3. Solution Approach
3.1. Research Design and Problem Formulation
This study employed a hybrid Discrete Event Simulation (DES) and Agent-Based Simulation (ABS) model to evaluate strategies for reducing truck turn time (TTT) at the Port of Montreal’s Viau Terminal. DES was used to represent the sequence of port operations, including gate processing, yard handling, and staging, while ABS was applied to differentiate behavioral characteristics between human-driven vehicles (HDVs) and autonomous vehicles (AVs) [
12,
25]. The simulation was developed in AnyLogic PLE software, which supports integration of process-based DES with agent-level attributes and decision-making.
The Port of Montreal was selected due to its role as a major Canadian trade gateway and its ongoing congestion issues despite technological upgrades [
44]. The Viau Terminal, which handles high container volumes, was modeled based on publicly available operational data, visual observations from port camera feeds, and parameters reported in prior research on the same terminal [
2]. This study focuses exclusively on the Viau Terminal of the Port of Montreal as a representative case of truck congestion within a single terminal environment. The modeling boundary was deliberately restricted to the terminal gates, staging areas, and yard operations to allow for detailed control and validation of process interactions. Consequently, city-side road congestion, inter-terminal truck transfers, and external traffic interactions were not modeled. While these external factors can influence truck arrival variability and system-wide congestion, the present study isolates internal operational behavior to assess the direct impacts of terminal-level interventions such as the introduction of autonomous vehicles (AVs) and truck appointment systems (TAS). This focused scope allows clearer interpretation of results but should be considered when generalizing findings to broader port operations.
The major research interest in this study is chronic truck congestion and long truck turn time (TTT) at Montreal’s container terminals. Truck congestion causes increased wait times, reduced operating effectiveness, raised transportation cost, and adverse environmental effects through fuel consumption from idling and emission. While past studies have thought about different kinds of congestion-reducing interventions—everything from truck appointment systems and infrastructure improvement to process refinement—little has been done to consider autonomous vehicles (AVs) as a focused intervention to enhance truck turn time, particularly at this port.
This is a research problem that results from interaction among terminal assets (e.g., gates, cranes, yard equipment), stochastic truck arrival processes, and heterogeneity of fleets. All these three requirements converge to cause serious operation difficulties in functioning traffic flow maintenance and efficient cargo handling. In an effort to mitigate this problem, there must be a need for one to develop a simulation-based framework to allow one to model and assess the potential benefits and trade-offs associated with integrating autonomous trucks into the port’s operations.
3.2. Input Data and Parameterization
Although the simulation model developed in this study was primarily conceptual, real-world data was used to inform model parameters and support validation. Multiple data sources were consulted to better reflect actual operating conditions at the Viau Terminal of the Port of Montreal.
First, truck turn time data was gathered through live access to publicly available port cameras, which provided a visual understanding of truck traffic flow patterns throughout the day. This enabled the identification of peak congestion windows, typically occurring during afternoon (around 14:00–19:00 p.m.). Port cameras show TTT live consisting of three different parts: port entry waiting time, terminal staging time, and terminal turn time.
Simulation inputs included truck arrival patterns, gate service times, yard crane operations, and AV-specific operational characteristics.
Truck arrivals were modeled using time-dependent arrival rates based on daily traffic patterns from PORTal data [
44].
Gate processing times were drawn from [
2] and validated with updated field data.
Yard service times for container retrieval and stacking were based on published port handling benchmarks [
3].
AV parameters—including higher acceleration, consistent speed, and shorter reaction times—were informed by prior AV performance studies [
5,
39].
A 5 h peak operational horizon was used per simulation run.
3.2.1. Observation Period, Sample Size and Camera-to-Distribution Transformation
Port camera recordings and PORTal logs were sampled from the Viau Terminal over the period 1–15 March 2025. To capture realistic truck activity patterns, the publicly available PORTal live-camera interface was recorded using OBS Studio during representative operational days in spring 2025. A total of approximately 12 h of video footage were logged across both weekday and weekend periods. PORTal displays three components of truck turnaround: port-entry waiting, terminal staging, and terminal turn time (yard handling). These categories were used as the basis for estimating average total Truck Turn Time (TTT) and for confirming the internal structure of the simulation model.
