Performance Assessment of Waste Cooking Oil-Modified Asphalt Mixtures

: This study aims to develop a framework to incorporate Waste Cooking Oil (WCO) into asphalt mixtures. Such a framework utilizes a Balanced Mix Design (BMD) approach to ensure adequate resistance to cracking and rutting. Transportation agencies can use the proposed framework to incorporate recycled materials such as used cooking oils and reclaimed asphalt pavements into asphalt mixtures, which promotes sustainability in asphalt pavement construction. This study evaluated the cracking and rutting performance of the control and modified asphalt mixtures with different WCO dosages (i.e., 2, 3, 4, 5, and 7% by the weight of the binder) using the Indirect Tensile Asphalt Cracking (IDEAL) and High-temperature Indirect Tensile (High-IDT) Rutting Assessment Tests, respectively. The results demonstrated that WCO improved the cracking resistance of the control balanced mixture but reduced its resistance to rutting. A statistically significant effect was observed at high WCO dosages. Furthermore, the interaction plot indicates that the overall performance of WCO-modified asphalt becomes softer and more flexible with the increase in WCO dosage. Thus, the designed balanced control mixture becomes unbalanced when using WCO oil at any dosage. This study proposed several approaches to design a more economically balanced WCO-modified balance asphalt mixture.


Introduction
Flexible pavements undergo various types of field distress (e.g., cracking and rutting) [1,2].The characteristics of pavement materials (i.e., binder, aggregates, and asphalt mixture) are one of the main factors affecting this distress [3].Several approaches are investigated to enhance the mixture's performance, including modifying components or implementing new performance assessment tests, specifications, and design approaches.
Asphalt binder modifiers are additives added to the binder to enhance its resistance to specific distresses (i.e., fatigue cracking, rutting, and thermal cracking) [4].Although it is an old practice, several concerns encourage the asphalt community to differentiate, implement, and optimize the use of such modifiers, including (1) the increasing demand for using flexible pavements (e.g., high traffic volumes and loads), (2) reduction in crude oil supply, (3) development of new binder specifications (i.e., SuperPave binder specifications), and (4) environmental and economic concerns (i.e., pressure to recycle waste materials) [5].
The recycling of Waste Cooking Oil (WCO) has garnered considerable interest.WCO has become one of the major pollutants nationally [16].It has a low recoverability rate, many metals, viruses, and bacteria, and it is a potential source of soil, water, and air pollution.It has been used in different applications to mitigate its environmental impacts, such as biodiesel, biogas, grease, animal food, soaps, and detergent productions [17][18][19].However, massive amounts are still illegally dumped into landfills [16].
Several researchers explored the applicability of recycling WCO oil into asphalt binders or mixtures.It has mainly been used as a modifier or rejuvenator for virgin and aged binders.Recently, various research studies have documented the state of knowledge of recycling the WCO into asphalt binder and mixture asphalt materials [20][21][22][23][24][25][26].It was found that WCO was able to affect the physical (i.e., penetration, softening point, viscosity) and rheological (i.e., phase angle [δ], complex shear modulus [G*]) properties of asphalt binders.In addition, it influences the mixture performance (e.g., workability, rutting, low-temperature cracking, stability, flow, and creep stiffness).The literature review findings highlight the feasibility of using WCO as an asphalt binder modifier or rejuvenator.It was observed that adding WCO increases the penetration and viscosity, and δ, while decreasing the softening point and G* of an aged binder.Furthermore, it enhanced rutting and low-temperature cracking, stability, and resistance.However, several concerns have been raised.
Previous studies mainly used the results of physical binder tests (e.g., penetration, viscosity, softening point, flash point, Fraass Breaking Point, and ductility test) to assess the effectiveness of WCO and determine its suitable dosage (or optimum).However, such empirical binder assessment tests do not represent any performance criteria of the studied binders and may provide inconsistent results.For instance, Joni et al. (2019) and Sun et al. (2016) recommended the optimum WCO dosage to be 1% and 15% of binder weight, respectively, although they relied on the same binder tests (penetration, softening point, and ductility tests) to determine the optimum dosage [21,27,28].Similarly, there was a wide range of recommended optimum WCO dosages in the literature (i.e., from 1% to 33% [20,21]).Although other factors contribute to determining the optimum WCO dosage, such a wide range of recommended dosages would negatively affect the performance of asphalt mixtures.In fact, Elahi et al. (2021) and Khedaywi and Melhem (2022), in their review, highlighted the importance of addressing this issue [20,26,29].
In addition, the currently implemented asphalt mix design methods (i.e., SuperPave and Marshall) lack the capability to design modified asphalt mix properly.These methods rely on volumetric parameters (i.e., design air voids (V a ) and volume of effective binder (V be )) to determine the optimum binder content (OBC).However, these parameters do not provide any indication of the interaction between the virgin binder and modifiers [28].Therefore, the impact of such modifiers (enhance/decline) on the designed mix's performance (e.g., resistance to cracking) cannot be appropriately assessed.The review studies indicated that limited studies assessed the performance of modified asphalt mixtures [26,29].For instance, Elahi et al. (2021) [26] stated that limited studies examined WCO-modified asphalt mixtures' cracking resistance.
A new design concept called "Balanced Mix Design (BMD)" is being developed.The BMD overcomes the current volumetric methods (i.e., SuperPave and Marshall) by incorporating performance assessment tests, indicators, and specifications during the mix design process.It is defined as "Asphalt mix design using performance tests on appropriately conditioned specimens that address multiple modes of distress taking into consideration mix aging, traffic, climate, and location within the pavement structure" [49].There is a national interest in implementing the BMD approach [2,30].
In light of the previous discussion, there is a need to utilize the BMD approach to address the raised concerns with WCO-modified asphalt mixtures.It would enhance our understanding of the impact of WCO on asphalt mixture performance.Such findings would optimize the usage of WCO without declaring the mixture performance, which would offer a sustainable, cost-effective, and performance-enhancing solution for road construction, contributing to waste reduction, resource conservation, and environmental protection.

