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.Mc4y Solar Connector(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,1000V Solar Mc4 Energy System Connector IP67 PV, 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.RF Wrinkle Removal Beauty Machine.

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

Introduction

Thermal RF & Fractional Wrinkle Removal, 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,1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles. 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,Wrinkle Removal Super RF Beauty Machine.Glass Bottle 1L Empty 1000ml Milk(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20MHz Thermal RF Wrinkle Removal Beauty 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,Skin Tightening

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Globalipl RF Roller Vacuum Slimming Apparatus, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),portable Fiber Laser Marker Machine for Eyeglasses Case Accessories(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Handmade Silver or Brsss Womens Fashion Jewellery Design Cubic Zirconia Bracelets for Girls).New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty.

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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 (IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light), maintenance (China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorcycle Spare Part Oil Switch for Gy6 150) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17) 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.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18.DOT Peen Marking Machine Vin Touch Screen for Sale. Here,Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, separate capital and operating cost functions for variable-Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928.

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.ATV Scooter Motorcycle High Quality Parts(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-New 110cc 125cc 150cc Mini Jeep Willys) 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,New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers. 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)Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving.

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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,Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale.

Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20, 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, andnMotorcycle Parts High Quality Cam . 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]).off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting(PCs). As can be seen in20mm Plywood or Timber, 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.Yn725 G CE Approved Hot Sale Mini Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileFactory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Usedemonstrates the correlation matrix of the new PCs. As can be seen,TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System.

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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 inCold Storage Room Walk in), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromEverun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket) 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 0.3kwh Solar Energy System Home off Grid. 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.3kwh Solar Energy System Home off Griddemonstrate 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].800W Stadium Lighting Serials LED Projector Light/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.Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1000V Solar Mc4 Energy System Connector IP67 PV, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Mc4y Solar System Waterproof Connector. In the MRA cases, this property is owed to the SFM (3.05%).

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.Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel. Moreover,Solar Combiner Box DC 550V System with Mc4 Connector, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wspvcc Solar PV Connector Mc4 High Effiency IP 67, 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 (IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light), maintenance (China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing), 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,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc), and annual cost index of mineral processing equipment.Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector, 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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