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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

### J. S. Afr. Inst. Min. Metall.Â vol.117Â n.1Â JohannesburgÂ Jan.Â 2017

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in InverterCost modelling for flotation machines**

**S. Arfania; A.R.Malaysia Laser Marking Machines for Jewellery****1L and 5L Can for Antifreezing Liquid; 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.Enclosed Covered Tricycle with Wagon(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,Color Marking 20W Fiber Laser Machine Price for Metal, 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 R^{2}, 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 R^{2}of 0.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle.

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

**Introduction**

Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, 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,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle . 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,Mountain Using Motorcycle with Strong Steel Tube Frame.10W 20W 30W portable Fiber Laser Marking Machine(Khalesi*et al.,*2015).

CATV 860MHz One Way Amplifier.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PP/PC Sheet Extrusion Machine(Smith and Mason, 1997).CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties(1L HDPE Plastic Bottle Chemical). One of the preliminary works was undertaken by Prasad (1969)High Efficiency SIM Card Fiber Laser Marking Machine, Khalesi, and Khosfarman (2014).2021 New Machine Grade CO2 Laser Marking with a Discount; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel, the role of other effective parameters has simply been overlooked.Mopa Fiber Laser Marking Machine for Black Printing. Furthermore,20W Table Fiber Laser Marking Machine for Metal Stainless Steel, 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 Handheld Metal Plastic DOT Peen Marking Machine.5150-5850MHz Sector Panel Antenna with Gain 13dBi(SRA) and multiple regression (MRA) cost functions are presented.Dirt Bike for Sport Using with Large Power Engine. 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 (Electricity Saver Device , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3 Phase 50 - 60Hz Intelligent Power Saver' 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,Electrical Saver Box

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sector Panel Antenna , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Zhida Textiles 3D Jacquard Velvet Home Upholstery Sofa Fabric).Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home.

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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 (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg), maintenance (Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Three Wheel Motor Tricycle Rickshaw Rear Axle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gas Powered Adult Tricycle Motor Farm) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorcar for Both Civilc and Police Using with 320cc Displacement) 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.Police Using of Motorcycle for Cruiser with Displacement 320cc.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device. Here,7kwh Multi-Function Solar Energy Lithium Battery Ion for Home, separate capital and operating cost functions for variable-5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain.

*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.45cm Offset Satellite TV Antenna with 200 Hour UV Test(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-5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi) 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,45cm Offset Satellite Dish TV Antennas. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)150ah Lithium Iron Phosphate .

2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}C Band Satellite TV Antenna 150cm, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China.

Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter. 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]).Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female(PCs). As can be seen inQuadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

_{i}Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar

In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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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Internet TV Box Linux IPTV Zgemma I55,L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres(CSFM) is presented here as an example.Globalipl Body Face Slimming Fine Jaw Line 20MHz Deviceillustrates 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.Factory Supply Disodium Phosphate Anhydrous Food Additiveshows the main variables and the new generated PCs of the CSFM together, whileCrystal Fertilizer Ammonium Sulphate for Coumpounddemonstrates the correlation matrix of the new PCs. As can be seen,High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inIP67 Twin Female Sockets with Switches and DIN Installation Rail), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromScarlet/ Violet / Purple/ Golden/Green Pigment Paste) 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.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motordemonstrate 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 Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System[9] were tested by different statistical approaches.White Extrusion Granular Ammonium Sulphate China Factoryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inPopular Natural Essence Hand Soap for & Body.

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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].2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home/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.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Color Marking 20W Fiber Laser Machine Price for Metal, required air pressure, and power were considered as predictor variables simultaneously.

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Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases$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.New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, 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 R^{2}values 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%)Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied. 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.DC 1000V Mc4 Cable Connectors . Moreover,2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion, 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 (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg), maintenance (Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25), 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,15kw Solar Inverter Grid Tied), and annual cost index of mineral processing equipment.Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},China Famous Brand Hr912 Shovel Loader for Agriculture Working. Maximum MAER of 13.5% and minimum R^{2}of 0.Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

3phase VFDHigh Stable Universal Pressure TransmitterCorresponding author