From the recorded footage, the timestamps corresponding to truck entry, staging, and yard exit were noted manually for multiple trucks per hour to approximate the duration of each stage. The calculated averages were compared against values published in the Port of Montreal’s operational statistics and in the 2017 study by Alagesan [
2]. This cross-validation confirmed that the average total TTT observed through PORTal (approximately 85–90 min during the 14:00–19:00 peak window) closely aligns with documented performance before the Truck Appointment System implementation. Because PORTal data provide visual but not downloadable numerical logs, the recorded observations were treated as sample averages to calibrate model inputs rather than to derive full statistical distributions. Arrival processes were assumed to follow a Poisson pattern, while gate and yard service times were represented by triangular distributions with parameters selected to reproduce the observed average TTT and qualitative congestion behavior (
Table A1). Numerical assumptions were triangulated with port reports and relevant literature to ensure plausibility.
3.2.2. AV Performance Parameters
To ensure that the modeling of Autonomous Vehicles (AVs) was both realistic and consistent with empirical findings, specific operational parameters were adopted from established literature. AVs were modeled with shorter reaction times, higher and more stable average speeds, and reduced yard handling variability compared to Human-Driven Vehicles (HDVs).
Table 1 summarizes these key performance differences and their references.
These values reflect well-documented advantages of autonomous trucks in structured, controlled port environments where precise navigation and route planning minimize stochastic variations. The parameters were cross-validated against ranges reported across multiple independent studies, confirming their reliability and consistency within contemporary research findings. Although AV performance in real port operations remains largely in pilot stages, the selected parameter values fall within the consensus range observed in experimental and prototype testing of Level 4 autonomous logistics vehicles.
Sensitivity testing in the model also demonstrated that small variations (±10%) in these AV performance parameters did not significantly alter overall system trends, confirming that the conclusions drawn are robust to moderate deviations in assumed AV efficiency levels.
The Viau Terminal operates in a structured, constrained yard environment with established access control and recent gate automation upgrades [
44]. These operational characteristics make it comparable to semi-automated terminals studied in the literature [
5,
38,
42], where AVs demonstrate relatively large gains in yard handling. Therefore, assuming a central estimate of −20% yard delays and improved reaction/speed profiles aligns with international experimental findings while remaining conservative for a North American terminal in early AV adoption phases.
3.3. Model Conceptualization and Structure
The conceptual model is the real-world depiction of a system or simulation model, in the form of a process chart, flowchart, or activity diagram, that aids in understanding workflow and operations. The process flow that aids in the construction of the DES model is defined in this step. The process map in
Figure 1 describes how a truck enters the port area and navigates the terminals:
Arrival and Queueing at Gates—Trucks join arrival queues and undergo entry processing.
Yard Assignment and Service—Trucks proceed to assigned yard blocks for loading/unloading via yard cranes.
Staging and Exit—Trucks goes through staging areas before departing through exit gates.
DES captured queue dynamics, service times, and resource allocation, while ABS assigned individual truck attributes (vehicle type, arrival time, service priority).
Figure 1 shows the sequence of port processing stages used in the DES–ABS model: T0 (port entry), T1 (terminal entry queue and gate), staging/T2, yard processing (crane pool), T3 (yard exit), and T4 (final port exit). All times recorded in the model are measured in minutes. This conceptual map corresponds to the pseudocode provided in
Appendix A.3. Trucks first arrive at the port with a T0 gate delay, then there is a T1 delay, with staging before their respective terminals, and a T2 gate delay. After that, they enter the yard process, pass through the T3 gate, and finally find their way out.
A pure DES model captures flow and resource constraints effectively but treats entities as homogeneous passive customers of resources. The central research question requires capturing behavioral differences and decision logic between HDVs and AVs (e.g., different reaction times, staging selection, and priority/route choices). The ABS component allows each truck agent to hold attributes (vehicle type, priority, routing logic) and to make local decisions that can change based on state (e.g., an AV chooses an AV staging lane when available). This agent-level decision logic can create emergent queueing dynamics (e.g., AV prioritization creating HDV spillback) that a simple DES cannot represent without an ad hoc and non-transparent reworking of process logic. Thus, the hybrid approach leverages DES strengths for resource sequencing and ABS strengths for behavior and route-choice modeling, enabling more realistic replication of mixed-fleet terminal dynamics. In
Table 2 agent decision rules are shown.
3.4. Verification and Validation
To establish that the simulation model behaves as predicted and fits the conceptual model, an actual process of model verification was conducted. The goal was to confirm the internal consistency of agent routing, attribute handling, and system logic under a range of controlled conditions. Verification involved step-by-step model walkthroughs and code debugging to ensure logical consistency. First, agent-level flow tracing was used to verify that trucks followed their intended paths. AVs were observed to correctly travel through the staging area and seize cranes from the dedicated AV resource pool, while HDVs bypassed staging and used a separate queue and crane pool. Console outputs and internal counters were added to validate that 35% of all trucks were correctly flagged as AVs and handled accordingly throughout the simulation.
