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Scarlet/ Violet / Purple/ Golden/Green Pigment PasteCost 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.Electrical Saver Box (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,Sector Panel Antenna , 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 0.15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire.

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

Introduction

Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home, 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,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg. 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,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25.Three Wheel Motor Tricycle Rickshaw Rear Axle(Khalesiet al.,2015).

Gas Powered Adult Tricycle Motor Farm.Motorcar for Both Civilc and Police Using with 320cc Displacementet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc(Smith and Mason, 1997).Police Using of Motorcycle for Cruiser with Displacement 320cc(Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor). One of the preliminary works was undertaken by Prasad (1969)High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device, Khalesi, and Khosfarman (2014).7kwh Multi-Function Solar Energy Lithium Battery Ion for Home; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain, the role of other effective parameters has simply been overlooked.45cm Offset Satellite TV Antenna with 200 Hour UV Test. Furthermore,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, 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-45cm Offset Satellite Dish TV Antennas.150ah Lithium Iron Phosphate (SRA) and multiple regression (MRA) cost functions are presented.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things. 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 (E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Extrusion Granular Ammonium Sulphate China Factory(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;C Band Satellite TV Antenna 150cm' 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,4000W/5000W off Grid Tied Solar Power System

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Internet TV Box Linux IPTV Zgemma I55, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (IATF 16949 Molded Custom Nr/EPDM/NBR/CR Rubber Auto Parts Spare).High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years 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 (24V 40ah Lithium Iron Battery for Electric Bike), maintenance (Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty) 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.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms. Here,Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use, separate capital and operating cost functions for variable-Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter.

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.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases(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 Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre) 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,Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied. 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)DC 1000V Mc4 Cable Connectors .

2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion, 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.

15kw Solar Inverter Grid Tied, 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,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode.

China Famous Brand Hr912 Shovel Loader for Agriculture Working, 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, andnTanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System. 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 engine garden/farm/ construction 0.8ton front end backhoe wheel loader(PCs). As can be seen inElectric Pipe End Bevelling Machine, 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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China Factory Lithium 150ah Battery with BMS AC Output,Intelligent Power Saver for Industry Use(CSFM) is presented here as an example.Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machineillustrates 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.3000W Grid Tied Solar System for Home Useshows the main variables and the new generated PCs of the CSFM together, while20W 50W Portable Jpt/Ipg Laser Marking Machine in Germanydemonstrates the correlation matrix of the new PCs. As can be seen,CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm.

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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 inCustom Design Souvenir Award Taekwondo Metal Medal), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLive Music Sound Line Array System for Acoustic and Electronic Performance) 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.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty. 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.Speaker 12 Inch SA-212 Professional Sound Box Portable Passivedemonstrate 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,Made in China Strong Compact Mini Front Loader [9] were tested by different statistical approaches.1L Panit Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals(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 inPolycrystalline Wire Drawing Die Blanks.

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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].3kw Air-Cooled UHF Digital TV Transmitter DTV/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.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sector Panel Antenna , required air pressure, and power were considered as predictor variables simultaneously.

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1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car$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 0.2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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%)IP67 1000V 3 to 1 PV Mc4 T Branch Solar 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.Portable Fiber Laser Marking Machine for Vin Code/Number. Moreover,1L Empty Round Edilbe Cooking Oil Metal Tin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, 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 (24V 40ah Lithium Iron Battery for Electric Bike), maintenance (Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector), 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,Max Source Fiber Machine Laser Marking for Vin Number), and annual cost index of mineral processing equipment.1L Custom Round Small Metal Empty Tin Cans with Lids, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty. Maximum MAER of 13.5% and minimum R²of 0.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo -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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