Maja Ahac
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Maja Ahac has a total of 33 co-authors. Here are the top co-authors by number of shared publications:
- Saša Ahac
Department of Transportation Engineering, Faculty of Civil Engineering, University of Zagreb, Fra Andrije Kačića-Miošića 26, 10000 Zagreb, Croatia
12 shared publications - Igor Majstorović
University of Zagreb Faculty of Civil Engineering
6 shared publications Stjepan Lakušić
5 shared publications- Stjepan Lakušić
Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia
4 shared publications - Vesna Dragčević
Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia
4 shared publications - Silvio Bašić
Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia
3 shared publications
Latest Publications
- Open Access
- 16 April 2026
- Published by MDPI AG in Urban Science
- Vol. 10 (4) , 215
Unconventional Roundabouts: Third-Generation Insights from the United States and Europe
This paper presents a comparative analysis of unconventional roundabouts, commonly referred to as third-generation roundabouts, based on case studies from the United States and Europe, specifically Croatia and Italy. These intersection designs deviate from traditional circular geometries to overcome limitations in safety, capacity, and spatial integration, especially in constrained or high-demand environments. The study focuses on three major typologies: raindrop, turbo, and two-geometry roundabouts (TGRs), examining their geometric characteristics, operational principles, and context-specific implementations. Based on real-world examples and qualitative assessments, each national section investigates design rationale and performance considerations in relation to local traffic dynamics. The paper contributes to the understanding of adaptive and context-sensitive intersection design, offering a conceptual framework for comparing unconventional roundabout typologies across different regulatory environments. The comparative analysis reveals that each typology responds to specific operational and spatial constraints rather than representing a universally optimal solution. In particular, raindrop and dog-bone roundabouts are most effective in interchange contexts, turbo roundabouts enhance safety and capacity in regulated multilane environments, while TGRs provide greater adaptability in constrained and irregular urban settings. These findings highlight the importance of context-dependent design strategies and support the need for flexible and context-sensitive evaluation frameworks.
- 16 April 2026
- Published by MDPI AG in Urban Science
- Vol. 10 (4) , 215
Open AccessUnconventional Roundabouts: Third-Generation Insights from the United States and Europe
This paper presents a comparative analysis of unconventional roundabouts, commonly referred to as third-generation roundabouts, based on case studies from the United States and Europe, specifically Croatia and Italy. These intersection designs deviate from traditional circular geometries to overcome limitations in safety, capacity, and spatial integration, especially in constrained or high-demand environments. The study focuses on three major typologies: raindrop, turbo, and two-geometry roundabouts (TGRs), examining their geometric characteristics, operational principles, and context-specific implementations. Based on real-world examples and qualitative assessments, each national section investigates design rationale and performance considerations in relation to local traffic dynamics. The paper contributes to the understanding of adaptive and context-sensitive intersection design, offering a conceptual framework for comparing unconventional roundabout typologies across different regulatory environments. The comparative analysis reveals that each typology responds to specific operational and spatial constraints rather than representing a universally optimal solution. In particular, raindrop and dog-bone roundabouts are most effective in interchange contexts, turbo roundabouts enhance safety and capacity in regulated multilane environments, while TGRs provide greater adaptability in constrained and irregular urban settings. These findings highlight the importance of context-dependent design strategies and support the need for flexible and context-sensitive evaluation frameworks.