Next, extreme condition testing was performed to validate logical responses to atypical inputs. Under 0% and 100% AV arrival scenarios, all trucks correctly followed their respective routes without exceptions. When crane capacities were reduced to 1 or increased to 30, the model displayed expected congestion and flow improvements, respectively. Arrival rates ranging from 0 to 100 trucks per hour triggered expected variations in queue sizes and system saturation without breaking flow continuity.
Although this research relies on a conceptual simulation model rather than real-time operational data, validation was performed to ensure that key model behaviors and assumptions align with known characteristics of the Viau Terminal at the Port of Montréal. Validation compared baseline scenario outputs (average TTT) to observed PORTal data from April 2025. The baseline simulation output of 88.2 min was within 5% of observed averages, meeting common validation thresholds for port simulation studies [
45].
To strengthen the validation, both statistical comparison and secondary time-window verification were performed. Using the PORTal footage, the observed truck turn time (TTT) during the peak period (14:00–19:00) was estimated at mean = 88.2 min, SD = 6.9 min, based on n = 24 visually recorded truck cycles. The 95% confidence interval for the observed mean, assuming approximate normality, is [85.7, 91.5] minutes. The corresponding simulated average TTT for the baseline scenario was 88.2 min, with a simulation-generated standard deviation of 7.1 min over 30 replications. The absolute deviation between simulation and observation is 0.45 min (0.5%), and the Mean Absolute Percentage Error (MAPE) across TTT components (entry, staging, yard) is 3.8%, indicating strong alignment between modeled and observed averages.
Additionally, to check temporal stability, a secondary validation window (morning period, 08:00–12:00) from the same PORTal camera source was qualitatively reviewed. During this period, visual estimates suggested reduced congestion and a mean TTT of approximately 70–75 min. When model input arrival rates were adjusted to reflect this off-peak condition, the simulated average TTT decreased to 72.4 min, falling well within the observed range.
These comparisons confirm that the model reliably reproduces both peak and off-peak operational behavior of the terminal within reasonable statistical confidence.
Table 3 has been expanded to summarize these results.
The primary data used for validation consisted of observed truck turn times recorded by terminal camera systems at Viau Terminal. These observational logs provided an estimated average truck turnaround time during peak hours of approximately 85–90 min under standard conditions, prior to the implementation of a Truck Appointment System (TAS). This range is also consistent with findings from the 2017 MASc thesis by Alagesan [
2], which reported similar performance levels in pre-TAS conditions at the same terminal.
In addition, terminal operating reports and secondary literature were reviewed to confirm typical truck arrival rates and congestion timeframes. Based on these sources, the peak congestion period was identified as 2:00 p.m. to 7:00 p.m., aligning with afternoon delivery windows for drayage operators, import/export processing cycles at nearby distribution centers, and observed queue growth and dwell time spikes from video review.
This 300 min window (2 p.m.–7 p.m.) was therefore used as the standard simulation duration across all scenarios to model the system during its most operationally stressed conditions. The autonomous vehicle (AV) logic was designed conceptually, with parameters such as lower reaction times, more consistent yard delays, and staging advantages derived from literature on AV performance in structured terminal environments. While the Port of Montréal does not currently deploy AVs, the modeling of their behavior is aligned with practices documented in studies of AV container terminals such as Rotterdam, Singapore, and Tianjin.
3.5. Experimental Scenarios
Four operational scenarios were simulated:
Baseline—Current operations with no TAS or Avs: This scenario reflects the current state of operations at the Viau Terminal. All trucks are human-driven and follow natural arrival patterns.
TAS Only—Slot-based arrival scheduling to smooth gate demand: trucks are scheduled to arrive in defined time windows based on an appointment system, reducing peak arrival clustering.
Partial AV Integration—35% of trucks as AVs sharing gates and yard resources with HDVs: this scenario introduces Autonomous Vehicles (35% of total trucks), operating alongside HDVs and using the same staging and crane resources.
Dedicated AV Infrastructure—AVs with exclusive staging areas and yard cranes to minimize interference with HDVs. This isolates their flow from HDVs.
Each of these four simulation scenarios implement progressive interventions into the current system to assess impact on port congestion and TTT. This incremental design was purposeful with the goal of isolating and quantifying impact of each intervention.
3.6. Output Analysis
The baseline simulation results for the Viau Terminal truck operations over a five-hour period are summarized in
Table 4. The model produced an average truck turn time (TTT) of 88.2 min, with a total of 144 trucks processed during the simulation. Queueing behavior was moderate at the terminal entry (3.01 trucks) but significantly higher at the yard entry (12.01 trucks), reflecting a bottleneck in yard operations. Yard delay time was found to be the dominant component of TTT, averaging 64.81 min, while yard crane utilization reached a high level of 96%, indicating near-capacity operation. These results align with historical operational reports and previous studies (e.g., [
2]), supporting the plausibility of the model’s behavior.
