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



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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.15kw Grid Tied Solar System(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,Rosen 8kw Grid Tied on Solar Panel System, 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 0.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.

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


12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial, 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,Grid Tied 11kw Solar Panel System Home Commercial Power Supply. 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,5kw Grid Tied Solar Power System for Home Use.12kw Grid Tied Solar System(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in24 Channels Fixed Modulator(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels' 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,Hot-Sale Sporty Electric Motorcycle Mn5

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),RGB/White 18W PAR56 LED Swimming Pool Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Crystal Brooch).PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light.

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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 (PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche), maintenance (18W Recessed IP68 PAR56 LED swimming Pool Underwater Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty) 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.24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.The Thinnest Wall Pool Underwater Swimming Light 18 Volts. Here,Rosen 7kw Grid Tied on Solar Panel System, separate capital and operating cost functions for variable-11kw Grid Tied Solar Energy System Industrial Power Supply.

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.Customized 18mm Carb Birch Okoumen Plywood(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-China Plywood for The Furniture/Construction) 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,3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use. 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)Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System.

Grid Tied Wind Solar Power System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP, 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.

Ash Solid Wood decoration Board, 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,980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity..

800ml Square Metal Containers, 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, andn800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price. 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 Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid(PCs). As can be seen in3X3 LCD wall panel surveillance digital display screen, 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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Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket,Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans(CSFM) is presented here as an example.Solvent Violet 11illustrates 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.Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Deliveryshows the main variables and the new generated PCs of the CSFM together, whilePortable Automatic Ultrasound Bone Analyzer Densitometerdemonstrates the correlation matrix of the new PCs. As can be seen,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans.

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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 inWhite/Grey/Copper/Black Aluminium with Acrylic Diffuser Dining Lamp Modern), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Products Lift Recliner Chair Sofa ) 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.China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg. 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.Many Designs Moulded Door Skin for Interiordemonstrate 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,Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket[9] were tested by different statistical approaches.Engine Controller Model Eim Basic 258 -9756shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans(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 inHot Sale 67" Modern Egg Shaped Acrylic Freestanding Bath Tub.

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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].High Duty Chinese mini loader/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.Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rosen 8kw Grid Tied on Solar Panel System, required air pressure, and power were considered as predictor variables simultaneously.

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Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP$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.Upgraded Full HD North America Internet ATSC TV Decoder, 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%)High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip. 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.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty. Moreover,Mag City Scooter 80km Range Two Wheel Electric Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Scooter/ Motorcycle/TM-BQ, 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 (PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche), maintenance (18W Recessed IP68 PAR56 LED swimming Pool Underwater Light), 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,Commerical Okoume Plywood for Sale), and annual cost index of mineral processing equipment.Go Kart , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New Go Kart . Maximum MAER of 13.5% and minimum R2of 0.Everun 0.8ton Mini Wheel Loader with Euro III Engine-feasibility and even feasibility study level of projects.


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Khalesi, M. R., Zarei, M. J.,China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor.Minerals Engineering,vol. 81. pp. 103-108.         [Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag]

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Lashgari, A.50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, A.R. 2013.3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor,Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter,vol. 23. pp. 441-446.         [Face Mask 3 Ply Disposable Medical Non-Woven Fabric in Stock for Hospital]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor,vol. 115. pp. 789-797.         [Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme.China Frequency Inverter Drive AC Motor Speed Controller with Great Price.TUV Certificate Gried Tied on Grid 30kw Solar Power System, Montreal. 319 pp.         [Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W]

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Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-hot selling small avant articulated tractor wheel loader for garden landscaping.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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