- 21 December 2024
- Published by Springer Nature
- p. 135-147
Infrastructure in Post-industrial Urban Landscapes
- 21 December 2024
- Published by Springer Nature
- p. 135-147
Infrastructure in Post-industrial Urban Landscapes
- 18 September 2024
- Published by Springer Nature
- p. 279-288
Effect of Tram Floor Height on Passenger Boarding and Alighting Time
- 18 September 2024
- Published by Springer Nature
- p. 279-288
Effect of Tram Floor Height on Passenger Boarding and Alighting Time
- 10 August 2024
- Published by Springer Nature
- p. 239-249
Revitalization, Development, and Integration of Rail System in Urban Areas: Zadar Urban Area Case Study
- 10 August 2024
- Published by Springer Nature
- p. 239-249
Revitalization, Development, and Integration of Rail System in Urban Areas: Zadar Urban Area Case Study
- Open Access
- 13 February 2024
- Published by MDPI AG in Infrastructures
- Vol. 9 (2) , 32
Contribution to Rail System Revitalization, Development, and Integration Projects Evaluation: A Case Study of the Zadar Urban Area
This paper aims to contribute to the process of evaluating urban rail infrastructure projects through the presentation of the methodology and the results of a preliminary feasibility study concerning the revitalization, development, and (re)integration of the rail with road, maritime, and air transportation in the Zadar urban area. The analysis included the identification and evaluation of rail infrastructure alignment variants that would ensure the revitalization of the existing railway infrastructure, relocation of freight rail traffic from the narrow and densely developed suburban coastal area, promotion of intermodal passenger and freight transportation, improvement of urban and regional accessibility and connectivity, increase of traffic safety, reduction of travel time and operating costs, and decrease of traffic impacts on the environment. By consulting legal frameworks, spatial planning documentation, and analyzing the socio-economic context and existing transportation infrastructure function, six variants for the (re)development of the rail infrastructure were designed. As their design approached the area’s transportation issues from different angles and could contribute differently to the area’s economic, social, and territorial issues, a multi-criteria analysis supplemented with a partial cost–benefit analysis was conducted to select the most suitable variant. The evaluation was based on seven weighted criteria quantified by the normalization of 32 indicator values, scored from 1 to 5, where a score of 5 was considered the highest. Weighting the scores according to the ratios determined through a consultation process with stakeholders resulted in ranking the best variant with a total score of 3.7 and the worst one with a total score of 2.6. To avoid potential objections that the set of criteria weights used was subjective and the result biased, a sensitivity analysis was carried out by systematically varying the weights among criteria. The results showed that the best-ranked variant was also the least sensitive to applied weight shifts, with a score range of 0.2.
- 13 February 2024
- Published by MDPI AG in Infrastructures
- Vol. 9 (2) , 32
Open AccessContribution to Rail System Revitalization, Development, and Integration Projects Evaluation: A Case Study of the Zadar Urban Area
This paper aims to contribute to the process of evaluating urban rail infrastructure projects through the presentation of the methodology and the results of a preliminary feasibility study concerning the revitalization, development, and (re)integration of the rail with road, maritime, and air transportation in the Zadar urban area. The analysis included the identification and evaluation of rail infrastructure alignment variants that would ensure the revitalization of the existing railway infrastructure, relocation of freight rail traffic from the narrow and densely developed suburban coastal area, promotion of intermodal passenger and freight transportation, improvement of urban and regional accessibility and connectivity, increase of traffic safety, reduction of travel time and operating costs, and decrease of traffic impacts on the environment. By consulting legal frameworks, spatial planning documentation, and analyzing the socio-economic context and existing transportation infrastructure function, six variants for the (re)development of the rail infrastructure were designed. As their design approached the area’s transportation issues from different angles and could contribute differently to the area’s economic, social, and territorial issues, a multi-criteria analysis supplemented with a partial cost–benefit analysis was conducted to select the most suitable variant. The evaluation was based on seven weighted criteria quantified by the normalization of 32 indicator values, scored from 1 to 5, where a score of 5 was considered the highest. Weighting the scores according to the ratios determined through a consultation process with stakeholders resulted in ranking the best variant with a total score of 3.7 and the worst one with a total score of 2.6. To avoid potential objections that the set of criteria weights used was subjective and the result biased, a sensitivity analysis was carried out by systematically varying the weights among criteria. The results showed that the best-ranked variant was also the least sensitive to applied weight shifts, with a score range of 0.2.
- Open Access
- 29 October 2023
- Published by MDPI AG in Applied Sciences
- Vol. 13 (21) , 11816
Speed Reduction Capabilities of Two-Geometry Roundabouts
Several types of modern roundabouts are alternatives to standard ones. They are either in use or at the development stage today. One such intersection is the two-geometry roundabout. Its circulatory roadway has an elliptical outer edge and a circular inner edge that is defined by a circular central island resulting in variable circulatory roadway width. The investigation presented in this paper aims to determine the influence of this variable width on the design of other geometric elements and its impact on roundabouts’ speed reduction capabilities. There is not enough experimental data collected to make a comparison to other roundabout types, so this investigation is based on computer simulations and speed estimations. The investigation is conducted on 40 four-legged single-lane roundabout schemes. These were designed in the Autodesk AutoCAD 2021 software through computer simulations of vehicle movement and the resulting swept paths of a tractor with a semi-trailer generated by the Autodesk Vehicle Tracking 2020 software. The results show that truck aprons must be included in the design of two-geometry roundabouts with a major axis between 18 and 25 m to achieve appropriate circulatory roadway widths, personal car path deflection, and the resulting relative speed and speed consistency.