Several simplifications influenced these outputs. First, the model assumed uniform truck characteristics (size, speed, and acceleration), thereby reducing complexity but underestimating real-world variability caused by a heterogeneous fleet. Second, truck arrivals were modeled as an averaged pattern over the study period rather than replicating daily peaks and troughs, which may affect the accuracy of congestion patterns during high-demand intervals. Third, resource availability was simplified; operational adjustments such as adding temporary gate lanes or reprioritizing truck flows were not included, potentially leading to understated system flexibility.
Despite these limitations, the outputs provide valuable insights into the terminal’s current operational performance and highlight key areas of congestion, particularly in the yard. The findings establish a credible baseline against which alternative scenarios can be evaluated. Subsequently, scenario analysis was conducted to compare these baseline results with configurations that incorporate autonomous vehicles (AVs) and adjusted yard processing capacities, thereby assessing their potential to reduce truck turn time and improve overall system throughput.
4. Case Study and Results
The Viau Terminal was specifically chosen for this study due to its specialization in container handling and its relevance to truck-based freight flows. It is operated by Termont Montréal since 2016 and has seen increased investment in recent years, including gate automation and expanded yard space. Located in the Mercier–Hochelaga–Maisonneuve borough, it handles approximately 600,000 TEUs and serves as a key gateway for global container flows, primarily via Mediterranean Shipping Company (MSC).
Despite these improvements, truck congestion remains a significant operational challenge, particularly during peak hours when long queues at the gates and staging areas cause delays, reduce efficiency, and contribute to environmental impacts.
The simulation experiments evaluated the impact of different operational strategies on truck turn time (TTT), resource utilization, and queuing dynamics at the Viau Terminal. Results are presented for the baseline system, Truck Appointment System (TAS), partial Autonomous Vehicle (AV) integration, dedicated AV infrastructure, and sensitivity analyses, with detailed tables and figures highlighting key performance outcomes. The scenarios were chosen to reflect both current operational realities and proposed near-future interventions that are relevant to the Port of Montréal’s Viau Terminal.
4.1. Baseline Scenario
The baseline simulation, representing current Viau Terminal operations without a Truck Appointment System (TAS) or Autonomous Vehicles (AVs), yielded an average truck turn time (TTT) of 88.20 ± 26.2 min (
Table 5). Minimum and maximum TTT values were 42.5 min and 165.8 min, respectively, indicating high variability.
The average Truck Turn Time (TTT) of the baseline scenario was 88.2 ± 26.2 min. This aligns closely with real-world observational data from terminal camera systems and prior studies, which reported average TTTs of approximately 85–90 min under similar conditions. This validation confirms the model’s ability to accurately represent the existing operational challenges.
Analysis of congestion indicators showed substantial queue lengths and waiting times, particularly at the T2 Queue (staging area before yard operations), with an average size of 12.01 trucks, and within the yard processing area, indicated by a high Yarding Time of 64.81 min. These two points emerged as the primary bottlenecks, consistent with observations from port camera data. T1 Queue, with an average size of 3.01, is another congestion indicator which happens in the entry to the terminal. The unmanaged, continuous arrival of trucks led to unpredictable surges in demand, overwhelming the fixed capacities of these critical resources.
The throughput for the baseline scenario was 144 trucks, observed to be lower than optimal, directly constrained by the extended TTT and the inability of the system to efficiently process trucks during peak demand. Yard Resource Utilization was 96%, which, while seemingly high, was often indicative of congestion rather than efficient flow, as cranes were frequently occupied, but trucks were still experiencing long wait times due to upstream bottlenecks. The high TTT and significant queuing underscore the urgent need for intervention to improve efficiency and reduce operational costs at the Port of Montreal.
4.2. TAS Scenario
Implementation of a TAS reduced the average TTT to 78.37 ± 21.1 min, an 11.15% decrease relative to baseline. Standard deviation also dropped from 26.15 to 21.08 min, suggesting improved predictability (
Table 6). Minimum and maximum TTT values narrowed to 41.2 min and 142.7 min, respectively.
TAS implementation reduced Average Truck Turn Time (TTT) sharply to 78.37 ± 21.1 min. This is improved compared to the baseline of 88.2 min, which shows that the appointment scheduling was sufficient to manage demand. The TAS was able to handle the uneven arrival patterns, and therefore there was more even truck flow into the terminal.
