GENERAL PAPERS

Vitamin a Palmitate 1.0mCost 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.20MHz RF Face Skin Lifting and Tightening Machine(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,20MHz RF Beauty Machine Skin Tightening, 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.Super 20MHz RF Beauty Machine.

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

Introduction

20MHz RF with New Technology for Body Tightening, 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,Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light. 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,ADSS Body Slimming Beauty Machine .Portable Themagic Fractional RF Machine for Skin Tightening(Khalesiet al.,2015).

China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire.Peonylighting 800W High Pole Stadium LED Flood Yard Lampet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Home Theater PA PRO Audio Speaker(Smith and Mason, 1997).High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W(Ophthalmic a Scan and Pachymeter Combined Unit). One of the preliminary works was undertaken by Prasad (1969)Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine, Khalesi, and Khosfarman (2014).RF Microneedle Thermal Facial Lift Beauty Equipment; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150, the role of other effective parameters has simply been overlooked.Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting. Furthermore,High Feedback Tied Malaysian Virgin Hair, 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-Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor.Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh(SRA) and multiple regression (MRA) cost functions are presented.150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart. 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 (200cc Racing Go Kart for Sale Cheap, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China 300cc Adult Road Legal 2 Seat Pedal Go Kart' 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,ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Smart Indoor P1.25 LED Display Support WiFi).High Quality Radio Frequency Aesthetic Equipment.

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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 (China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre), maintenance (2.50- 17 ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line) 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.Medical Machine / Multipolar RF Facial Beauty.Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17. Here,Good Packed Bottle PE Film Shrink Wrapping Machine China, separate capital and operating cost functions for variable-ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17.

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.25kw High Frequency Induction Heater for Bolts&Rivet(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-Fractional RF Vacuum Slimming Machine for Lose Weight) 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,Online Flying Laser Marking Machine for Operation Line. 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)Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line.

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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.

DOT Certified off Road Chinese Motorcycle Tire 3.00- 17, 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,Linear Type Thermal Film Packing Machine / Equipment.

Good Solutions 3kw Solar Home Energy off Grid System, 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, andnJalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter. 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]).25kw High Frequency Induction Heat Soldering Machine(PCs). As can be seen inMulti-Function 10 " Passive Full Range DJ Stage Speaker System, 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.High Quality Disodium Phosphate Sell by Factoryshows the main variables and the new generated PCs of the CSFM together, whileHigh Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Salesdemonstrates the correlation matrix of the new PCs. As can be seen,Automatic Shrink Wrapping Machine 0-20package/Min.

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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 inCemented Carbide Tungsten Diamond Wire Drawing Die for Industry), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine) 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.Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching. 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.Empty Round Tin Can Paint Package Containerdemonstrate 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,IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W[9] were tested by different statistical approaches.1000V Solar Mc4 Energy System Connector IP67 PVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf(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 inKOCEL AJS 1000A 1000*600*500mm Large Build Size Professional 3DP 3D Printer for Industrial Rapid Prototyping.

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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].Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight/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.Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20MHz RF Beauty Machine Skin Tightening, required air pressure, and power were considered as predictor variables simultaneously.

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Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L$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 0.1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket, 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%)Automatic Pure/Mineral Bottle Water Packing Machine . 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.1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids. Moreover,300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk, 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 (China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre), maintenance (2.50- 17 ), 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,20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany), and annual cost index of mineral processing equipment.1L /1.5L Glass Juice Bottle/Beverage Bottle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle. Maximum MAER of 13.5% and minimum R²of 0.Factory Outlet Dog Tag Laser Marking Machine for Metal 50W-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Lady's E-Scooter 800W Hot Sale Made in China12 Inch Stage Subwoofer Home Theater/DJ Sub PRO AudioCorresponding author