Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order by X. F. Hu, L. N. Wang

“…This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. …”
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Unranking Small Combinations of a Large Set in Co-Lexicographic Order by Vladimir Kruchinin, Yuriy Shablya, Dmitry Kruchinin, Victor Rulevskiy

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A novel competitive exact approach to solve assembly line balancing problems based on lexicographic order of vectors by Shifu Xu, Seyed Mahdi Shavarani, Mazyar Ghadiri Nejad, Bela Vizvari, Davood Toghraie

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On resolutions of linearly ordered spaces by Agata Caserta, Alfio Giarlotta, Stephen Watson

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A Compact Representation of Preferences in Multiple Criteria Optimization Problems by Francisco Salas-Molina, David Pla-Santamaria, Ana Garcia-Bernabeu, Javier Reig-Mullor

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Lexicographic Unranking of Combinations Revisited by Antoine Genitrini, Martin Pépin

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MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE by Allan Hanbury, Jean Serra

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The existence of a triangle when its three elements are known by Edmundas Mazėtis, Grigorijus Melničenko

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On the Meaning of Medical Evidence Hierarchies by Jesper Jerkert

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Fuzzy-Relation-Based Lexicographic Minimum Solution to the P2P Network System by Yanbo Ma, Xiaobin Yang, Bing-Yuan Cao

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On morphisms preserving infinite Lyndon words by Gwenael Richomme

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Representing Small Ordinals by Finite Automata by Zoltan Ésik

“…It is known that an ordinal is the order type of the lexicographic ordering of a regular language if and only if it is less than omega^omega. …”
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GROUP SO(4,2) AND SYMMETRY PROPERTIES OF D.I. MENDELEEV'S PERIODIC SYSTEM ELEMENTS by A. L. Gurskii, L. I. Hurski

“…The arrangement of energetic elements in periods according to the diagram of experimentally defined atomic electron shells is compared to energy levels of elements estimated from the Madelung-Klechkovsky lexicographic ordering rules. It is shown that for adequate description of the set of elements in the framework of approach based on the use of the group method, the changig the peculiarirties of the eigenvalues degeneration of the electron hamiltonian describing a hydrogen-like system is necessary. …”
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Lexicographic codebook design for OFDM with index modulation by Dang, S, Chen, G, Coon, J

“…The optimization process can be implemented efficiently by the lexicographic ordering principle. By applying the proposed codebook design, all subcarrier activation patterns with a fixed number of active subcarriers will be explored. …”

A STATE-SPACE ALGORITHM FOR THE SUPEROPTIMAL HANKEL-NORM APPROXIMATION PROBLEM by Halikias, G, Limebeer, D, Glover, K

“…Young [NATO ASI Series F34, Springer-Verlag, Berlin, New York, 1987] that given a stable matrix-valued function G0(s) and a nonnegative integer k, there exists a unique superoptimal approximation Φ(s) with no more than k poles in the left half plane that minimizes the sequence (s1 ∞(G0+Φ), s2 ∞(G0+Φ), ···), with respect to lexicographic ordering, where si ∞(G0+Φ): = sup$-ω/[si(G0+Φ)(jω)] and si(·) are the singular values in descending order of magnitude. …”

Learning and Applying Cooperative Solutions: A Classroom Experiment on Transportation Games by Nikolaos Georgantzis, Carlos Gutiérrez-Hita, Joaquín Sánchez-Soriano

“…Efficiency was achieved in the vast majority (82%) of cases, whereas in 34.8% of the agreements, students used a lexicographic ordering of multiple solutions before choosing among them. …”
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INVESTIGATION OF VULNERABILITIES AND LOSSES IN LOGISTICS OF DISTRIBUTED PRODUCTION by Олег Евгеньевич Федорович, Олег Александрович Гайденко, Вадим Алексеевич Пуйденко

“…In order to conduct the research, methods of expert evaluation, multi-criteria optimization, lexicographic ordering of variants and agent simulation are used…”
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USE OF COMPONENT-COMPETENT APPROACH FOR COOPERATION OF EXECUTERS OF INNOVATIVE ORDER DURING THE CREATION OF COMPLEX AEROSPACE TECHNIQUE by Олег Евгеньевич Федорович, Олег Александрович Гайденко, Вадим Алексеевич Пуйденко

“…Quantitative and qualitative expert assessments of competencies based on quantitative linear programming methods and lexicographic ordering of alternatives were used. The proposed approach is advisable to be used at the initial stages of the innovation project, when it is necessary to create the executors’ cooperation and, at the same time, to consider the fulfillment of the requirements for the competence on the customer side, that are based on the analysis of the component architecture of a complex article, in which both the components of past development and new, innovative components are highlighted…”
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SELECTION AND JUSTIFICATION OF ARCHITECTURE OF VIRTUAL PRODUCTION SYSTEM FOR PLANNED PORTFOLIO OF ORDERS by Ксения Олеговна Западня, Олег Александрович Гайденко, Вадим Алексеевич Пуйденко

“…A qualitative scale in the form of Latin alphabet was used to evaluate each enterprise in terms of key indicators and requirements of PPO. By lexicographic ordering of options in the PB, the most suitable enterprises are selected to make the VPS. …”
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DUAL EDUCATION AS A PROGRESSIVE FORM OF QUALITATIVE TRAINING OF EXPERT FOR INNOVATIVE AEROSPACE TECHNICAL PRODUCTION by Олег Євгенович Федорович, Юлія Олександрівна Лещенко, Ксенія Олегівна Западня

“…The costs related to dual training are being optimized. Lexicographic ordering of variants and integer optimization are used as mathematical models of research. …”
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