Publications

Data Envelopment Analysis

J. Hrdina, M. Trnovská, and M. Halická (2024): Path-based DEA models and a single-stage approach for finding an efficient benchmark. Proceedings Of The Conference Algoritmy 2024, 169 - 178. http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/2167/1038
M. Trnovská, M. Halická, J. Szolgayová, J. (2024): Path-based DEA models with directions defined using the anti-ideal point. Proceedings Of The Conference Algoritmy 2024, 159 - 168. http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/2166/1037
M. Trnovská, M. Halická (2024): Applying Path-Based Models to Negative Data with a Focus on Super-Efficiency. In: Emrouznejad, A., et al. (eds) Advances in the Theory and Applications of Performance Measurement and Management. DEA45 2023. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-61597-9_9.
M. Halická, M. Trnovská, and A. Černý: On indication, strict monotonicity, and efficiency of projections in a general class of path-based data envelopment analysis models." European Journal of Operational Research 320.1 (2025): 175-187
M. Halická, M. Trnovská, and A. Černý: A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis. European Journal of Operational Research 312.1 (2024): 298-314.
M. Halická, M. Trnovská, A. Černý: A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis, EJOR 3012, (2024), 298-314
M. Halická, M. Trnovská: A unified approach to non-radial graph models in data envelopment analysis: common features, geometry, and duality, EJOR 289 (2021), 611--627
M. Trnovská, M. Halická: Nonlinear data envelopment analysis models for technologies with undesirable outputs, Int. J. Decision Support Systems, Vol. 4, No. 2, 2019, 130-142
M. Halická, M. Trnovská: Duality and profit efficiency for the hyperbolic measure model, EJOR 278 (2019), 410--421
M. Halická, M. Trnovská: Negative features of hyperbolic and directional distance models for technologies with undesirable outputs, CEJOR 26 (2018), 887--907.
M. Halická, M. Trnovská: The Russell Measure Model: computational aspects, duality, and profit efficiency, EJOR 268 (2018), 386--397
D.Ševčovič , M. Halická and P. Brunovský : DEA analysis for a large structured bank branch network, CEJOR 9 (2001), 329-342. Downloadable as pdf or ps.gz file.

Interior-point methods

M. Trnovská, M. Halická : Limiting behavior and analyticity of the weighted central path in semidefinite programming., Optimization Methods & Software 25(2010), 247-262
M. Halická, E. de Klerk, C. Roos : Limiting behavior of the central path in semidefinite optimization, Optimization Methods and Software 20, (2005), 99-113 ps
M. Halická: Dvadsať rokov moderných metód vnútorného bodu (in Slovak language), Pokroky matematiky, fyziky a astronomie, 49 (2004), p 234-244. ps, pdf
M. Halická, E. de Klerk, C. Roos : On the convergence of the central path in semidefinite optimization, SIAM J. Opt. 12, (2002), 875-892 ps
M. Halická : Analyticity of the central path at the boundary point in semidefinite programming, EJOR 143 (2002) 311-324 ps, gziped ps
M. Halická : Two simple proofs of analyticity of the central path in linear programming,
Oper. Res. Lett. 28 : (1) 9-19 (2001)
M. Halická : Analytical properties of the central path at boundary point in linear programming, Mathematical Programming 84 (1999), 335-355
M. Halická , M. Hamala: Duality of transformation functions in the interior point methods, AMUC 65 (1996), No2, 229-243 - downloadable as gziped ps or pdf or dvi file
M.Hamala, M.Halická : Monotonicity of the Lagrangian function in the parametric interior point methods of convex programming, AMUC 61 (1992), No1, 41-55 - downloadable as gziped ps or pdf or dvi file

Control theory

P. Brunovský, M. Halická, M. Mitas: The deterministic optimal liquidation problem, Lecture Notes in Economics and Mathematical systems 687 (2018), 267--278, DOI: 10.1007/978-3-319-75169-6_13 In book: Control Systems and Mathematical Methods in Economics, Springer 2018
M. Halická, P. Jurča: On the sustainable growth in an economy with perfectly substituable exhaustible resources, Natural Resource Modeling 26 (2013), No 3, 403-434
M. Halická, P. Brunovský, P. Jurča: Optimálne riadenie. Viacetapové rozhodovacie procesy v ekonómii a financiách, EPOS, Bratislava, 2009, more information
M. Halická : Regular synthesis for the linear-convex optimal control problem with convex control constraints, Math. Slovaca 37 (1987), No1, 89-110
M. Halická : Regular synthesis for ther linear time optimal control problem with convex control constraints, SIAM J. Control and Opt. 27 (1989), No2, 308-329
M. Halická , D. Rosinová : Stability robustness bound estimates of discrete systems: Analysis and comparison, Int. J. Control 60 (1994), No2, 297-314
D. Rosinová , M.Halická : Decentralized stabilization of discrete-time systems: Subsystem robustness approach, 1st. IFAC Workshop on New trends in design of control systems, Smolenice 1994, 244-249
M. Halická , D. Rosinová : Comments on " Some robustness measures for a class of discrete-time systems, IMA Journal of Mathematical Control and Information 16 (1999) 309-313
M. Halická , D. Rosinová : Stability robustness of discrete-time systems with time delayed unstructured perturbation, Journal of Electrical Engineering 50 (1999) 386-391