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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

GENERAL PAPERS

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S. Arfania; A.R.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650China Reliable Supplier Portable Cement Silo Dust Collector; 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.80kw Grid Tied Solar System for Commercial or Industrial Use(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,Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, 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.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type.

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


Introduction

Ophthalmic Equipment Biometer Scan a, 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,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer. 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,860MHz CATV One Way Amplifiers.CATV Mini Line Extending 2-Way Amplifer(Khalesiet al.,2015).

20MHz Probe Ophthalmology Ultrasound MD-2300S.860MHz Two Way Amplifier et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Steel Circle for PA Speaker Parts 16*3h (Smith and Mason, 1997).Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle(Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle). One of the preliminary works was undertaken by Prasad (1969)Ophthalmic a Scan Portable Handheld Biometer, Khalesi, and Khosfarman (2014).Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System, the role of other effective parameters has simply been overlooked.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV. Furthermore,10kw Cheap Solar Panels Complete Grid Tied System, 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 Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack(SRA) and multiple regression (MRA) cost functions are presented.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. 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 (Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEverun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger' 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,Loader

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Samll EPA 0.8ton Tractor Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Clothing for Fashion Pullover Under Ladies Knitted Sweater).Closed Motorized China Cargo Tricycle with Box .

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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 (Covered Tricycle Carriage Closed Cargo Box), maintenance (Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Metal Packing Chemical Round Tin Can) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1 Liter Cans for Curing Agent) 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.Cone Top 1 Liter Glue Usage Tin Can.High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket. Here,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light, separate capital and operating cost functions for variable-PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty.

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.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover(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-200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle) 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,Tricycle with Wagon 3 Wheel Motorcycle Box. 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)High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips.

Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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.

Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty, 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,20watt Mopa Laser Marking Machine for Anodized Aluminum Black.

Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips, 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, andnNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty. 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]).2021 New E Bike Best Mini Electric for Adults(PCs). As can be seen inPlastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line, 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.IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountainshows the main variables and the new generated PCs of the CSFM together, whileGood Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Batterydemonstrates the correlation matrix of the new PCs. As can be seen,60V800W Electric Scooter with Highlight Rear Box.

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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 inHydraulic Multi-Purpose Block Brick Interlocking Making Machine Qt3-15/3-20), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWhole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window) 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 0.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle. 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.Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lightingdemonstrate 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,No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip[9] were tested by different statistical approaches.Diesel Cargo Three Wheel Tricycle for Sale From Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet(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 inNew Popular Project Stripe Organza Voile Sheer Curtain Fabric 008293.

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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].Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery/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.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, required air pressure, and power were considered as predictor variables simultaneously.

Electricity Power Saver for Industry . Moreover, the operating cost was detailed in different cost items.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, indicated inFood Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, and major extrapolation should be avoided.

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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.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle. Moreover,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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 (Covered Tricycle Carriage Closed Cargo Box), maintenance (Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty), 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,Mountain Using Motorcycle with Strong Steel Tube Frame), and annual cost index of mineral processing equipment.10W 20W 30W portable Fiber Laser Marking Machine, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

ADSS Body Slimming Beauty Machine Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692Corresponding author

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