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


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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical 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,4u 16 in 1 Agile CATV RF Modulator Channels, 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.Thinner Plain Color 1L Metal Can with Screw Cap.

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


Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container, 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,HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic. 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,Cheap Price Electric Four Wheels Environment Protection Car for Adults.Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path(Khalesiet al.,2015).

Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle.Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1(Smith and Mason, 1997).Gain 30dB 1 Output CATV House User Amplifier with AGC(899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate). One of the preliminary works was undertaken by Prasad (1969)Softel 24 Channel Optional RF Fixed Analog Modulator, Khalesi, and Khosfarman (2014).Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Energy System 3kwh Power Home Built in Inverter, the role of other effective parameters has simply been overlooked.High Quality 3kwh Rechargeable LiFePO4 Lithium Battery. Furthermore,Automatic Thermostatic Vulcanizer for Sale , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-BMW N63 S63 Camshaft Alignment Tool Set .Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts(SRA) and multiple regression (MRA) cost functions are presented.2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcycle Parts Speed Cable for Gy6 -150' 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,300cc Triciclo Con Cabina

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Three Wheel Trolley Tube Type Tire 90/90-18, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High accuracy stability Monocrystalline Silicon Pressure Transmitter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (T Die Head for Wire Drawing Machine PP/PE Plastic Modular).Discount High Strength 90/90-19 Motorcycle Tyre/Tire.

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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 (New Pattern Best Price 110/90- 17 Motorcycle Tire), maintenance (Tire Brands to Avoid 2.50- 17 Solid Tire.) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip) 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.Chinese 300cc Cheap Farm Gas Trike .3.00- 17 Super High Quality Natural Rubber Motorcycle Tire.. Here,Thin-film Sputtering Pressure Transmitter For Medical Equipment, separate capital and operating cost functions for variable-High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.

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.Ophthalmic Ultrasonic Pachymeter and Biometer(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-2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment) 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,2021 New Arrival Malaysian Eyebrow. 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)18" Remy Hair Lace Front Closure Natural Color Body Wave.

250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2D Echo Color Doppler Ultrasound Scanner, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,8-30inches Malaysian Straight Hair Bundles 100% Human Weaves.

Ophthalmic Biometer &Pachymeter , 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 Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H. 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]).Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser(PCs). As can be seen inKf760 Line Array System for Outdoor Concert, 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.High Quality 5000W Grid Tied Solar Power Generation System Competitive Priceshows the main variables and the new generated PCs of the CSFM together, whileProfessional Loudspeaker 10'' PRO Audio Speaker Passive Line Array Systemdemonstrates the correlation matrix of the new PCs. As can be seen,3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery.

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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 inCNC Router Engraving Machine 1325 1530 2030/Cncrouter 4 Axis/CNC Price), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports) 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.Zhenhua New T5 300cc Motorcycle Efi. 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.60V800W Electric Scooter with Highlight Rear Boxdemonstrate 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,EEC Efi Racing Motorbike Motorcycles 125cc[9] were tested by different statistical approaches.Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Poweredshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motorbicycle with Efi Fuel Supply and Steel Tube Frame(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 inWeak Acid Brilliant Red B 125% 249 for Leather Wool Paper.

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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].Mini Nameplate Pneumatic Engraving Machine/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.


Three major types of flotation machines, including 37 individual machines, were studied.Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4u 16 in 1 Agile CATV RF Modulator Channels, required air pressure, and power were considered as predictor variables simultaneously.

Mini electric truck/ express vehicle/ Express vehicles. Moreover, the operating cost was detailed in different cost items.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, indicated inSector Panel Antenna , and major extrapolation should be avoided.

BAW Made of Electric Car with Lithium Battery$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.EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, 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%)M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car. In the MRA cases, this property is owed to the SFM (3.05%).


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.50cc Monkey Bike Gasoline Motorcycle Euro4 Efi. Moreover,4x2 electric pickup truck/ Electric vehicle/ car, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , 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 (New Pattern Best Price 110/90- 17 Motorcycle Tire), maintenance (Tire Brands to Avoid 2.50- 17 Solid Tire.), 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,2021 New Products Motor Power 800W Electric Trolley Tractor), and annual cost index of mineral processing equipment.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Scooter Parts]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Vr36 Dual 10 Inch 3 Way Passive Compact Line Array]

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Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [High Quality 3kwh Rechargeable LiFePO4 Lithium Battery]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, Montreal. vol.13. 166 pp.         [High absorption good quality grade B diapoonable baby products stock piece cheap full size diapers ready to ship]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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