2.1. The OEE Model
Getting into the objective of this article, we will now define the OEE model for evaluating the selected LUZs. OEE (Overall Equipment Effectiveness) is a concept commonly used in the industrial sector, introduced by Nakajima (1988) [43] as part of total productive maintenance (TPM) to measure the productivity and efficiency of equipment [44]. It is a productivity ratio between real production and what could ideally be produced [45], which in our case could be likened to the unloading carried out in the time reserved for loading and unloading tasks, compared to what could have been done. The objective of this model is to increase productivity and reduce losses in time, speed, and quality. Castrellon et al. [46] suggest that future research could be developed using analytical methods to examine the statistics collected and propose techniques for standardizing performance measures given the multiple scales and metrics encountered. For their part, Alho et al. [2] recommend investigating how different levels of compliance with standards affect the efficiency of the system and what policies can encourage better compliance. Castrellon et al.[12] also suggest in another study that there is a lack of analysis based on objective data and highlight the inefficiency of public policies.
In the logistics sector, there is no defined methodology for calculating this. Studies that address the OEE model for transport [47], compare the vehicle not to industrial equipment according to the classic OEE concept, but rather to the analysis of the efficiency of each individual route [47] and the analysis of the efficiency of the truck loading and unloading process [48], where it is observed that efficiency depends not only on the efficiency of the vehicle but also on that of the driver or on other external factors. Les et al. [32] calculate the OEEM, specific for OEE analysis of a delivery route. In no case has the model been found to apply to LUZ. Teodorovic et al.[49] indicate that it would be necessary to study in more detail segmentation, occupancy rates, average parking duration, indirect parking problems, and the enforcement of parking violations. Marcucci et al. [50] suggest that future research could also investigate the spatial optimization of loading bay locations in relation to demand and supply in a given sector. Hence, research such as that presented in this article constitutes an important pillar in the field of mechanisms for evaluating urban loading and unloading areas.
2.1.1. Factors That Make Up OEE and Their Application to LUZ
2.1.1.1. Availability
Drawing an analogy with the manufacturing sector, this factor reflects the time that a machine, in our case a LUZ, is in production compared to the total time it could be producing. Based on the 24 hours in a day, only a fraction of them are reserved for loading and unloading. From those reserved hours, scheduled downtime must be deducted, such as reserving the LUZ for removals, diesel supplies to communities, or for external events in the city. Therefore, this factor reflects the measurement of the time that the LUZ is in use, i.e., occupied, within the reserved time and excluding scheduled downtime.
In addition to the KPIs or variables currently used to evaluate loading and unloading areas, and in order to characterize this availability factor, it has been necessary to define a new KPI that will be called weighted occupancy time (t
p). It is calculated as follows for a vehicle
i:
The interpretation of this new weighted time indicator is that its sum reflects the spatial-temporal contribution of each vehicle to the LUZ, i.e., how much time the vehicle's length is occupying the area, and its sum is compared with the Total Time available to see the availability of the area. To calculate the indicator, standard lengths have been taken for each type of vehicle: private car (4 m), small van (4 m), delivery van (4.5 m), large volume van (5.8 m), light truck with a maximum authorized mass (MAM) of 3.5 tons (6.2 m), and light truck with a MAM of 7.5 tons (7.7 m).
An availability indicator close to 1 means that it has been permanently occupied during that time, either legally or illegally. On the other hand, a low result would indicate a long period of non-occupation.
2.1.1.2. Efficiency
This factor measures the time that the area has actually been occupied by commercial DUM vehicles, i.e., the weighted occupancy time of non-commercial and unauthorized vehicles is discounted, leaving only goods delivery vehicles to be considered. The calculation of this indicator takes into account the reduction in the weighted time of use of unauthorized vehicles t
x over the total time T
t.
A value close to 1 would indicate that there has been no illegal occupation in the area, while a low value would indicate abuse by unauthorized vehicles. The indicator shows the length of time the area has been occupied by commercial vehicles.
2.1.1.3. Quality
In cities, there are rules and regulations regarding the time allowed for loading and unloading operations. To correctly quantify the time exceeded, the first 30 minutes are considered correct use, as indicated in the Zaragoza City Council's Urban Mobility Ordinance, and the excess time is considered illegal occupation of the LUZ. This factor quantifies the excess time that the area has been occupied by commercial vehicles that have exceeded the time allowed by the city authorities, i.e. the weighted occupancy time of commercial vehicles is subtracted, which, once the legal time has been exceeded, becomes illegal occupation (t
oi). The calculation of this indicator takes into account the reduction in the weighted time of illegal occupation due to exceeding the time allowed.
A value close to 1 would reveal that commercial vehicles comply with the time allowed for loading or unloading, while a low value would indicate abuse by commercial vehicles, which use the LUZ as free parking. The indicator measures the quality of deliveries made correctly, in their corresponding zone and within the time allowed.