Objectives
The present study aims to develop a framework to incorporate Waste Cooking Oil (WCO) into asphalt mixtures.Such a framework utilizes a Balanced Mix Design (BMD) approach to ensure adequate resistance to cracking and rutting.The proposed framework can be used by transportation agencies to incorporate recycled materials such as used cooking oils and reclaimed asphalt pavements into asphalt mixtures, which promotes sustainability in asphalt pavement construction.

Laboratory Experimental Program
Figure 1 presents the designed experiment plan.First, raw materials were collected (i.e., virgin binder, aggregates, and waste cooking oil (WCO)).Next, the most promising cracking and rutting performance assessment tests, indicators, and thresholds have been selected.Then, a balanced asphalt mixture was designed using the virgin binder and aggregates.Later, the BMD mix was modified with different dosages of WCO.Finally, the BMD performance assessment tools were used to examine the cracking and rutting resistance of the WCO-modified balanced mixtures.Finally, the impact of WCO on the overall performance of a balanced asphalt mixture was assessed using an interaction plot.The following sections discuss the cracking and rutting performance assessment tests selection, properties of raw materials, sample preparation, and testing procedure.

Properties of Raw Materials
An 85/100 binder grade and basalt aggregates were collected from local producers and delivered to the pavement materials laboratory at Hashemite University.Table 1 presents the physical properties of virgin asphalt binder.The aggregate gradation was selected to meet the 12.5 mm Nominal Maximum Aggregate Size (NMAS) requirement following AASHTO M323 [50] (Figure 2).In addition, the selected Waste Cooking Oil (WCO) was a palm olein vegetable oil collected from a local fast-food restaurant.The collected oil was purified through a #200 sieve (0.075 mm) [13].

Properties of Raw Materials
An 85/100 binder grade and basalt aggregates were collected from local pr and delivered to the pavement materials laboratory at Hashemite University.Tab sents the physical properties of virgin asphalt binder.The aggregate gradation lected to meet the 12.5 mm Nominal Maximum Aggregate Size (NMAS) requirem lowing AASHTO M323 [50] (Figure 2).In addition, the selected Waste Cooking Oi was a palm olein vegetable oil collected from a local fast-food restaurant.The coll was purified through a #200 sieve (0.075 mm) [13].Table 1.Properties of virgin asphalt binder as collected from the supplier.

