Briand (2009)

RAIRO - Operations Research

In this paper, a new schedule generation scheme for resource-constrained project scheduling problems is proposed. Given a project scheduling problem and a priority rule, a schedule generation scheme determines a single feasible solution by inserting one by one each activity, according to their priority, inside a partial schedule. The paper proposes a generation scheme that differs from the classic ones in the fact that it allows to consider the activities in any order, whether their predecessors...

A new barrier for a class of semidefinite problems

Erik A. Papa Quiroz, Paolo Roberto Oliveira (2006)

RAIRO - Operations Research

We introduce a new barrier function to solve a class of Semidefinite Optimization Problems (SOP) with bounded variables. That class is motivated by some (SOP) as the minimization of the sum of the first few eigenvalues of symmetric matrices and graph partitioning problems. We study the primal-dual central path defined by the new barrier and we show that this path is analytic, bounded and that all cluster points are optimal solutions of the primal-dual pair of problems. Then, using some ideas from semi-analytic...

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