This paper predicts the resilient modulus (Mr) for warm mix asphalt (WMA) mixtures prepared using aspha-min. Various predictor variables were analyzed, including asphalt cement types, asphalt contents, nominal maximum aggregate sizes (NMAS), filler content, test temperatures, and loading times. Univariate and multivariate analyses were conducted to examine the behavior of each predictor variable individually and collectively. Through univariate analysis, it was observed that Mr exhibited an inverse trend with asphalt cement grade, NMAS, test temperature, and load duration. Although Mr increased slightly with higher filler and asphalt content, the magnitude of this increase was minimal. Multivariate analysis revealed that the rate of change of Mr was highly dependent on NMAS and the thermo-rheological properties of the asphalt cement. Initially, a linear regression model was developed; however, it underestimated low Mr values and overestimated high Mr values. Moreover, the linear model resulted in negative Mr values, indicating an inadequate representation of the relationship between Mr and predictor variables. Consequently, a nonlinear transformed regression framework was employed to develop an equation that more accurately predicted the Mr values of WMA mixtures. The resulting predictive model exhibited a coefficient of determination (R2) of approximately 95 %. To validate the effectiveness of the proposed model, the remaining 30 % of the test data was utilized. The results demonstrated that the developed model effectively represented the observed data not used during the model-building process. This validation was supported by an R2 of 95.8 % between the predicted and measured Mr values of WMA mixtures.
Recently, the financial mathematics has been emerged to interpret and predict the underlying mechanism that generates an incident of concern. A system of differential equations can reveal a dynamical development of financial mechanism across time. Multivariate wiener process represents the stochastic term in a system of stochastic differential equations (SDE). The standard wiener process follows a Markov chain, and hence it is a martingale (kind of Markov chain), which is a good integrator. Though, the fractional Wiener process does not follow a Markov chain, hence it is not a good integrator. This problem will produce an Arbitrage (non-equilibrium in the market) in the predicted series. It is undesired property that leads to erroneous conc
... Show MoreIn the present work a modification was made on three equations to represent the
experiment data which results for Iraqi petroleum and natural asphalt. The equations
have been developed for estimating the chemical composition and physical properties
of asphalt cement at different temperature and aging time. The standard deviations of
all equations were calculated.
The modified correlation related to the aging time and temperature with penetration
index and durability index of aged petroleum and natural asphalts were developed.
The first equation represents the relationship between the durability index with aging
time and temperature.
loge(DI)=a1+0.0123(2loge T
... Show MoreThe general aim of an experimental design in this paper was to estimate the different treatments effects on the responses by statistical methods. The estimates must be averting biases and the random errors minimized as much as possible. We used multivariate analysis of variance (MANOVA) to analyze design of experiments for several responses. In this paper, we provided three fertilizers (mineral, humic, micro-elements) applied on Yellow Maize experiment. This experiment was conducted by completely randomized design (CRD). We tested four responses (Chlorophyll in paper, total ton / ha, paper area / cm2 and plant height / cm) together to find significant test between them. The partial correlations are between Chlorophyll in paper and total ton
... Show MoreThe Asphalt cement is produced as a by-product from the oil industry; the asphalt must practice further processing to control the percentage of its different ingredients so that it will be suitable for paving process. The objective of this work is to prepare different types of modified Asphalt cement using locally available additives, and subjecting the prepared modified Asphalt cement to testing procedures usually adopted for Asphalt cement, and compare the test results with the specification requirements for the modified Asphalt cement to fulfill the paving process requirements. An attempt was made to prepare the modified Asphalt cement for pavement construction in the laboratory by digesting each of the two penetration grade Asphalt c
... Show MoreThe mix promotion important to any organization in general, has been selected promotional mix tools in this research to identify the role in maximizing the Organization of sales growth business, which included the research problem several fundamental questions about the role of each promotional tool of advertising, public relations and personal selling and sales promotion direct marketing within the promotional mix in the promotion of business sales organization. The research aims to provide theoretical and field organizations surveyed about the role played by the mix promo in sales growth, and importance of research on the identification of more than promotional tools impact on sales gr
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