S.N Characteristics Test Method Control Limits Results
1 Penetration at 25
The IDEAL and High-IDT were performed following ASTM D8225 and the Virginia Department of Transportation (VDOT) recommended procedures by Boz et al. [56], respectively.Both tests involve the application of a constant axial rate of 50 mm/min on the test specimen.The test temperatures were 25 °C and 54.4 °C for the IDEAL and High-IDT, respectively.The load and displacement measurements are gathered throughout the experiment in order to produce the Load-Displacement (L-D) relationship.
The BMD implements the performance assessment specifications to assess mixture performance.It is defined as "pre-determined thresholds/limits that need to be achieved for a given performance indicator obtained from a given performance assessment test to assess mix resistance to a specific distress" [48].Several thresholds were proposed for
The IDEAL and High-IDT were performed following ASTM D8225 and the Virginia Department of Transportation (VDOT) recommended procedures by Boz et al. [56], respectively.Both tests involve the application of a constant axial rate of 50 mm/min on the test specimen.The test temperatures were 25 • C and 54.4 • C for the IDEAL and High-IDT, respectively.The load and displacement measurements are gathered throughout the experiment in order to produce the Load-Displacement (L-D) relationship.
The BMD implements the performance assessment specifications to assess mixture performance.It is defined as "pre-determined thresholds/limits that need to be achieved for a given performance indicator obtained from a given performance assessment test to assess mix resistance to a specific distress" [48].Several thresholds were proposed for CT Index and HI-IDT Strength indicators [48,78,79].In this study, a mixture shall have a minimum value of 26.4 and 110 KPa of CT Index and HI-IDT Strength , respectively, to be approved [48,56].
where IDEAL − CT Index is the IDEAL cracking test index indicator, G Total Fracture is the total fracture energy (J/m 2 ), m Postpeak 75% and L Postpeak 75% are the slope and deformation (displacement) at 75% of the maximum (peak) load on the post-peak curve, respectively.P 65% and L 65% are the load and deformation (displacement) at 65% of the maximum (peak) load on the post-peak curve, respectively.P 85% and L 85% are the load and deformation (displacement) at 85% of the maximum (peak) load on the post-peak curve, respectively.H I − IDT Strength is the tensile strength (kPa), P 100% is the peak (maximum) applied load (KN) on the test specimen (curve peak), and t and D are specimen thickness (mm) and diameter (mm), respectively.

WCO-Modified Binder Preparation
In this study, the virgin binder (i.e., 85/100) and the filtered WCO oil were heated in the oven to 145 • C. The WCO oil was heated to remove the moisture completely [80].Next, the required amount of binder was poured into a container and placed on a hot plate.The filtered WCO was progressively added and mixed to the virgin binder using a high-shear mixer.The mixing was performed at a constant speed of 1600 rpm for 10 min at 145 • C. Later, the modified binder was used to prepare the modified asphalt mixtures.

Specimen Preparation, Conditioning, and Testing
The unmodified mixtures were prepared by mixing the raw materials (i.e., virgin binder and aggregates) using a planetary mixer at the specified laboratory mixing temperature of 165 • C. Loose samples were scooped from the prepared mixtures to measure the theoretical maximum specific gravity (G mm ) following AASHTO T 209 [81].The remaining materials were short-term aged following AASHTO R30 [82], then compacted using a SuperPave gyratory compactor.The fabricated test specimens were 150 mm in diameter by 62 mm in height for both tests.At least two specimens have been fabricated for each test.After that, the bulk specific gravity (G mb ) was measured following AASHTO T312 [83].Later, specimens were checked to achieve the target air void content (i.e., 7 ± 1.5%).Then, it was conditioned at the desired testing temperature (i.e., 25 • C and 54.5 • C for IDEAL and High-IDT, respectively) for 2 h ± 10 min before testing.Finally, the specimens were tested at a 50 mm/min loading rate using Marshall testing equipment.
A similar approach has been followed for the modified WCO asphalt mixtures, except for replacing the virgin binder with the modified WCO asphalt binder.The literature review showed that researchers prepared the modified binder by mixing the required dosage of WCO oil with the virgin binder using a high-shear mixer.However, it was conducted at varied speed (200-4000 revolutions per minute (rpm)), time (15-120 min), and temperature (120-190 • C) [22,26].