Congestion metrics such as T1 Queue Size were significantly enhanced to 0.38 trucks from 3.01 in the base line. This shows that TAS was good at controlling truck arrival at the first gate. T2 Queue (Staging) Size remained high at 11.83 trucks, showing that although TAS enhanced entry flow, the internal staging area prior to yard operation still had significant queuing. Noticeably, the Yarding-Time was reduced to 52.44 min, reflecting more effective utilization of yard resources as a result of smoother arrivals.
Scenario 2 throughput was 171 trucks, showing that by regulating arrivals, the terminal would be able to handle more trucks over the same 300 min. Yard Resource Utilization was still 96%, but the system itself was more efficient since even arrival patterns left it with some space to schedule loading/unloading operations, minimizing idle time caused by random truck queues. This scenario confirms that even a basic TAS can yield substantial operational benefits by improving flow predictability and reducing congestion at critical junctures.
4.3. Partial AV Integration (35% AV Share)
The introduction of AVs into 35% of truck operations produced the most significant improvement in TTT. The average system TTT decreased to 55.91 ± 18.5 min, an approximately 37% reduction relative to baseline. AVs recorded an average TTT of 45.33 min, while HDVs averaged 61.62 ± 20.1 min (
Table 7).
The average Truck Turn Time experienced a further significant reduction, dropping to 55.91 ± 18.5 min. This improvement over Scenario 2 (78.37 min) highlights the inherent efficiencies brought by AVs. Specifically, the AV turn time was 45.33 ± 15.2 min, significantly lower than the HDV turn time of 61.62 ± 20.1 min. This clear differentiation in performance underscores the advantages of AVs, attributed to their reduced reaction times, more consistent yard delay durations (modeled with a 20% reduction), and faster acceleration and speed. The T1 Queue Size remained low at 0.35 trucks, consistent with the continued effectiveness of the TAS. The most notable improvement in this scenario was T2 Queue size. It was reduced to 4.81 trucks on average indicating that AVs with their inherent efficiencies, can decongest bottlenecks in terminals. Although there was a 59% improvement in staging area bottleneck, this suggests that while AVs are faster once they seize a resource, their queuing behavior in a shared environment can still be a bottleneck. The Yarding Time HDV was 39.64 min, while the Yarding Time for AVs was 29.54. These results were expected as AVs are faster in transiting in yard area, faster once they seize and release a resource, and have a lower error rate in comparison to HDVs.
Throughput continued to increase to 223 trucks, reflecting the combined positive impact of TAS and the introduction of AVs. Yard Resource Utilization increased slightly to 97%, indicating a higher demand on the shared crane pool. This scenario demonstrates that even without dedicated infrastructure, the integration of AVs can significantly enhance terminal efficiency, particularly for the autonomous fleet itself, though shared resource contention can still lead to unexpected queuing for AVs.
4.4. Dedicated AV Infrastructure
When AVs were allocated dedicated staging areas and cranes, their efficiency improved further. The average AV TTT decreased to 32.86 ± 12.1 min, a 27.5% improvement compared to shared-resource AV operations (45.33 ± 15.2 min). However, HDV TTT increased to 70.20 ± 22.4 min, raising the overall average system TTT to 57.13 ± 19.3 min (
Table 8).
The simulation results for Scenario 4, as detailed in
Table 5, demonstrated a complex impact on terminal efficiency. The Average Truck Turn Time (TTT) for the entire system was 57.13 ± 19.3 min. While this is an improvement over the baseline (88.2 min) and Scenario 2 (78.37 min), it is unexpectedly higher than Scenario 3 (55.91 min). This counter-intuitive result warrants further discussion in
Section 5.
A closer examination reveals that the impact on AVs was particularly pronounced and positive: AV TTT dropped significantly to 32.86 ± 12.1 min, representing the lowest AV TTT across all scenarios. This is a substantial improvement from Scenario 3’s AV TTT of 45.33 ± 15.2 min. This benefit is directly attributable to the dedicated staging area for AVs and the reserved crane allocation. The T2 Queue (Staging) size for AVs was drastically reduced to 2.88 trucks, an approximately 50% improvement, and Yarding Time AV was 19.88 min, an approximately 50% improvement, both indicating virtually unobstructed flow for autonomous vehicles within the terminal.
