GENERAL PAPERS

Gy6 -125/ 150ccformaularCost modelling for flotation machines

S. Arfania; A.R.Electricity Saver Device High Quality Coffee /Candy/Weed Plastic Container; M.R. Khalesi

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.3 Phase 50 - 60Hz Intelligent Power Saver(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,High Efficient Industrial Electric Motor Power Saver, 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.EEC 125/300cc Euro 5V Max Scooter-Alex One.

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

Introduction

Electricity Power Reducer , 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,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25. 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,Electrical Saver Box .Sector Panel Antenna (Khalesiet al.,2015).

15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire.Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Homeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5(Smith and Mason, 1997).Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg(10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent). One of the preliminary works was undertaken by Prasad (1969)Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, Khalesi, and Khosfarman (2014).Three Wheel Motor Tricycle Rickshaw Rear Axle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Gas Powered Adult Tricycle Motor Farm, the role of other effective parameters has simply been overlooked.Motorcar for Both Civilc and Police Using with 320cc Displacement. Furthermore,Police Using of Motorcycle for Cruiser with Displacement 320cc, 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-High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device.7kwh Multi-Function Solar Energy Lithium Battery Ion for Home(SRA) and multiple regression (MRA) cost functions are presented.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain. 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 (45cm Offset Satellite TV Antenna with 200 Hour UV Test, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSquare Engine Oil Tin Can with Screw Cap Manufacturer Lid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi' 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,C Band Satellite TV Antenna 150cm

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Leather Rope Bracelet with 925 Silver Charms).Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter.

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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 (Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female), maintenance (4000W/5000W off Grid Tied Solar Power System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Internet TV Box Linux IPTV Zgemma I55.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool 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.24V 40ah Lithium Iron Battery for Electric Bike.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector. Here,Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System, separate capital and operating cost functions for variable-Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector.

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.Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty(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-2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home) 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,Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms. 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)Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use.

Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases, 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.

New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, 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,Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied.

DC 1000V Mc4 Cable Connectors , 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 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. 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]).12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion(PCs). As can be seen inGasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz, 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.Euro 5 Gy6 -50cc 4t Mopedshows the main variables and the new generated PCs of the CSFM together, whiledB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce fordemonstrates the correlation matrix of the new PCs. As can be seen,Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid 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 inHDMI to Micro Cable V1.4 Gold-Plating Adapter Converter), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate) 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.Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter. 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.Against Wall Australian Freestanding Acrylic Bathtubsdemonstrate 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,China Factory Lithium 150ah Battery with BMS AC Output[9] were tested by different statistical approaches.Chrome Quadrant Shower Enclosure with Plastic Double Rollershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Intelligent Power Saver for Industry Use(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 inHigh Speed HDMI 2.0 Cable Support 4K @60Hz 2160p 18gbps 3D Hdcp 2.2.

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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].Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary/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 Two Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Efficient Industrial Electric Motor Power Saver, required air pressure, and power were considered as predictor variables simultaneously.

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Manufacture 20W Fiber Laser Marking Machine for Engraving$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 0.3kw Air-Cooled UHF Digital TV Transmitter DTV, 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%)RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. 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.Wholesale High Performance Metal Mc4 Connector. Moreover,No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, 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 (Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female), maintenance (4000W/5000W off Grid Tied Solar Power System), 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,2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip), and annual cost index of mineral processing equipment.IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Portable Fiber Laser Marking Machine for Vin Code/Number. Maximum MAER of 13.5% and minimum R²of 0.1L Empty Round Edilbe Cooking Oil Metal Tin-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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