- 29 October 2023
- Published by MDPI AG in Applied Sciences
- Vol. 13 (21) , 11816
Open AccessSpeed Reduction Capabilities of Two-Geometry Roundabouts
Several types of modern roundabouts are alternatives to standard ones. They are either in use or at the development stage today. One such intersection is the two-geometry roundabout. Its circulatory roadway has an elliptical outer edge and a circular inner edge that is defined by a circular central island resulting in variable circulatory roadway width. The investigation presented in this paper aims to determine the influence of this variable width on the design of other geometric elements and its impact on roundabouts’ speed reduction capabilities. There is not enough experimental data collected to make a comparison to other roundabout types, so this investigation is based on computer simulations and speed estimations. The investigation is conducted on 40 four-legged single-lane roundabout schemes. These were designed in the Autodesk AutoCAD 2021 software through computer simulations of vehicle movement and the resulting swept paths of a tractor with a semi-trailer generated by the Autodesk Vehicle Tracking 2020 software. The results show that truck aprons must be included in the design of two-geometry roundabouts with a major axis between 18 and 25 m to achieve appropriate circulatory roadway widths, personal car path deflection, and the resulting relative speed and speed consistency.
- Open Access
Parametric Study of Additional Temperature Stresses in Continuously Welded Rails on Steel Truss Railway Bridges
Additional temperature stresses in continuously welded rails (CWRs) are caused by track/bridge interaction (TBI) due to thermal actions. Exceeding permissible stresses in CWRs on the bridge can lead to track buckling or rail cracking, compromising the safety of railway traffic. The main aim of the conducted study is to determine the effects of the key parameters such as rail cross-sectional area, track longitudinal resistance, bridge expansion length, and longitudinal stiffness of the fixed bridge support on the reduction of additional temperature stresses in CWRs on steel truss railway bridges. To quantify the effects of these parameters, two steel railway bridges with CWRs and the maximum expansion lengths according to UIC Code 774-3 were analyzed: (1) simply supported truss bridge with expansion length of 60 m and (2) continuous truss bridge with expansion lengths of 2 × 60 m. According to the obtained results, the track longitudinal resistance had the most significant impact on additional temperature stresses in CWRs, leading to their reduction of up to 72%. The bridge expansion length and the rail cross-sectional area led to reductions of up to 25% and up to 18%, respectively. Considering the deformation criteria of TBI, the longitudinal stiffness of the fixed bridge support had a minor effect on the reduction of additional temperature stresses in CWRs.
Open AccessParametric Study of Additional Temperature Stresses in Continuously Welded Rails on Steel Truss Railway Bridges
Additional temperature stresses in continuously welded rails (CWRs) are caused by track/bridge interaction (TBI) due to thermal actions. Exceeding permissible stresses in CWRs on the bridge can lead to track buckling or rail cracking, compromising the safety of railway traffic. The main aim of the conducted study is to determine the effects of the key parameters such as rail cross-sectional area, track longitudinal resistance, bridge expansion length, and longitudinal stiffness of the fixed bridge support on the reduction of additional temperature stresses in CWRs on steel truss railway bridges. To quantify the effects of these parameters, two steel railway bridges with CWRs and the maximum expansion lengths according to UIC Code 774-3 were analyzed: (1) simply supported truss bridge with expansion length of 60 m and (2) continuous truss bridge with expansion lengths of 2 × 60 m. According to the obtained results, the track longitudinal resistance had the most significant impact on additional temperature stresses in CWRs, leading to their reduction of up to 72%. The bridge expansion length and the rail cross-sectional area led to reductions of up to 25% and up to 18%, respectively. Considering the deformation criteria of TBI, the longitudinal stiffness of the fixed bridge support had a minor effect on the reduction of additional temperature stresses in CWRs.
