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Core problems in bi-criteria 0,1-knapsack problems

Silva, Carlos Gomes da; Clí­maco, João; Figueira, José Rui

The most efficient algorithms for solving the single-criterion 0,1-knapsack problem are based on the core concept (i.e., based on a small number of relevant variables). But this concept is not used in problems with more than one criterion. The main purpose of this paper is to validate the existence of such a set of variables in bi-criteria 0-1-knapsack instances. Numerical experiments were performed on five typ...


Benchmarking in a multiple criteria performance context: An application and a c...

Augusto, Mário; Lisboa, João; Yasin, Mahmoud; Figueira, José Rui

This article presents a conceptual benchmarking framework which applies a multiple criteria approach to assess performance. In the process, a multiple criteria procedure is used to assess the performance of three hundred and ninety two (392) Portuguese firms. Based on the results of this procedure, a conceptual framework is devised to facilitate addressing relevant benchmarking implications. The framework is de...


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