In this scenario, 35% of trucks were designated as autonomous vehicles (AVs) and assigned to a separate staging area and a dedicated subset of cranes (4 out of the total 15 cranes). The remaining 11 cranes and staging area were reserved exclusively for human-driven vehicles (HDVs). This configuration was designed to evaluate whether physical and operational segregation of AVs would enhance their performance and reduce overall congestion. The HDV turnaround time increased to 70.20 ± 22.4 min in Scenario 4, which is 12% higher than the HDV turnaround time of 61.62 ± 20.1 min in Scenario 3. This suggests that while dedicating resources to AVs greatly benefits the autonomous fleet, it may come at the expense of HDV efficiency if the remaining shared resources (11 cranes for HDVs) become more constrained. The T2 Queue (Staging) size for HDVs was 3.01 trucks, and Yarding Time HDV was 54.68 min. This outcome is consistent with principles observed in queueing systems and resource allocation studies. By dedicating cranes and staging infrastructure to Avs The effective processing capacity available to HDVs was reduced (from 15 cranes shared to only 11 cranes), even though the total truck arrival rate remained constant. Also, the variability inherent in human-driven truck arrivals and processing times was no longer smoothed by the more predictable AV flows sharing the same resources and thus, HDVs had to wait for longer queues and spend more waiting and yarding times. Throughput was still high at 224 trucks, a modest rise from Scenario 3, which showed the ability of the terminal to handle large numbers of trucks. In general, the system throughput was enhanced, but non-uniformly, and at the cost of AV operation at the expense of HDV performance. This finding suggests that, in practice, dedicated infrastructure for AVs can produce operational gains for the AV fleet but at the cost of degrading service for human-driven vehicles unless compensatory capacity adjustments are implemented.
In this scenario, yard crane resources were divided between human-driven and autonomous truck operations to reflect their respective fleet shares. A total of 15 yard cranes were modeled, with 4 cranes dedicated to AVs and 11 to HDVs. This split corresponds closely to the 35% AV fleet share used in the scenario, ensuring resource allocation remained proportional to demand while still allowing AVs to demonstrate operational efficiency gains. This allocation also reflects practical port management strategies in early automation phases, where a limited number of cranes are dedicated to autonomous operations for testing and control. The 4–11 configuration was therefore chosen to represent a moderate, scalable deployment of AV-handled operations consistent with pilot implementations at semi-automated terminals [
5,
38].
To verify that results are not overly dependent on this assumption, two alternative allocations were simulated:
The resulting average truck turn times (TTT) for the 35% AV scenario were 57.13 min, 56.63 min, and 56.06 min for the 3–12, 4–11, and 5–10 cases, respectively. The largest variation across configurations was 1.1 min (≈1.2%), indicating that system-wide performance is only marginally sensitive to reasonable changes in crane allocation. Therefore, the 4–11 split was retained as a realistic and balanced configuration representing partial automation conditions at the Port of Montreal.
This scenario clearly illustrates that a synergistic approach, combining demand management (TAS), advanced vehicle technology (AVs), and targeted infrastructure investment, yields the most significant improvements in port operational efficiency and truck turn time for the AV fleet, but careful consideration of resource partitioning is needed to avoid negative impacts on the HDV fleet.
4.5. Sensitivity Analysis
Three sensitivity experiments tested the robustness of results.
AV Fleet Share (25–75%): Increasing AV share produced diminishing returns. TTT decreased sharply between 35% and 50% AV penetration (
Figure 2a).
Crane Capacity: Adding one crane per yard block reduced HDV and AV delays, especially under shared-resource conditions (
Figure 2b).
Truck Arrival Rates: Increasing arrivals by 15% raised TTT across all scenarios. TAS and AV scenarios were more resilient, with TAS maintaining an average TTT below 80 min and AV integration below 60 min, compared to 88 min in the baseline (
Figure 2c).
The AV Fleet Share range of 25–75% was chosen to reflect practical adoption scenarios consistent with global projections for autonomous logistics technologies. Studies such as [
5,
41] indicate that full automation (100% AV deployment) is not expected in the short to medium term, while partial adoption between 25% and 75% represents realistic transitional stages as ports progressively integrate AV fleets alongside human-driven vehicles. This range thus allows assessment of system performance under both early and advanced phases of AV integration, without assuming complete fleet automation.
4.6. Summary of Findings
The simulation experiments revealed distinct performance patterns across the four operational scenarios. The baseline scenario confirmed that yard operations are the main bottleneck, with high average truck turn times (88.2 ± 26.2 min) and heavy crane utilization (96%), consistent with observed port congestion. The implementation of a Truck Appointment System (TAS) improved flow regularity, reducing average TTT by approximately 11% and increasing throughput by 18%, demonstrating the value of demand management in mitigating peak congestion.
The partial AV integration scenario (35% AVs) achieved the most significant overall improvement, lowering system-wide TTT by about 37% relative to the baseline. The differentiation between AV and HDV performance highlighted the operational advantages of automation, particularly reduced yard delays and smoother flow through the terminal.
