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150cc 4-StrokeCost modelling for flotation machines

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Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Single 15'' Sub Bass to U Series Full Range Speaker(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Benzyl Benzoate Pharmaceutical Intermediates, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.Single 15'' Passive/Active Subwoofer with High Quality Plywood.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Professional Concert Line Array Speaker System Vt4888, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock.95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSGS Food Grade Certification 500ml Tin Containers Olive Oil Can(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Diclofenac Sodium Powder

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Supplier IP44 16 AMP 250V Schuko Socket From Qixing Company).Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa), maintenance (320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PRO Audio Accessories of Line Array Rigging K1 .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5.Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6. Here,190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824, separate capital and operating cost functions for variable-Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Birch Plywood 2-Way Crossover Passive Loudspeaker (SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Srx715 High Quality Neodymium PRO Audio) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Kf760 Line Array System for Outdoor Concert. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker.

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whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio.

GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnChina Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(PCs). As can be seen inHot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chipshows the main variables and the new generated PCs of the CSFM together, whileGas Powered Adult Tricycle Motor Farmdemonstrates the correlation matrix of the new PCs. As can be seen,Shiny Fenacetin Crystal and Non Powder.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inLong Lasting Scent Perfume Warehouse with Factory Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRaw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensordemonstrate results for the machines modelled in this research.

Multiple regression results

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Hot Sell Isopropyl Alcohol 99.9%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Benzyl Benzoate Pharmaceutical Intermediates, required air pressure, and power were considered as predictor variables simultaneously.

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Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk. Moreover,Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa), maintenance (320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Factory Price Diethyl 2), and annual cost index of mineral processing equipment.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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