Designing Balanced Asphalt Mixture (BMD)
The Balanced Asphalt Mixture (BMD) design approach is a meticulous process encompassing several stages, including material characterization, performance testing, mixture optimization, and validation [30].The primary objective of this methodology is to en-sure that asphalt mixtures exhibit the desired performance characteristics.This process begins with a comprehensive evaluation of raw materials, particularly asphalt binders and aggregates, to determine their mechanical and physical properties.Afterward, labbased performance assessment tests and indicators are carried out to assess the resistance of asphalt mixtures to various types of distress, such as rutting, cracking, and moisture damage [30].
The information obtained from material characterization and performance testing is then utilized in the optimization phase of BMD.This phase identifies the range of binder content that yields the desired performance characteristics.Following this approach, asphalt mixtures can be optimized to achieve the desired performance characteristics while meeting the relevant specifications and standards.Four different approaches were proposed to implement the BMD method, namely (A) Volumetric Design with Performance Verification, (B) Volumetric Design with Performance Optimization, (C) Performancemodified Volumetric Design, and (D) Performance Design [30,84].
This study followed approach "D", which starts with an initial selection of virgin binder grade and aggregate gradation.Then, the performance of the initial mix design is evaluated at three or more binder contents varied in increments of 0.3 to 0.5%.Firstly, several mixtures were prepared by mixing the selected virgin binder (85/100) and aggregate gradation (Figure 2) at four different binder contents (i.e., 4.0, 4.5, 5.5, and 6.0%).Then, the test specimens were prepared and tested to evaluate the prepared mixtures' performance (i.e., cracking and rutting resistance) using CT Index and HI-IDT Strength indicators.
Figure 3 presents the testing results of prepared asphalt mixtures.It can be observed that CT Index and HI-IDT Strength indicators increased and decreased, respectively, with the increase in binder content.Both indicators have an excellent linear relationship with the variation binder content (i.e., coefficient of determination (R 2 ) of 0.97).These findings agree with the reported results in the literature [43,56].Such relationships indicated that the CT Index is increased by 59.2 (i.e., CT Index = 5923.69 [Pb%] − 233.68), and the HI-IDT Strength is decreased by −47.7 KPa (i.e., HI-IDT Strength = −4776.36[Pb%] + 352.38) for each 1% increment in binder content.
CT Index and HI-IDT Strength assessment thresholds were used to determine the balanced binder content range.The rutting threshold for HI-IDT Strength (i.e., a minimum of 110 KPa) was used to determine the maximum accepted binder content since increased binder content declined mixture resistance to rutting.It was observed that a binder content of 5.1% satisfies this threshold.Similarly, the cracking threshold for CT Index (i.e., a minimum of 26.4) was used to determine the minimum required binder content since the decrease in the binder content declined mixture resistance to cracking.It was observed that a binder content of 4.4% satisfies this threshold.Therefore, the designed balanced binder range was 4.4-5.1%.The Balanced Optimum Binder Content (BOBC) was selected as the midpoint of this range (i.e., 4.75%) (Figure 3).

