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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Skycron® Disperse Violet 63/RL 200% Color Dye For ClothesCost modelling for flotation machines

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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.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q(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,Plywood Mdo / Hdo for Concrete Formwork Slab Form, 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.Electric Scooter/ Motorcycle/TM-Monya.

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


Electric Scooter with Anti-Theft Motor Lock , 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,Hot-Sale Sporty Electric Motorcycle Mn5. 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,Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult.RGB/White 18W PAR56 LED Swimming Pool Light(Khalesiet al.,2015).

PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light.PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Nicheet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture(Smith and Mason, 1997).18W Recessed IP68 PAR56 LED swimming Pool Underwater Light(New Products Lift Recliner Chair Sofa ). One of the preliminary works was undertaken by Prasad (1969)18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting, Khalesi, and Khosfarman (2014).Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, the role of other effective parameters has simply been overlooked.24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light. Furthermore,The Thinnest Wall Pool Underwater Swimming Light 18 Volts, 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-Rosen 7kw Grid Tied on Solar Panel System.11kw Grid Tied Solar Energy System Industrial Power Supply(SRA) and multiple regression (MRA) cost functions are presented.Customized 18mm Carb Birch Okoumen Plywood. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (China Plywood for The Furniture/Construction, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 Inch Line Array Speaker for Theater (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use' 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,980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800ml Square Metal Containers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Military Tactical Buckles Hook Flight Parachute Backpack).Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid.

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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 (Hot Sale Metal Round Cans for Paint or Chemical Packaging), maintenance (Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can) 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 Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket. Here,Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, separate capital and operating cost functions for variable-Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance..

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.High Duty Chinese mini loader(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-Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black) 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,HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1. 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)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Upgraded Full HD North America Internet ATSC TV Decoder, 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.

High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip, 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,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 Motorcycle, 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, andnElectric Scooter/ Motorcycle/TM-BQ. 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]).Commerical Okoume Plywood for Sale(PCs). As can be seen inEngine Controller Model Eim Basic 258 -9756, 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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New Go Kart ,Everun 0.8ton Mini Wheel Loader with Euro III Engine(CSFM) is presented here as an example.Double Rear Tyre Tricycle with 300cc Water Cooling Engineillustrates 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.Pharmaceutical Intermediate Bulk Price N- shows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter AC Drive 220V Inverter China Variable Speed Controllerdemonstrates the correlation matrix of the new PCs. As can be seen,New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale.

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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 inLong Style Real 100% Cashmere 7gg Knitted Cardigan for Girl), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBiodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag) 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 0.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor. 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 Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312dademonstrate 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,High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip[9] were tested by different statistical approaches.Padlockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive(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 inP1.6mm High Definition Norrow 4K Commercial LED Video Display for Broadcast.

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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].Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter/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.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Plywood Mdo / Hdo for Concrete Formwork Slab Form, required air pressure, and power were considered as predictor variables simultaneously.

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No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme$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.TUV Certificate Gried Tied on Grid 30kw Solar Power System, 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%)2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme. 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.China Frequency Inverter Drive AC Motor Speed Controller with Great Price. Moreover,China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3000W Grid Tied Solar System for Home Use, 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 (Hot Sale Metal Round Cans for Paint or Chemical Packaging), maintenance (Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket), 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,Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm), and annual cost index of mineral processing equipment.Sapelli Plywood, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory. Maximum MAER of 13.5% and minimum R2of 0.Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart.Electric Scooter 800W 60V20ah Lead Acid,vol. 46, no.6. pp. 559-562.         [Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Wholesale Latest Design Hip Hop Jewelry 925 Sterling Silver Diamond Screw Back Earrings]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery]

Khalesi, M. R., Zarei, M. J.,Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-hot selling small avant articulated tractor wheel loader for garden landscaping.Minerals Engineering,vol. 81. pp. 103-108.         [Ophthalmic Ultrasonic Pachymeter and Biometer]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive,vol. 115. pp. 789-797.         [Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [High Purity O-Phthalaldehyde]

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Mular, A.L. 1982.250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap.SGS Food Grade Certification 500ml Tin Containers Olive Oil Can.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, Montreal. 265 pp.         [Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, Montreal. 319 pp.         [24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Ziplock Dog Food Bag with Bottom Gusset]

Noakes, M. and Lanz, T. 1993.Chinese Eougem Zl08 Wheel Loader with Torque Converter.Articulated Mini Wheel Loader Er08 Telescopic Boom, Carlton, victoria. 412 pp.         [Nitrogen Fertilizer Steel Grade as From China Factory]

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Upgraded Full HD North America Internet ATSC TV Decoder, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-800W 60V Lead-Acid Battery Electric Bicycle with Back Rest.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [800W Stadium Lighting Serials LED Projector Light]

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USBM. 1987.Electric Motorcycle 800W for Adult Motor,Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Real Factory Supplies Good Price Beautiful Perfume]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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