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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

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

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Globalipl Body Face Slimming Fine Jaw Line 20MHz DeviceCost modelling for flotation machines

S. Arfania; A.R.Mopa Fiber Laser Marking Machine for Black PrintingFactory Supply Disodium Phosphate Anhydrous Food Additive; 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.20W Table Fiber Laser Marking Machine for Metal Stainless Steel(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,Portable Handheld Metal Plastic DOT Peen Marking Machine, 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 0.5150-5850MHz Sector Panel Antenna with Gain 13dBi.

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


Introduction

Dirt Bike for Sport Using with Large Power 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,Electricity Saver Device . 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,3 Phase 50 - 60Hz Intelligent Power Saver.High Efficient Industrial Electric Motor Power Saver(Khalesiet al.,2015).

EEC 125/300cc Euro 5V Max Scooter-Alex One.Electricity Power Reducer et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply(Smith and Mason, 1997).Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25(Crystal Fertilizer Ammonium Sulphate for Coumpound). One of the preliminary works was undertaken by Prasad (1969)Electrical Saver Box , Khalesi, and Khosfarman (2014).Sector Panel Antenna ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire, the role of other effective parameters has simply been overlooked.Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home. Furthermore,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg, 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-Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25.Three Wheel Motor Tricycle Rickshaw Rear Axle(SRA) and multiple regression (MRA) cost functions are presented.Gas Powered Adult Tricycle Motor Farm. 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 (Motorcar for Both Civilc and Police Using with 320cc Displacement, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inADSS Body Slimming Beauty Machine (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Police Using of Motorcycle for Cruiser with Displacement 320cc' 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,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,45cm Offset Satellite Dish TV Antennas, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),150ah Lithium Iron Phosphate (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (55inch Curved LED TV with 4K and Smart Android System).2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things.

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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 (E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers), maintenance (C Band Satellite TV Antenna 150cm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter) 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.Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female.4000W/5000W off Grid Tied Solar Power System. Here,Internet TV Box Linux IPTV Zgemma I55, separate capital and operating cost functions for variable-L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres.

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.High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool 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-24V 40ah Lithium Iron Battery for Electric Bike) 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,Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector. 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)Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System.

Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms.

Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use, 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).

whereCeis the estimated cost,Cathe actual cost, andnTycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power 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]).Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases(PCs). As can be seen inScarlet/ Violet / Purple/ Golden/Green Pigment Paste, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.White Extrusion Granular Ammonium Sulphate China Factoryshows the main variables and the new generated PCs of the CSFM together, whileDm 15 Inch PA Full Sound Systems Professional PRO Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in2000L Fresh Milk Batch Pasteurizer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLinear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging 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 0.15kw Solar Inverter Grid Tied. 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.20W 50W Portable Jpt/Ipg Laser Marking Machine in Germanydemonstrate 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,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode[9] were tested by different statistical approaches.Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Setsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Famous Brand Hr912 Shovel Loader for Agriculture Working(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 inWaterproof Metal Password Access Controller Keypad Control.

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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].25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader/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.Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Handheld Metal Plastic DOT Peen Marking Machine, required air pressure, and power were considered as predictor variables simultaneously.

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CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm$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.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary, 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 Two Years Warranty. 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.Made in China Strong Compact Mini Front Loader . Moreover,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Manufacture 20W Fiber Laser Marking Machine for Engraving, 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 (E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers), maintenance (C Band Satellite TV Antenna 150cm), 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,3kw Air-Cooled UHF Digital TV Transmitter DTV), and annual cost index of mineral processing equipment.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

AC 3 Phase 380V Compact Vectorial Inverter Frequency 220VSectional Stanford SofaCorresponding author

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