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.12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty(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,Yn725 Yineng Mini Wheel Loader 25kw, 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.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe.

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

Introduction

Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine, 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,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool 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,12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Flying Online Fiber Laser Marking Machine with Conveyor Belt, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWaterproof Floor Standing Alone Outdoor Digital Signage(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate' 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,IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100W Full Enclosed Fiber Laser Marking Machine with Safe Cover(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V/24V Neon LED with Colorful PVC Cover).20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser.

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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 (for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000), maintenance (600W- 800W 48V/60V Lead-Acid Battery Electric Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Selling Electric Scooter Mini 800W .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc Automatic Racing Sports Exclusive Design ATV ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Cheap 200cc and 150cc Farm Utility ATV) 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.1GHz Outdoor Bi-Directional CATV Amplifier.New Mini Willys Jeep Available on 110cc. Here,Hot Sell 800W Delivery City Electric Scooter for Take-out Business, separate capital and operating cost functions for variable-2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric.

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.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe(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-3kw Liquid Cooling UHF Digital TV Transmitter DTV) 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,He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter. 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)IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner.

Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bi-Directional Transmission Distribution Amplifier SA822, Khalesi, and Khosfarman, 2014).

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.

Encryption Ts Satellite IRD, 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,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods.

Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike, 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, andn2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad. 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]).Closed Canvas Box 2 Ton Cargo Tricycle(PCs). As can be seen inSimple Design Bedroom Furniture L-Shaped Movable Corner Sofa Set with Table, 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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New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale(CSFM) is presented here as an example.18" Die Cast P-Auido Style Aluminum Frameillustrates the high correlation between predictor variables for the CSFM.

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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.800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileWhite Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anestheticdemonstrates the correlation matrix of the new PCs. As can be seen,250cc Oil Cooling Dirt Bike with EPA.

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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 inFashion Baby Knitted Pullover with Cotton Nylon Mix for School Clothes), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal) 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 0.250cc Gasoline off Road Motorbike. 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.Indoor DJ Stage Two Way Active Line Array Cabinet Boxdemonstrate 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,0.6m 5GHz Parabolic Antenna with Gain 28dBi[9] were tested by different statistical approaches.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(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 inGranite.

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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].4 Stroke Buggy 150cc ATV/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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 Yineng Mini Wheel Loader 25kw, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty$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 0.0.4m 5GHz Parabolic Antenna with Gain 23dBi, 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%)Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price. 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.5 Wheels Gasoline Cargo Tricycle with Front Cabin. Moreover,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, 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 (for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000), maintenance (600W- 800W 48V/60V Lead-Acid Battery Electric Scooter), 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,New Mini Willys Jeep Available on 110cc), and annual cost index of mineral processing equipment.150cc ATV for Adults Lmatv-150hm, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty. Maximum MAER of 13.5% and minimum R²of 0.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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