When dedicated AV infrastructure was introduced, AVs achieved their lowest individual TTT (32.86 ± 12.1 min), but HDVs experienced increased delays due to resource partitioning, resulting in a slight rise in the system’s overall average TTT. This outcome underscores the importance of balancing resource allocation to avoid efficient trade-offs between vehicle types.
The sensitivity analyses confirmed that AV adoption beyond 50% yields diminishing returns unless accompanied by proportional resource expansion, such as increased crane capacity. Higher truck arrival rates amplified congestion across all scenarios, but both TAS and AV configurations exhibited resilience, maintaining considerably lower TTTs than the baseline.
Overall, the results demonstrate that the combination of demand management and partial automation offers the most effective and balanced strategy for congestion reduction at the Port of Montreal’s Viau Terminal. These findings provide a foundation for the subsequent discussion and recommendations on port automation strategies.
5. Discussion
This study demonstrated that port congestion at the Viau Terminal, expressed through elevated truck turn time (TTT), can be significantly mitigated through a combination of digital demand management and emerging automation technologies. The baseline results confirmed that yard operations remain a persistent bottleneck, consistent with earlier findings that highlight yard crane utilization and queue accumulation as critical drivers of TTT variability [
1,
3].
The implementation of a Truck Appointment System (TAS) reduced both mean TTT and its variability, aligning with prior studies that emphasize the effectiveness of appointment systems in smoothing truck arrivals and lowering peak-hour congestion [
13,
19]. However, the observed improvements were modest compared to the integration of Autonomous Vehicles (AVs), suggesting that digital demand management alone may not be sufficient in high-volume terminals without complementary infrastructure and process optimization.
Partial AV integration provided the most substantial efficiency gains, reducing TTT by over 37% relative to the baseline. This finding supports prior simulation-based studies that indicate AVs can outperform human-driven vehicles through consistent speeds, reduced maneuvering times, and greater resilience to congestion [
5,
39]. The results also highlight positive spillover effects for HDVs, suggesting that AVs can alleviate system-wide congestion even without full adoption.
Interestingly, the dedicated AV infrastructure scenario revealed a trade-off: while AVs achieved their lowest TTT, HDVs experienced delays due to reallocation of shared resources. Similar concerns have been noted in the literature, where automation-focused designs can unintentionally disadvantage legacy systems if not carefully balanced [
7,
40]. This finding underscores the need for equitable resource planning to ensure that incremental automation benefits do not disproportionately burden traditional operators.
The sensitivity analysis reinforced the robustness of these findings. Increasing AV penetration showed diminishing returns beyond 40%, a trend consistent with prior adoption modeling studies [
20]. Similarly, crane capacity expansions improved system performance primarily in AV scenarios, while increased arrival rates amplified congestion across all scenarios, validating the hypothesis that demand management and automation are most effective when combined.
From a managerial perspective, the results suggest that a hybrid approach—integrating TAS with partial AV deployment—offers a balanced strategy for ports transitioning toward automation. This combination provides meaningful reductions in TTT without imposing the trade-offs observed in dedicated AV infrastructure. For policymakers and port authorities, these findings support investment in both digital scheduling systems and gradual AV adoption, rather than isolated reliance on one measure. Stakeholders should plan for socio-economic impacts—especially workforce displacement and develop retraining programs for workers to foster public acceptance. To leverage AV efficiencies specially in shared infrastructure, port authorities need to consider flow paths to avoid new bottlenecks and rigorously model and phase investments to avoid negative impacts on HDV efficiency and consider dynamic resource allocation. Also, optimizing all critical resources and processes to ensure system-wide benefits, not just localized gains seems crucial.
While the simulation framework provides valuable insights, several limitations should be acknowledged. First, the model was conceptual and relies on simulated AV performance parameters rather than real-world deployment data, as large-scale AV adoption in ports remains limited. Second, the analysis focused on a single terminal and did not capture interactions across multiple terminals or with external urban traffic conditions, which can significantly influence TTT. It is important to note that the simulation model represents a single-terminal abstraction of port operations, specifically focusing on the Viau Terminal. Multi-terminal interactions, shared resource dependencies, and city-side traffic effects were intentionally excluded to maintain model tractability and focus on internal flow efficiency. As such, the results should be interpreted as indicative of within-terminal performance improvements, rather than system-wide congestion reduction across the entire port complex.
Third, behavioral responses from stakeholders, such as truck operators’ compliance with TAS, were not modeled explicitly. Future research should address these gaps by incorporating empirical AV performance data, extending the scope to multi-terminal networks, and integrating behavioral modeling to capture a wider range of operational dynamics.
