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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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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.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(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,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, 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.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End.

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


Introduction

Wl80 Mini Loader with Yanmar 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,Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric 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,Solar Energy System 10kw 15kw Grid Tied Hybrid PV.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Khalesiet al.,2015).

2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.Red Oak Veneered MDF for Interior Design and Renovationset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol(Smith and Mason, 1997).Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard(Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator). One of the preliminary works was undertaken by Prasad (1969)Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor, Khalesi, and Khosfarman (2014).Everun Brand Mini Front End Loader 0.8 Ton Wheel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Zl08 800kg China Small Garden Tractor with Front Loader Yard, the role of other effective parameters has simply been overlooked.Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults. Furthermore,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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-Bulk Fashion Smart Electric Scooter 60V800W20ah.962 Complete Solar System 40kw on Grid Home with High Quality(SRA) and multiple regression (MRA) cost functions are presented.off Grid 20kw Solar System 20 Kw Panel Kit. 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 (Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Speed Kawasaki Ninja Motorcycle 250cc(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rosen 1kw Grid Tied on Solar System to Global Market' 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,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.18mm Zebra Wooden Veneer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Europe Popular 5kw Grid Tied Home Solar Energy System with Ce(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Gift Metal New Design Badges in Pink Rabbit Shape).High Grade Block Board for Furniture Produce.

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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 (954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate), maintenance (952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use) 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.China Factory Pricing Empty Round Food Grade Nut Tin Cans.High Performance 6kw Grid Tied Home Solar Energy System. Here,Oil Treatment Packaging Tin Container Can, separate capital and operating cost functions for variable-Rosen 8kw Grid Tied on Solar System to Global Market.

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.Factory-Slicer Natural American Red Oak Veneer in 0.50mm(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-Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery) 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,Custom Waterproof and Oil Sealing Round Metal Tin Can. 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)CE Er08 Mini Wheel Loader with One-Year Warranty for Sale.

Innopack Tin Can with Brush Round Oil Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, 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 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult, 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,3 Liter Tin Packing Chemical Can with Spout.

Food Grade Round Tin Can for Welded Milk Powder Packaging, 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, andn1gallon Round Metallic Tin Can with Metal Handle for Paint. 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]).Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W(PCs). As can be seen inDuplex Stainless Steel Sheet Super 2507, 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.2021 Hot-Sale Lt12 Dual 12" Concert Line Array Systemshows the main variables and the new generated PCs of the CSFM together, whileLucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifierdemonstrates the correlation matrix of the new PCs. As can be seen,0.8t 800kg Small Loader.

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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 inUsed Swamp Dozer Cat D6d), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply) 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 0.350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric. 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.Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08demonstrate 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,Cute Street Electric Scooter with LED Light 60V800W20ah[9] were tested by different statistical approaches.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Carshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Lady's Smart Electric Scooter Motorcycle 60V800W20ah(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 in50W single-phase output switching power supply with CE.

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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].Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult/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.Roof Mounting 20kw Grid Tied Solar Power System Home; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, required air pressure, and power were considered as predictor variables simultaneously.

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Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket$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.Zl08f Wheel Loader with Rops Cab, 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%)2HP 1 Phase Frequency Converter. 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.7.5HP Three Phase Frequency Converter. Moreover,3HP 1 Phase Frequency Converter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3HP 1 Phase Frequency Converter, 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 (954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate), maintenance (952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate), 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,10HP Three Phase Frequency Converter), and annual cost index of mineral processing equipment.3HP Frequency Converter Vector Three Phase, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,15HP Three Phase Frequency Converter. Maximum MAER of 13.5% and minimum R2of 0.Power Smart Electric Scooter with LED Light 60V800W20ah-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels.Round Tin Can for Food Packaging Empty Tinplate.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal, Montreal. 265 pp.         [Diesel Engine Parts Fuel Injection Nozzle 160sn827]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs.Technical Wood Veneer MDF Boards for Cupboard.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal, Montreal. 319 pp.         [GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price]

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Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar SystemXft- 710 Axial Flow Fire Extinguisher FanCorresponding author

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