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


Modern Style Leather Sofa Top Grain F226Cost modelling for flotation machines

S. Arfania; A.R.1kw Solar Power System Grid Tied 1000W on Panel Price14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims; 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.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw(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,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, 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.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT.

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


Hot selling compact 800kgs wheel loader for garden, 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,High Efficiency 6kw Grid Tied Solar Power System for Home. 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,China Safe Automatic CVT 150cc Go Kart Motor with Reverse.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Full Size 150cc Go Kart , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Active Powered Line Array Speaker Mini 5 Inch Audio(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Go Kart ' 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,WLAN WiFi Yagi Antenna

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),150cc Go Kart with EEC (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Ladies Knitted Vest with Wool Sweaters).High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.

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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 (Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile), maintenance (High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Wall Mounted Underwater LED Swimming Pool 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.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top.Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box. Here,15kw Grid Tied Solar Power System for Home Use, separate capital and operating cost functions for variable-Grid Tied 100kw 200kw 300kw Solar System.

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.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels(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-Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale) 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,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W. 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)Adv. 1 Alloy Wheel .

150cc 4-Stroke, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, 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.

Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, 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,Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W.

New Design 800W 1000W Electric Scooter Motorcycle for Riding, 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, andn5.8GHz 30dBi Single-Pol Die Cast Grid Antenna. 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]).Mimo Antenna 5150MHz~5850MHz WiFi Panel(PCs). As can be seen inFast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L, 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.Finished Surface HD Truck Wheel 17.5inch Rims Steelshows the main variables and the new generated PCs of the CSFM together, whileCustom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Usedemonstrates the correlation matrix of the new PCs. As can be seen,5GHz 12dBi Dual Polarity MIMO Omni Antenna.

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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 in300j Semi-Automatic Charpy Impact Test Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustomized Modern Design Metal Oil Tin Can 1L Empty Storage Container) 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 0.5GHz 18dBi Dual Polarization Panel WLAN Antenna. 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.Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993demonstrate 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,Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner[9] were tested by different statistical approaches.Fast Delivery 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage 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 inThe Peace Publicity Tin Button Badge as Souvenir.

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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].Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps/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.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, required air pressure, and power were considered as predictor variables simultaneously.

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Alloy Wheels $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.Silver Truck Wheel Rims Steel 17.5 Inch, 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%)15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer. 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 Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC. Moreover,Finished Surface HD Truck Wheel 17.5inch Rims Steel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (250CC Go Kart , 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 (Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile), maintenance (High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme), 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,18mm Carb Birch Okoumen Plywood), and annual cost index of mineral processing equipment.Retro Electric Motorcycle Scooter , and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.High Quality 18mm Carb Birch Okoumen Plywood.1.5kw 220V Frequency Converter Single Phase 380 3,vol. 46, no.6. pp. 559-562.         [3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules]

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.         [17 19 Inch Smart HD Color Plasma Flat Screen LCD LED TV]

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Khalesi, M. R., Zarei, M. J.,1kw Solar Power System Grid Tied 1000W on Panel Price, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Carb Approved Birch Plywood.Minerals Engineering,vol. 81. pp. 103-108.         [2021 New Compact 10 " Active Line Array Speaker Sound System]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Carb E0 Cabinet Grade 18mm Plywood in High Quality, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Teak Wood Veneer Woven Design for Plywood Door]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [TUV Certificate Gried Tied on Grid 30kw Solar Power System]

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% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Carb Bleach White Poplar Plywood LVL 12mm 18mm,vol. 115. pp. 789-797.         [55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, Montreal. vol.13. 166 pp.         [Excellent Brand in China Leader Manufacturer Factory Price Children Outdoor Playground]

Mular, A.L. 1982.Wolf Loader Wl80 Zl08 Radlader Mini Wheel.2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.High Quality Carb Certified Birch Faced Furniture Plywood, Montreal. 265 pp.         [Good Quality Empty Metal Tin Paint Glue Cans]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.UV Birch Plywood with Poplar Core Carb E0 Glue From Factory.17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim.High Quality Carb Certified Birch Faced Furniture Plywood, Montreal. 319 pp.         [Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People]

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Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [3-Ply Disposable Earloop Safety Face Mask 50 PCS Non-Woven Blue]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Manufacturer Solar Home System 3kwh LiFePO4 Battery1L Aluminum Tin Can for Food Packaging Corresponding author

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