- Open Access
- 18 March 2023
- Published by MDPI AG in Algorithms
- Vol. 16 (3) , 164
Comparison of Single-Lane Roundabout Entry Degree of Saturation Estimations from Analytical and Regression Models
Roundabout design is an iterative process consisting of a preliminary geometry design, geometry performance checks, and the estimation of intersection functionality (based on the results of analytical or regression models). Since both roundabout geometry design procedures and traffic characteristics vary around the world, the discussion on which functionality estimation model is more appropriate is ongoing. This research aims to reduce the uncertainty in decision-making during this final roundabout design stage. Its two objectives were to analyze and compare the results of roundabout performance estimations derived from one analytical and one regression model, and to quantify the model results’ susceptibility to changes in roundabout geometric parameters. For this, 60 four-legged single-lane roundabout schemes were created, varying in size and leg alignment. Their geometric parameters resulted from the assumption of their location in a suburban environment and chosen design vehicle swept path analysis. To compare the models’ results, the degree of saturation of roundabout entries was calculated based on presumed traffic flows. The results showed that the regression model estimates higher functionality and that this difference (both between the two models and regression models applied on different schemes) is more pronounced as the outer radius and angle between the legs increase.
- 18 March 2023
- Published by MDPI AG in Algorithms
- Vol. 16 (3) , 164
Open AccessComparison of Single-Lane Roundabout Entry Degree of Saturation Estimations from Analytical and Regression Models
Roundabout design is an iterative process consisting of a preliminary geometry design, geometry performance checks, and the estimation of intersection functionality (based on the results of analytical or regression models). Since both roundabout geometry design procedures and traffic characteristics vary around the world, the discussion on which functionality estimation model is more appropriate is ongoing. This research aims to reduce the uncertainty in decision-making during this final roundabout design stage. Its two objectives were to analyze and compare the results of roundabout performance estimations derived from one analytical and one regression model, and to quantify the model results’ susceptibility to changes in roundabout geometric parameters. For this, 60 four-legged single-lane roundabout schemes were created, varying in size and leg alignment. Their geometric parameters resulted from the assumption of their location in a suburban environment and chosen design vehicle swept path analysis. To compare the models’ results, the degree of saturation of roundabout entries was calculated based on presumed traffic flows. The results showed that the regression model estimates higher functionality and that this difference (both between the two models and regression models applied on different schemes) is more pronounced as the outer radius and angle between the legs increase.
- Open Access
- 31 October 2022
- Published by MDPI AG in Applied Sciences
- Vol. 12 (21) , 11019
The Design Vehicle Steering Path Construction Based on the Hairpin Bend Geometry—Application in Roundabout Design
A prerequisite for a well-designed roundabout is the definition of the design vehicle movement geometry and its turning envelopes. This is because kinematic and dynamic requirements lose their importance due to low driving speed. In this paper, the investigation of the deviations of design vehicle steering paths for straight passage through the roundabout constructed according to the two approaches is presented. The first approach (A-1) includes the application of short, straight lines between the adjacent arcs on the path, and the second (A-2) implies the application of consecutive circular arcs. A computer simulation of vehicle movement was conducted using the Autodesk Vehicle Tracking 2020 software. The results showed that A-2, a faster and simpler approach, is applicable with caution, as the resulting turning envelopes derived from this approach are more offset from the roundabout centers compared to the A-1 approach. A total of 72% of right-hand-side path and resulting right-hand-side design vehicle body and chassis turning envelope deviations were between 0.00 and 0.15 m, 27% were over 0.15 m, and 7% were over 0.25 m. This results in larger roundabout entry and exit widths as well as the need for large lateral clearances for entries and exits on roundabouts where heavy pedestrian traffic on sidewalks is expected. The noted offset of left-hand-side design vehicle trajectories on the circulatory roadway (which was mostly between 0.05 and 0.15 m) could have a positive impact on the deflection around the central island.
