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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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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.Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine(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,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, 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 0.12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.

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


Introduction

Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer, 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,No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip. 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,220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use.Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi' 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,20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),600W- 800W 48V/60V Lead-Acid Battery Electric Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Thermal White Ceramic Mug with Silicon Lid for Coffee or Lattes).Best Selling Electric Scooter Mini 800W .

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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 (150cc Automatic Racing Sports Exclusive Design ATV ), maintenance (High Quality Cheap 200cc and 150cc Farm Utility ATV) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1GHz Outdoor Bi-Directional CATV Amplifier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Mini Willys Jeep Available on 110cc) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sell 800W Delivery City Electric Scooter for Take-out Business) 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.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe. Here,3kw Liquid Cooling UHF Digital TV Transmitter DTV, separate capital and operating cost functions for variable-He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter.

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.IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner(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-Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module ) 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,Bi-Directional Transmission Distribution Amplifier SA822. 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)Encryption Ts Satellite IRD.

Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike, 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.

2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad, 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,Closed Canvas Box 2 Ton Cargo Tricycle.

Sanyou 125cc Efi System with Delivery Box Gas Scooter, 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, andnNew Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle. 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]).28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale(PCs). As can be seen in2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, 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.Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320shows the main variables and the new generated PCs of the CSFM together, whileScrew Top Metal Tin Candemonstrates the correlation matrix of the new PCs. As can be seen,0.6m 5GHz Parabolic Antenna with Gain 28dBi.

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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 in925 Sterling Silver Bracelet Flower Diamond Trendy Pearl Double Layer Decoration Jewelry), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGlycyl- L-Tyrosine; 658- 79 -7) 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 0.150cc 200cc 250cc ATV Quad Bike for Adults. 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.Professional Audio PA Subwoofer Component Speakersdemonstrate 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,4 Stroke Buggy 150cc ATV[9] were tested by different statistical approaches.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS(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 inNail Product Glue Colors Color Card Empty Gel Polish Beauty Decoration Display with Tips Tool Art.

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Cost model for variable-The Newest 110cc 125cc 150cc Toyota Mini Buggy

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].High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS/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 Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted 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,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, required air pressure, and power were considered as predictor variables simultaneously.

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5 Wheels Gasoline Cargo Tricycle with Front Cabin$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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, 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%)Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on. 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.New Mini Willys Jeep Available on 110cc. Moreover,150cc ATV for Adults Lmatv-150hm, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, 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 (150cc Automatic Racing Sports Exclusive Design ATV ), maintenance (High Quality Cheap 200cc and 150cc Farm Utility ATV), 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,High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip), and annual cost index of mineral processing equipment.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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