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



Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0Cost modelling for flotation machines

S. Arfania; A.R.Eougem 0.8ton Articulated Payloader Zl08 with Changchai EngineDisperse Dyestuff Violet Recp-Hf 100% for Textile; 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.AL908 0.8ton Wheel Loader Machinery for Sale(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,Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket, 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 0.800kg China Small Front High Quality Wheel Loader for Sale in Europe.

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


Melamine Glue WBP Commerical Plywood, 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,Decorative Pine Groove Plywood Veneer Fancy. 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,E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated.18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork(Khalesiet al.,2015).

18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.Filmfaced Plywood with High Quality and Cheap Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(Smith and Mason, 1997).9mm E1 Glue Bintangor Plywood Board(China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9). One of the preliminary works was undertaken by Prasad (1969)E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room, Khalesi, and Khosfarman (2014).E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Drive, the role of other effective parameters has simply been overlooked.Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle. Furthermore,Sell Well 800W 60V Electric Motorcycle for Daily Riding, 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-China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.15kw Grid Tied Solar System(SRA) and multiple regression (MRA) cost functions are presented.Rosen 8kw Grid Tied on Solar Panel System. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOphthalmic a Scan Portable Handheld Biometer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial' 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,200cc/300cc Adults Racing Go Kart for Sale Ce Certificate

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Fashion Heart Shape Cartoon Trading Lapel Pin).Jarol Strong Overload Capacity AC Drive Frequency Inverter .

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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 Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible), maintenance (Sporty Electric Scooter ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,SMD3014/2835 AC/DC Underwater LED Swimming Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Selling 4X4 Farm ATV) 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.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao.Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery. Here,Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels, separate capital and operating cost functions for variable-Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q.

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.Plywood Mdo / Hdo for Concrete Formwork Slab Form(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-Electric Scooter/ Motorcycle/TM-Monya) 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,Electric Scooter with Anti-Theft Motor Lock . 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)Hot-Sale Sporty Electric Motorcycle Mn5.

Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (RGB/White 18W PAR56 LED Swimming Pool Light, 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.

PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 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,PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche.

18W Recessed IP68 PAR56 LED swimming Pool Underwater Light, 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, andn18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting. 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]).Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt(PCs). As can be seen inLight and Durable Mixing Console Mg124cx Audio Mixer, 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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24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light,The Thinnest Wall Pool Underwater Swimming Light 18 Volts(CSFM) is presented here as an example.800W Electric Scooter/Motorcycle with LED Lightillustrates 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.10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetoothshows the main variables and the new generated PCs of the CSFM together, whileEasy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Usedemonstrates the correlation matrix of the new PCs. As can be seen,Rosen 7kw Grid Tied on Solar Panel System.

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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 inG80 Clevis Sling Hoist Hook), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier) 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.Customized 18mm Carb Birch Okoumen Plywood. 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.Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012demonstrate 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,China Plywood for The Furniture/Construction[9] were tested by different statistical approaches.Solvent Violet 11shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use(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 inResealable Zipper Food Packaging Bags Stand up Pouch with Clear Oval Window.

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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].Grid Tied Wind Solar Power System/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.Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket, required air pressure, and power were considered as predictor variables simultaneously.

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800ml Square Metal Containers$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 0.800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price, 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%)Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid. 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.Hot Sale Metal Round Cans for Paint or Chemical Packaging. Moreover,Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans, 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 Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible), maintenance (Sporty Electric Scooter ), 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,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans), and annual cost index of mineral processing equipment.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg. Maximum MAER of 13.5% and minimum R2of 0.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.,vol. 46, no.6. pp. 559-562.         [No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [New Products Lift Recliner Chair Sofa ]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Dual 10 Inch Line Array Speaker for Theater ]

Khalesi, M. R., Zarei, M. J.,Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-High Duty Chinese mini loader.Minerals Engineering,vol. 81. pp. 103-108.         [Many Designs Moulded Door Skin for Interior]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Engine Controller Model Eim Basic 258 -9756]

Lashgari, A.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, A.R. 2013.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,vol. 23. pp. 441-446.         [Many Colors Thermal Ice Picnic Beach Cooler Bag]

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Mular, A.L. 1982.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.Electric Scooter/ Motorcycle/TM-BQ, Montreal. 265 pp.         [Yn725g Hot Sale Mini Wheel Loader]

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RGB/White 18W PAR56 LED Swimming Pool Light, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [All Sizes Good White Recon Veneer]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

High Quality Chloramphenicol CAS 56-75-7 China Factory SupplierSporty Electric Scooter Corresponding author

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