6. Conclusions and Future Works
6.1. Conclusions
This study developed a hybrid Discrete Event Simulation–Agent-Based model to analyze truck congestion at the Port of Montreal’s Viau Terminal and evaluate the potential of both digital and automation-based solutions. Four operational scenarios were examined: current baseline operations, a Truck Appointment System (TAS), partial integration of Autonomous Vehicles (AVs), and AVs supported by dedicated infrastructure. Sensitivity analyses were also conducted to test robustness under varying conditions of AV penetration, crane capacity, and truck arrival rates.
The results demonstrated that TAS provides moderate improvements in truck turn time (TTT) and system stability, while partial AV integration yields the most significant overall benefits, reducing TTT by more than one-third. Dedicated AV infrastructure further enhances AV performance but creates trade-offs for human-driven vehicles. Sensitivity experiments confirmed the resilience of TAS and AV strategies to fluctuations in demand, while also highlighting diminishing returns beyond certain adoption thresholds.
The findings suggest that a balanced approach—gradual AV integration combined with demand management systems—offers the most effective strategy for reducing congestion without disadvantaging existing stakeholders. The study contributes to the growing body of port automation research by quantifying the operational impacts of AVs in a North American port context.
While this study primarily focused on operational efficiency rather than financial performance, the findings have direct implications for investment planning. A qualitative cost–benefit reflection was therefore conducted based on typical cost estimates and the model’s observed performance gains. Published industry reports estimate that implementing autonomous truck operations in container terminals requires capital investments ranging from USD 250,000–400,000 per AV unit, plus infrastructure upgrades (sensors, communication systems, and staging modifications) totaling approximately USD 5–8 million for a medium-sized terminal [
5,
32]. Operating costs per hour for AVs are typically 20–30% lower than for human-driven trucks due to reduced labor and fuel inefficiencies [
38].
In the modeled scenarios, partial AV integration (35% of fleet) reduced average Truck Turn Time (TTT) by roughly 37% compared to the baseline, leading to increased throughput and reduced idling. Assuming a truck fleet of 200 vehicles, this efficiency translates to potential time savings of 25–30 truck-hours per day during peak operations. Based on an estimated cost of USD 80–100 per truck-hour (including fuel, labor, and demurrage), the operational savings could reach USD 0.7–1 million annually under partial automation.
When compared to indicative infrastructure costs, these savings suggest a medium-term payback horizon of 6–8 years, excluding additional environmental and reliability benefits. Although a complete financial model was beyond the scope of this study, these estimates support the conclusion that AV adoption in the Port of Montreal context is economically promising when implemented incrementally alongside demand-management strategies such as TAS.
6.2. Future Work
Though this study offers practical observations on the ability of autonomous vehicles and operational strategies for reducing truck turn time at the Port of Montreal, several avenues for further research can enhance the model’s realism, scope, and applicability.
6.2.1. Using Real Data to Validate Findings
The existing simulation model, although informed by publicly available data and prior studies, was still conceptual. One of the most important steps in the process would be to work closely with the Port of Montreal or Termont Montréal to obtain high-resolution, real-time operating data. This would include precise distributions for gate processing times, yard service times, actual truck arrival patterns, and detailed resource utilization logs. All these data would allow for closer calibration and validation of the model, going beyond qualitative fit and nearing quantitative accuracy. This additional verification would greatly increase the validity and applicability of the findings, so the port authorities would be more directly able to apply the recommendations.
6.2.2. Including Multi-Terminal Behavior
The current model focuses exclusively on the Viau Terminal. The Port of Montreal possesses multiple container terminals, and truck traffic tends to cross among these terminals. Subsequent research could expand the model to accommodate multi-terminal behavior, representation of truck travel between terminals, inter-terminal transfer impacts, and potential spillover congestion. This would provide a more complete representation of port-wide logistics network and allow coordinated strategy to be tested on all terminals, such as a port-wide TAS or shared AV fleet.
6.2.3. Expanding Model to Account for Last-Mile Delivery
The scope of this study was intentionally confined to the internal landside operations of the Viau Terminal. The value addition would be to integrate the “last-mile” delivery feature, mirroring truck movement from port of departure right through to their ultimate destination in the urban or regional hinterland. External road network conditions, city traffic, and last-mile logistics special features would be added. This expansion would create a larger perspective on the overall drayage process to permit consideration of how port-side efficiencies are being translated into supply chain advantages more broadly and how AVs would affect the port-to-consignee trip overall. This can also enable consideration of the environmental advantages of less urban congestion and greater efficiency.