2.1.1.4. Calculation of the OEE for the LUZ
With the three factors defined, the generic formula of the OEE model is applied.:
The OEE can be measured for a single area or a group of areas. It can also be measured over any time period you wish to define. It should be noted that in this study, the OEE KPI proposed could be used when there is a need to evaluate an area from different points of view, for example, an OEE can be calculated by hours of occupancy to see if there are any times that suggest the need for improvement actions, or measured by day of the week to see how it behaves with weekly seasonality, or measured over a long period such as the entire month evaluated to obtain consolidated data. It will also be interesting to see the different behaviour of each area in the morning or afternoon.
Figure 1 shows the OEE model applied to a LUZ in graphical form for better understanding:
2.2. Characterisation of Selected LUZs
The analysis of the loading and unloading zones in the city of Zaragoza is shown below. This city was chosen because it is a pioneer in mobility initiatives, such as the implementation of an Urban Consolidation Centre (CCU) in combination with PMVs for UDG [51], distribution pilots with autonomous robots [52], autonomous buses [53], collaborations with the General Directorate of Traffic (GDT) [54,55], which has selected it as a test laboratory, and its participation in national and European projects such as URBANDUM[56] and DISCO Based on the 2018 Sustainable Urban Mobility Plan (PMUS) [57], in the section on UDG, together with open data from Zaragoza City Council, 779 LUZs have been identified. [58,59].
The average length of LUZs in the 14 areas defined in the PMUS in the urban area of the city is 19.4 metres and the average time reserved is 7.7 hours. Considering that this includes recently urbanised areas with very large spaces and generous times for loading and unloading, the central area, with 19.6 metres and 6.5 hours, seems to be a representative area for the study. In this area, 108 LUZ were identified, representing 13.86% of the 779 areas.
Article 93 of Zaragoza's 2024 Urban Mobility Ordinance [60] establishes the maximum time allowed for loading and unloading goods as 30 minutes in general terms.
This article is based on field research with direct observation in five LUZ in the central area. These areas were chosen for their representativeness:
Zone 1:
One-way street with free parking, 9.2 m wide in total and 5.3 m between vehicles, allowing for comfortable double parking. In addition, opposite LUZ there is a ‘dark store’ (an urban warehouse supplying stock to Glovo delivery drivers with PMV), so there is high demand for supplies. The hours for this area are from 9 a.m. to 12 p.m. and from 2 p.m. to 5 p.m. It is a 13-metre area, which corresponds to three theoretical vans or trucks. The entire street, excluding garage entrances and pedestrian crossings, including both pavements, is 168 metres long.
Zona 2:
Six-lane avenue, three lanes in each direction, with regulated parking, which also allows frequent double parking. The reservation time for loading and unloading is from 8 a.m. to 11 a.m., only in the morning. The avenue only has vehicles parked on one side, as the other side is dedicated to a bike lane, and has a total length of 173 metres reserved for parking. The length of the loading area is 10 metres, for two theoretical unloading spaces.
Zones 3, 4 y 5:
One-way street with free parking and no double parking, with cars on both sides of the street, with a total length of 165 metres dedicated to parking. The three areas are: a first area of 18 metres, with 4 theoretical spaces assigned and reservation times from 7 a.m. to 12 p.m. and from 2 p.m. to 5 p.m., a second 10-metre zone for two theoretical spaces, from 9 a.m. to 12 p.m. and from 2 p.m. to 5 p.m., and a third 8-metre zone (reduced due to the allocation of a few metres to a bar terrace) for a single theoretical space, with the same hours as the previous zone. On this street, illegal parking occurs in front of garage doors, pedestrian crossings and at the intersection with the adjacent street.
Figure 2 below shows a map of the area with the LUZ marked in red:
At this confluence of areas, 43 retail establishments have been identified as recipients and/or senders of goods, 27 on the avenue, 4 on the wide street, 7 on the narrow street, and 5 on the street that completes the set of zones. Of these, 8 are food retailers, 18 are general stores, 1 is a supermarket, 10 are Horeca channel, 2 are pharmacies, 1 is a ‘dark store’ and 3 are car repair shops, which offers a standard representation of a typical service area.
Ochoa-Olan et al. [15] proposed that the use of numerical methods to estimate the location, number, and size of truck parking spaces should be complemented by empirical studies in order to balance mathematical calculations. Therefore, this paper presents the field study carried out during the entire month of May 2025 through direct observation, recording all entries and exits from the indicated areas. The month of May was chosen as it is a representative month, with full activity during the school year due to its impact on the city's mobility and the absence of holidays, and is therefore considered to be a time of coexistence between goods transporters and citizens in a normal situation. A total of 1,582 downloads of all types and with all types of vehicles were collected in the five LUZ.