Performance Assessment of Waste Cooking Oil on Balanced Asphalt Mixtures
In this study, the IDEAL and High-IDT tests were used to investigate the impact of Waste Cooking Oil (WCO) on the performance of asphalt mixtures.The virgin binder was modified by adding the WCO at three different dosages (i.e., 3, 5, and 7% by the weight of the binder).In addition, the performance of unmodified binder (i.e., 0% WCO) asphalt mixture was tested.It was used to verify the performance of the selected BOBC (i.e., 4.75%) and to examine the influence of WCO on the performance of a balanced mixture.
In addition, a statistical examination was conducted to analyze the type, magnitude, and importance impact of the WCO modification on cracking and rutting indicators (i.e., CT Index and HI-IDT Strength ).This study employed three distinct analysis modes: regression analysis, Analysis of Variance (ANOVA), and Tukey's range test (HSD).ANOVA and Tukey's tests were both performed with a confidence level of 95% (i.e., a = 0.05).Furthermore, the strength of the relationship was determined by utilizing the coefficient of determination (R 2 ).Additionally, the repeatability and reliability of testing results were examined using the Coefficient of Variation (COV) [85].

Performance Assessment of Waste Cooking Oil on Balanced Asphalt Mixtures
In this study, the IDEAL and High-IDT tests were used to investigate the impact of Waste Cooking Oil (WCO) on the performance of asphalt mixtures.The virgin binder was modified by adding the WCO at three different dosages (i.e., 3, 5, and 7% by the weight of the binder).In addition, the performance of unmodified binder (i.e., 0% WCO) asphalt mixture was tested.It was used to verify the performance of the selected BOBC (i.e., 4.75%) and to examine the influence of WCO on the performance of a balanced mixture.
In addition, a statistical examination was conducted to analyze the type, magnitude, and importance impact of the WCO modification on cracking and rutting indicators (i.e., CTIndex and HI-IDTStrength).This study employed three distinct analysis modes: regression analysis, Analysis of Variance (ANOVA), and Tukey's range test (HSD).ANOVA and Tukey's tests were both performed with a confidence level of 95% (i.e., a = 0.05).Furthermore, the strength of the relationship was determined by utilizing the coefficient of determination (R 2 ).Additionally, the repeatability and reliability of testing results were examined using the Coefficient of Variation (COV) [85].

Cracking Performance Evaluation of WCO-Modified Asphalt Mixture
Figure 4 presents the average results of CTIndex for all tested specimens with the cracking threshold (i.e., a minimum of 26.4).The error bars indicate a plus/minus one standard deviation.It can be observed that the control mixture (i.e., 0% WCO) had an average CTIndex of 29.7, which satisfies the performance threshold.The data showed that CTIndex has an excellent direct linear relationship (i.e., CTIndex = 315.99[WCO%] + 31.03) with the variation WCO dosage (i.e., R 2

Cracking Performance Evaluation of WCO-Modified Asphalt Mixture
Figure 4 presents the average results of CT Index for all tested specimens with the cracking threshold (i.e., a minimum of 26.4).The error bars indicate a plus/minus one standard deviation.It can be observed that the control mixture (i.e., 0% WCO) had an average CT Index of 29.7, which satisfies the performance threshold.The data showed that CT Index has an excellent direct linear relationship (i.e., CT Index = 315.99[WCO%] + 31.03) with the variation WCO dosage (i.e., R 2 of 0.87).Such relationships indicated that CT Index increased by 3.15 for each 1% increment in WCO dosage.The WCO dosages of 0%, 2%, 3%, 4%, 5%, and 7% had CT Index of 29.7, 42.5, 38,0, 42.8, 44.5, and 54.8, respectively.Such findings indicate that the mixture resistance to cracking improved with the increment in WCO dosages.ANOVA and Tukey's analysis indicated a statistically significant difference between the control and modified mixtures with high WCO dosages (e.g., 5% and 7%).Furthermore, the data showed a low variability with an average COV of less than 15%.This finding agrees with reported results in the literature [24,86,87].and Tukey's analysis indicated a statistically significant difference between the control and modified mixtures with high WCO dosages (e.g., 5% and 7%).Furthermore, the data showed a low variability with an average COV of less than 15%.This finding agrees with reported results in the literature [24,86,87].

