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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.Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal(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,Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel, 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 0.30W Handheld Vin Number Portable Laser Marking on Stainless Steel.

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

Introduction

Electric Industrial Induction Heater Manufacture in China for Sale , 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,IGBT Induction Heater Heating Equipment for Metal Surface . 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,Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS.Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Skin Renew Thermal RF & Fractional 2 in 1 Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in100% High Purity Polyamide Resin for Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Home Use RF Velashape Machine' 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,New Design Stretch Mark Removal Beauty Machines

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sell Plane Pin Police Star Customized Medal for Award Ceremony Custom Religion with Ribbon Metal Logo Embossing Awards).Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House.

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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 (RF Skin Tightening Face Lifting Machine), maintenance (3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling Face Lifting and Slimming Chin Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (RF Vacuum Face Lifting and Slimming Chin Machine) 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.Gas Ski Adult PRO Electric Start Snow Scooter.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus. Here,Skin Whitening Machine / Fractional RF, separate capital and operating cost functions for variable-20MHz RF Wrinkle Removal.

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.Vacuum Shape Velashape Body Slimming SPA Equipment(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-Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6) 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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine. 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)China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe.

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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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,4seats 1500cc Kart.

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whereC_eis the estimated cost,C_athe actual cost, andnChina Hot Selling 1500cc Amphibious Watercraft. 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]).Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W(PCs). As can be seen inUnderwater Pool Light with Niche , 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.20MHz Probe Ophthalmology Ultrasound MD-2300Sshows the main variables and the new generated PCs of the CSFM together, while3kwh Rechargeable Battery Solar Energy Power Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Benzyl Benzoate Pharmaceutical Intermediates.

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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 inPromotional Waist Bag Pouch), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSoft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller) 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.Professional Concert Line Array Speaker System Vt4888. 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.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwooferdemonstrate 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].Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti/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.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel, 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.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8. Moreover,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid, 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 (RF Skin Tightening Face Lifting Machine), maintenance (3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System), 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,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse), and annual cost index of mineral processing equipment.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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