- 31 October 2022
- Published by MDPI AG in Applied Sciences
- Vol. 12 (21) , 11019
Open AccessThe Design Vehicle Steering Path Construction Based on the Hairpin Bend Geometry—Application in Roundabout Design
A prerequisite for a well-designed roundabout is the definition of the design vehicle movement geometry and its turning envelopes. This is because kinematic and dynamic requirements lose their importance due to low driving speed. In this paper, the investigation of the deviations of design vehicle steering paths for straight passage through the roundabout constructed according to the two approaches is presented. The first approach (A-1) includes the application of short, straight lines between the adjacent arcs on the path, and the second (A-2) implies the application of consecutive circular arcs. A computer simulation of vehicle movement was conducted using the Autodesk Vehicle Tracking 2020 software. The results showed that A-2, a faster and simpler approach, is applicable with caution, as the resulting turning envelopes derived from this approach are more offset from the roundabout centers compared to the A-1 approach. A total of 72% of right-hand-side path and resulting right-hand-side design vehicle body and chassis turning envelope deviations were between 0.00 and 0.15 m, 27% were over 0.15 m, and 7% were over 0.25 m. This results in larger roundabout entry and exit widths as well as the need for large lateral clearances for entries and exits on roundabouts where heavy pedestrian traffic on sidewalks is expected. The noted offset of left-hand-side design vehicle trajectories on the circulatory roadway (which was mostly between 0.05 and 0.15 m) could have a positive impact on the deflection around the central island.
- Open Access
- 6 October 2022
- Published by MDPI AG in Applied Sciences
- Vol. 12 (19) , 10036
Influence of the Analytical Segment Length on the Tram Track Quality Assessment
In the track quality analysis, numerical values representing the relative condition of track geometry called track quality indices (TQIs) are calculated along a specific track segment. Segments are defined as linear track geometry datasets with the homogeneous characteristics of factors affecting geometry degradation. The 200m-long analytical segment is used most often on inter-city conventional and high-speed rail networks. However, in the case of the small urban rail networks, the homogeneity of track-geometry degradation influential factors is very low. This segment length is usually too long for efficient track maintenance or reconstruction with minimal disruption of the urban traffic. This paper explores the effect of reducing the analytical segment length in the condition assessment of the tram network in the City of Osijek, Croatia. The research had two main objectives: (1) to assess the narrow-gauge tram-track geometry quality through the application of the established synthesized TQIs, and (2) to analyze how a change in the analytical segment length affects this assessment. Two synthesized track quality indices—one based on a weighted value and the other on a standard deviation of measured track geometry parameters—were calculated for the 27.5 km of tracks on consecutive 200-, 100-, 50-, and 25 m long analytical segments. The comparative analysis of the TQIs’ calculation results showed that the reduction in the segment length increased the resolution of the track quality analysis in both cases, while the index based on a weighted value of geometry deviations proved less sensitive to this reduction. These results contribute to further segmentation process establishment and TQIs implementation on tram infrastructure.
- 6 October 2022
- Published by MDPI AG in Applied Sciences
- Vol. 12 (19) , 10036
Open AccessInfluence of the Analytical Segment Length on the Tram Track Quality Assessment
In the track quality analysis, numerical values representing the relative condition of track geometry called track quality indices (TQIs) are calculated along a specific track segment. Segments are defined as linear track geometry datasets with the homogeneous characteristics of factors affecting geometry degradation. The 200m-long analytical segment is used most often on inter-city conventional and high-speed rail networks. However, in the case of the small urban rail networks, the homogeneity of track-geometry degradation influential factors is very low. This segment length is usually too long for efficient track maintenance or reconstruction with minimal disruption of the urban traffic. This paper explores the effect of reducing the analytical segment length in the condition assessment of the tram network in the City of Osijek, Croatia. The research had two main objectives: (1) to assess the narrow-gauge tram-track geometry quality through the application of the established synthesized TQIs, and (2) to analyze how a change in the analytical segment length affects this assessment. Two synthesized track quality indices—one based on a weighted value and the other on a standard deviation of measured track geometry parameters—were calculated for the 27.5 km of tracks on consecutive 200-, 100-, 50-, and 25 m long analytical segments. The comparative analysis of the TQIs’ calculation results showed that the reduction in the segment length increased the resolution of the track quality analysis in both cases, while the index based on a weighted value of geometry deviations proved less sensitive to this reduction. These results contribute to further segmentation process establishment and TQIs implementation on tram infrastructure.