Rutting Performance Evaluation of WCO-Modified Asphalt
Figure 5 presents the mean results of HI-IDT Strength with the rutting threshold (i.e., a minimum of 110 KPa).The error bars indicate a plus/minus one standard deviation.It can be observed that the control mixture (i.e., 0% WCO) had an average HI-IDT Strength of 114 KPa, which satisfies the performance threshold.The data showed that HI-IDT Strength has a good indirect linear relationship (i.e., HI-IDT Strength = −1020[WCO%] + 96.78) with the variation WCO dosage (i.e., R 2 of 0.73).Such relationships indicated that HI-IDT Strength decreased by 10.20 KPa for each 1% increment in WCO dosage.The WCO dosages of 0%, 2%, 3%, 4%, 5%, and 7% had HI-IDT Strength of 114. 7, 65.8, 54.6, 48.4, 43.6, and 39.0, respectively.Such findings indicate that mixture resistance to rutting declined with the increment in WCO dosages.ANOVA and Tukey's tests revealed a statistically significant discrepancy between the control mixture and all modified mixtures.However, no significant difference existed between consecutive WCO dosages (i.e., 2% vs. 3% vs. 4% vs. 5% vs. 7%).Furthermore, the data showed a low variability (i.e., average COV less than 15%).This finding agrees with reported results in the literature [24,86,87].

Impact of WCO on Overall Performance of Balanced Asphalt Mixture
The variation in the overall performance of WCO-modified asphalt mixtures can be examined using the interaction plot.It defines the overall mixture performance by four quadrants: stiff and brittle, stiff and flexible, soft and flexible, and soft and unstable [40].Stiff and brittle mixtures are expected to have poor cracking resistance (i.e., low CT Index ) but good rutting resistance (i.e., high HI-IDT Strength ).Stiff and flexible mixtures are expected to have good cracking and rutting resistance.Soft and flexible mixtures have good cracking resistance but poor rutting resistance.The soft and unstable mixtures have very poor cracking and rutting resistance.
The authors created an interaction plot between the CT Index and HI-IDT Strength for the tested mixtures, as presented in Figure 6.The CT Index and HI-IDT Strength values are shown in the X and Y axes, respectively, along with their associated pass/fail performance assessment thresholds.Stiff and brittle mixtures are expected to have CT Index < 26.4 and HI-IDT Strength >110 KPa (i.e., poor and good cracking rutting resistance, respectively).Stiff and flexible mixtures are expected to have CT Index > 26.4 and high HI-IDT Strength > 110 KPa.
Soft and Flexible mixtures have CT Index > 26.4 and HI-IDT Strength < 110Kpa, while the soft and unstable mixtures have CT Index < 26.4 and HI-IDT Strength < 110Kpa.The designed mixture was designed as stiff and flexible mixtures to satisfy the BMD requirements (i.e., the green area).

