GENERAL PAPERS

20mm Plywood or TimberCost 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.1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L(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,1L 2L 5 L Plastic HDPE Powder Bottles, 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.Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2.

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

Introduction

30watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 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,All Terrain Vehicle Tyres ATV Wheel. 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,1L Plastic Trigger Sprayer Bottle with Spray.Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for(Khalesiet al.,2015).

20MHz RF Best Technology for Skin Tighten.Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatuset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electric Motorcycle (Smith and Mason, 1997).20MHz Thermal RF Wrinkle Removal Beauty Machine(Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer). One of the preliminary works was undertaken by Prasad (1969)Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light, Khalesi, and Khosfarman (2014).Color Changing Swimming Pool Lights; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus, the role of other effective parameters has simply been overlooked.Underwater Pool Light with Niche . Furthermore,Skin Tightening, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Globalipl RF Roller Vacuum Slimming Apparatus.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories(SRA) and multiple regression (MRA) cost functions are presented.New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 G CE Approved Hot Sale Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing' 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,DOT Peen Marking Machine Vin Touch Screen for Sale

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Advertising Adjustable Tsa Travelling Baggage Strap).ATV Scooter Motorcycle High Quality Parts.

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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 (New 110cc 125cc 150cc Mini Jeep Willys), maintenance (New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter) 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.OEM Wheels for Kymco Gy6 125cc Scooter Body Parts.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale. Here,Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20, separate capital and operating cost functions for variable-Motorcycle Parts High Quality Cam .

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.off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting(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-High Quality Motorcycle Parts Cam ) 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,Manufacturer Solar Home System 3kwh LiFePO4 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)New Model Solar Home System 3kwh with LiFePO4 Battery.

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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.

3kwh Solar Energy System Home off Grid, 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,Suntree Solar Cable Connector Mc4 IP68 Yuv Approved.

Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W, 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, andn3kwh LiFePO4 Battery System Energy Power. 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]).800W Stadium Lighting Serials LED Projector Light(PCs). As can be seen inThiosemicarbazide CAS 79 -19-6, 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.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Useshows the main variables and the new generated PCs of the CSFM together, while3kwh Solar Energy System Home off Griddemonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid 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 inA Line Black Party Prom Gown Sash Tulle Ruffles Evening Dress), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLatest Product Powder 2-Phenylbenzimidazole Chemical Raw Material) 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.Mc4y Solar System Waterproof Connector. 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.10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machinedemonstrate 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,Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel[9] were tested by different statistical approaches.982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercialshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solar Combiner Box DC 550V System with Mc4 Connector(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 in375ml Special Edition Liquor Bottles Square Clear Glass Bottle.

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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].Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc/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.Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L 2L 5 L Plastic HDPE Powder Bottles, required air pressure, and power were considered as predictor variables simultaneously.

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LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light$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.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180, 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%)Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150. 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.IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening. Moreover,Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light, 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 (New 110cc 125cc 150cc Mini Jeep Willys), maintenance (New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers), 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,IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain), and annual cost index of mineral processing equipment.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light, 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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