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



12" Die Cast Aluminum PA Speaker FrameCost modelling for flotation machines

S. Arfania; A.R.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle CityFrequency Converter 60Hz 50Hz 75HP; 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.Square Engine Oil Tin Can with Screw Cap Manufacturer Lid(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,Frequency Converter 60Hz 50Hz 150HP, 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.Frequency Converter 60Hz 50Hz 125HP.

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


Frequency Converter 60Hz 50Hz 160HP, 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,Frequency Converter 60Hz 50Hz 60HP. 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,Frequency Converter 60Hz 50Hz 75HP.Frequency Converter 75HP Three Phases(Khalesiet al.,2015).

Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(500kw on Grid Tied Hybrid Solar Power Plant Station System). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter 50HP Three Phases, Khalesi, and Khosfarman (2014).Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,3HP Three Phase Frequency Converter, the role of other effective parameters has simply been overlooked.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Furthermore,10HP Three Phase Frequency Converter, 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-957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls(SRA) and multiple regression (MRA) cost functions are presented.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Wl80 Mini Loader with Yanmar Engine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle' 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,Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard

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 Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun Brand Mini Front End Loader 0.8 Ton Wheel(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Double Head Auto Feeding Laser Cutting Machine 1610 for Sale).Zl08 800kg China Small Garden Tractor with Front Loader Yard.

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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 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bulk Fashion Smart Electric Scooter 60V800W20ah.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (962 Complete Solar System 40kw on Grid Home with High Quality) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (off Grid 20kw Solar System 20 Kw Panel Kit) 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 Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult.Rosen 1kw Grid Tied on Solar System to Global Market. Here,475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, separate capital and operating cost functions for variable-959 33kw on Grid Solar Home System with Power Inverter.

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.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(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-Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery) 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,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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)0.18mm Zebra Wooden Veneer.

Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Grade Block Board for Furniture Produce, 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.

954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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,952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush, 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, andnHigh Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer. 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]).Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use(PCs). As can be seen inDrive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving, 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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High Performance 6kw Grid Tied Home Solar Energy System,Oil Treatment Packaging Tin Container Can(CSFM) is presented here as an example.Shrink Wrapping Machine for Water Packing illustrates 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.ISY SDC TCM ID Mounted Pipe Beveling Machineshows the main variables and the new generated PCs of the CSFM together, whileScarlet/ Violet / Purple/ Golden/Green Pigment Pastedemonstrates the correlation matrix of the new PCs. As can be seen,Rosen 8kw Grid Tied on Solar System to Global Market.

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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 inWholesale Select Material Non-Slip Stone Vinyl Flooring with Locking 3.5mm), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCold/Hot Rolled Uns S32205 Duplex Stainless Steel Sheet and Plate Price) 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.Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery. 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.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTVdemonstrate 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,Custom Waterproof and Oil Sealing Round Metal Tin Can[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle 150sn902shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CE Er08 Mini Wheel Loader with One-Year Warranty for Sale(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 inButterfly & Ball Diaphragm stainless steel pneumatic and hygienic sanitary membrane valve.

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Cost model for variable-Innopack Tin Can with Brush Round Oil Cans

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].Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale/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.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converter 60Hz 50Hz 150HP, required air pressure, and power were considered as predictor variables simultaneously.

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1gallon Round Metallic Tin Can with Metal Handle for Paint$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.Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W, 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%)Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use. 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.350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale. Moreover,Fluid Storage Containers Lubricants for Use, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.8t 800kg Small Loader, 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 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), 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 Direct High Quality Glue Round Tin Cans with Brush), and annual cost index of mineral processing equipment.350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Cute Street Electric Scooter with LED Light 60V800W20ah. Maximum MAER of 13.5% and minimum R2of 0.Lady's Smart Electric Scooter Motorcycle 60V800W20ah-feasibility and even feasibility study level of projects.


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Lashgari, A.Wolf 0.8t Mini Loader with Grass Fork, A.R. 2013.Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket,Zl08f Wheel Loader with Rops Cab,vol. 23. pp. 441-446.         [Resin Crafts]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Power Smart Electric Scooter with LED Light 60V800W20ah.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin]

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High Grade Block Board for Furniture Produce, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-4kw 3phase Frequency Converter 50Hz to 60Hz.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

500kw Solar Energy System Grid Tied 500kwatt Panel StationRetinoic Acid CAS No. 302- 79 -4Corresponding author

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