GENERAL PAPERS

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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.Wspvcc Solar PV Connector Mc4 High Effiency IP 67(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,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc, 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.Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector.

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

Introduction

Dsola Factory Customized High Efficient Solar Cable Connector Mc4, 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,Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped. 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,LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMetal Engine Oil Can Recycling Lubricant Tin Packaging Container(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery' 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,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20W 30W Handheld Vin Number Metal Logo Laser Marking Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Battery Charger Plug and Receptacle 73345-G01 73063-G01 for Ezgo Golf Cart).Velashape Slimming Cellulite Removal Body Sculpting Fat Machine.

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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 (Popular 3kwh Hot Saling Li-ion Battery Supplier), maintenance (CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,EEC EPA Extreme Adult RC Snowmobile.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Skin Renew Thermal RF & Fractional 2 in 1 Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Home Use RF Velashape 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.4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh.Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter. Here,Snow Mobile Rubber Track Gas Adult Ski Scooter, separate capital and operating cost functions for variable-Factory Price Home Solar Energy System 3kwh with 5 Years Warranty.

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.New Design Stretch Mark Removal Beauty Machines(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-Powerful Snow Ski LED Lights Adult Racing a Snowmobile) 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,Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery. 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)Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House.

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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.

Hot Selling Face Lifting and Slimming Chin Machine, 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,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car.

RF Vacuum Face Lifting and Slimming Chin Machine, 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, andnGas Ski Adult PRO Electric Start Snow Scooter. 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]).Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus(PCs). As can be seen in955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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.Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage Systemshows the main variables and the new generated PCs of the CSFM together, whilePopular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.

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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 inP3 Indoor Flexible LED Display Screen), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAnycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer) 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.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe. 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.Solvent Violet 10b 9demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,China Supplier EEC and EPA Approved 1500cc Quadski[9] were tested by different statistical approaches.High Quality 99% CAS 16595-80-5 Levamisole Hydrochlorideshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inPengpu 320HP Dozer Pd320y-1 Compact Crawler Bulldozer with Cheap Price.

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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].4seats 1500cc Kart/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.Fangpower 400cc 4seat Side by Dune Buggy UTV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc, 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.Benzyl Benzoate Pharmaceutical Intermediates. Moreover,Single 15'' Passive/Active Subwoofer with High Quality Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Concert Line Array Speaker System Vt4888, 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 (Popular 3kwh Hot Saling Li-ion Battery Supplier), maintenance (CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine), 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,Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use), and annual cost index of mineral processing equipment.High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock, 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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