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



Customized 1L Round Empty Metal Oil Paint Package Tin/Can ContainerCost modelling for flotation machines

S. Arfania; A.R.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.Adv. 1 Alloy Wheel ; M.R. Khalesi

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.High Duty Chinese mini loader(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,Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black, 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.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1.

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


Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP. 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,Upgraded Full HD North America Internet ATSC TV Decoder.High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip(Khalesiet al.,2015).

High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty.Mag City Scooter 80km Range Two Wheel Electric Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Ebony Engineered Wood Veneer for Hot Sale(Smith and Mason, 1997).Electric Scooter/ Motorcycle/TM-BQ(Jwell  PP Corrugated Roof Sheet Extrusion Machine). One of the preliminary works was undertaken by Prasad (1969)Commerical Okoume Plywood for Sale, Khalesi, and Khosfarman (2014).Go Kart ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Go Kart , the role of other effective parameters has simply been overlooked.Everun 0.8ton Mini Wheel Loader with Euro III Engine. Furthermore,New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, 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-Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor(SRA) and multiple regression (MRA) cost functions are presented.High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLanosterol 79 -63-0 (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,TUV Certificate Gried Tied on Grid 30kw Solar Power System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Factory Price Mini Wings Cotton for Women Sanitary Napkin).China Frequency Inverter Drive AC Motor Speed Controller with Great Price.

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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 (China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC), maintenance (3000W Grid Tied Solar System for Home Use) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sapelli Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory) 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.Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart. Here,Electric Scooter 800W 60V20ah Lead Acid, separate capital and operating cost functions for variable-hot selling small avant articulated tractor wheel loader for garden landscaping.

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.UV White Birch Plywood 18mm Carb E0 Cabinet(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-18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood) 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,China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas. 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)Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic.

350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can, 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.

250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap, 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,SGS Food Grade Certification 500ml Tin Containers Olive Oil Can.

Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, 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, andn1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids. 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 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel(PCs). As can be seen inHot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt, 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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Chinese Eougem Zl08 Wheel Loader with Torque Converter,Articulated Mini Wheel Loader Er08 Telescopic Boom(CSFM) is presented here as an example.800W Electric Motorbike with Front Disc Brakeillustrates the high correlation between predictor variables for the CSFM.

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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.Yn725g Approved Hot Sale Mini Wheel Loader Yn725shows the main variables and the new generated PCs of the CSFM together, whileCustom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffeedemonstrates the correlation matrix of the new PCs. As can be seen,Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver.

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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 inClothing High Quality 100% Cotton 180g White Colour Short Sleeves O Neck Us Size Custom Men T Shirts in Bulk), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDiesel Engine Parts Fuel Injection Nozzle Dlla150sm145) 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.New Design Go Kart 150cc . 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.New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbersdemonstrate 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,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router[9] were tested by different statistical approaches.15HP Frequency Converter Vector Three Phaseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.48V/60V 800W Electric Scooter with Lead-Acid Battery(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 inFood Grade Stainless Steel Clamped Sample Valve.

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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].Electric Motorcycle 800W for Adult Motor/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.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black, required air pressure, and power were considered as predictor variables simultaneously.

800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery. Moreover, the operating cost was detailed in different cost items.Rosen 5kw on Grid Solar System with Tied Inverter, indicated inHigh Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS, and major extrapolation should be avoided.

Solar Energy System 5kw Panel Home Grid Tied Power$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 0.200kw Grid Tied Solar System for Factory Use, 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%)Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System. 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.1kw Solar Power System Grid Tied 1000W on Panel Price. Moreover,Commercial Solar System 100kw Grid Tied /on 100kVA 60kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, 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 (China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC), maintenance (3000W Grid Tied Solar System for Home Use), 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,Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT), and annual cost index of mineral processing equipment.Hot selling compact 800kgs wheel loader for garden, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Efficiency 6kw Grid Tied Solar Power System for Home. Maximum MAER of 13.5% and minimum R2of 0.China Safe Automatic CVT 150cc Go Kart Motor with Reverse-feasibility and even feasibility study level of projects.


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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.         [99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Carb P2 Okoume Plywood for Furniture,vol. 115. pp. 789-797.         [Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.15mm AAA Grade Film Faced Plywood with WBP Glue, Montreal. vol.13. 166 pp.         [Natural Black Cosmic Granite Countertops for Kitchen]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [60ml 75% Ethanol Antiseptic Hand Sanitizer Gel with FDA]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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