Impact of WCO on Overall Performance of Balanced Asphalt Mixture
The variation in the overall performance of WCO-modified asphalt mixtures can be examined using the interaction plot.It defines the overall mixture performance by four quadrants: stiff and brittle, stiff and flexible, soft and flexible, and soft and unstable [40].Stiff and brittle mixtures are expected to have poor cracking resistance (i.e., low CTIndex) but good rutting resistance (i.e., high HI-IDTStrength).Stiff and flexible mixtures are expected to have good cracking and rutting resistance.Soft and flexible mixtures have good cracking resistance but poor rutting resistance.The soft and unstable mixtures have very poor cracking and rutting resistance.
The authors created an interaction plot between the CTIndex and HI-IDTStrength for the tested mixtures, as presented in Figure 6.The CTIndex and HI-IDTStrength values are shown in the X and Y axes, respectively, along with their associated pass/fail performance assessment thresholds.Stiff and brittle mixtures are expected to have CTIndex < 26.4 and HI-IDTStrength >110 KPa (i.e., poor and good cracking rutting resistance, respectively).Stiff and flexible mixtures are expected to have CTIndex > 26.4 and high HI-IDTStrength > 110 KPa.Soft and Flexible mixtures have CTIndex > 26.4 and HI-IDTStrength < 110Kpa, while the soft and unstable mixtures have CTIndex < 26.4 and HI-IDTStrength < 110Kpa.The designed mixture was designed as stiff and flexible mixtures to satisfy the BMD requirements (i.e., the green area).The interaction plot is used to study the overall performance of a given mixture and to track the effect of variation in mix proportions (i.e., binder content) or modifier dosage (i.e., WCO oil) on mixture performance.It can be observed that the performance control mixture (i.e., unmodified [0% WCO]) was stiff and flexible, which had a good rutting and cracking resistance.The increase in WCO dosage improves the mixture's resistance to cracking resistance but declines its resistance to rutting.A significant effect can be ob-  The interaction plot is used to study the overall performance of a given mixture and to track the effect of variation in mix proportions (i.e., binder content) or modifier dosage (i.e., WCO oil) on mixture performance.It can be observed that the performance control mixture (i.e., unmodified [0% WCO]) was stiff and flexible, which had a good rutting and cracking resistance.The increase in WCO dosage improves the mixture's resistance to cracking resistance but declines its resistance to rutting.A significant effect can be observed at high WCO dosages.For instance, the modified mixture with 7% WCO increases the cracking resistance of the control mixture by 85% (i.e., from 29.7 to 54.8) but decreases its rutting resistance by 66% (from 114 KPa to 39 KPa).
The variation trend indicates that the mixture becomes softer and more flexible with the increase in WCO dosage, as evidenced by its movement to the lower left quadrant (Figure 6).Thus, the designed balanced control mixture becomes unbalanced when using WCO oil at any dosage.Therefore, it shall be redesigned to account for the WCO effect.
Several approaches can be implemented to adjust the mixture performance.For example, it is well known that the overall mixture performance relies on the proportions and properties of raw materials.Therefore, adjusting such properties of the control asphalt mixture would address the effect of WCO oil.For instance, performing the following modification would enhance asphalt mixture resistance to rutting using lower binder content, harder virgin binder, higher filler content, higher coarse and fine aggregate angularity, stronger aggregates, higher surface texture aggregates, more cubical shape aggregates, larger nominal maximum aggregate size, higher recycled asphalt pavement content (RAP) [88].

Conclusions and Recommendations
The main goal of this research is to assess the performance of Waste Cooking Oil (WCO)-modified asphalt mixtures using the Balanced Mix Design (BMD) approach.The following conclusions can be made:

•
Mixture resistance to cracking was improved with the increment in WCO dosages.CT Index has an excellent direct linear relationship with the variation WCO dosage (i.e., R 2 of 0.87).A statistically significant discrepancy was found between the control and modified mixtures with high WCO dosages (e.g., 5% and 7%).• HI-IDT Strength has a good indirect linear relationship with the variation WCO dosage (i.e., R 2 of 0.79).A statistically significant discrepancy was found between the control mixture and all modified mixtures.• WCO was able to improve the cracking resistance of the control balanced mixture, but it declined its resistance to rutting.However, a significant effect can be observed at high WCO dosages.For instance, the modified mixture with 7% WCO increases the cracking resistance of the control mixture by 85% (i.e., from 29.7 to 54.8) but decreases its rutting resistance by 66% (from 114 KPa to 39 KPa).• The interaction plot indicates that the overall performance of WCO-modified asphalt becomes softer and more flexible with the increase in WCO dosage.Thus, the designed balanced control mixture becomes unbalanced when using WCO oil at any dosage.

•
Future research is recommended to investigate the ability to use a compound modifier consisting of WCO with other waste modifiers (e.g., ground tire rubber, plastic) to reduce its negative impact on mixture rutting resistance.Such an approach would lead to a more economically balanced WCO-modified balance asphalt mixture.
• WCO enhanced mixture resistance to cracking; thus, the authors recommend further investigating the potential of using WCO as a rejuvenator for asphalt mixtures modified with Recycled Asphalt Pavement (RAP) or Recycled Asphalt Shingles (RAS).

Figure 6 .
Figure 6.Interaction plot between CTIndex and HI-IDTStrength for the evaluated mixtures.

Figure 6 .
Figure 6.Interaction plot between CT Index and HI-IDT Strength for the evaluated mixtures.

Table 1 .
Properties of virgin asphalt binder as collected from the supplier.