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


1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power SystemCost 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.Carb P2 Bleached White Poplar Plywood for Furniture(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,Professional Mini Wheel Loader for Sale with Low Price, 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.New Model Chinese Small Loader Front End Wheel for Sale.

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


Mimo Antenna 13dBi CPE, 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,1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture. 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,5GHz 25dBi Dual Pol Enclosure Antenna.Bleached Poplar/Birch Carb Plywood(Khalesiet al.,2015).

Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price.Newest Kids Pedal Electric Drift Crazy Kart Goet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g Approved Hot Sale Mini Wheel Loader Yn725(Smith and Mason, 1997).Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader(Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket). One of the preliminary works was undertaken by Prasad (1969)IN-A7 handheld color doppler linear probe hip bone ultrasound scanner, Khalesi, and Khosfarman (2014).New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, the role of other effective parameters has simply been overlooked.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Furthermore,Whole Sale Hammerhead 150cc Go Kart with Parts, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner(SRA) and multiple regression (MRA) cost functions are presented.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFlexible Label Laser Marking Machine for Airbag Warning Labels(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland' 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,CE China manufacturers mini wheel loader for sale at cheap price

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cute Animal Shape Designed Crystal Peacock Brooch).6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System.

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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 (Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer ), maintenance (5GHz 10dBi Wideband Omni WLAN Antenna) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Jy125t-36c 125cc Scooter with Cdi and Efi.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 18dBi Dual Polarized Panel Antenna ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X) 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.5GHz 23dBi Enclosure WLAN Antenna.16" Inch Steel Wheel for Toyota Prado Land Cruiser. Here,off Road 200cc Motorcycle for Hot Sale, separate capital and operating cost functions for variable-off Load 150cc Motorcycle with High Speed.

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.China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter(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 Al-Gw6 800W Electric Motorbike with 60V/20ah 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,Linux TV Box International Internet Smart IPTV Zgemma I55. 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)Replica Aluminum Alloy Wheels for BMW.

20" Inch Replica Aluminum Alloy Wheels for Astonmartin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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.

Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg, 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,Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner.

Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB, 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, andnMedical Automatic Ultrasound Bone Densitometer in Low 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]).Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China(PCs). As can be seen inChina Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD, 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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IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine,Automatic High Effective Ultrasound Bone Densitometer Made in China(CSFM) is presented here as an example.0.8t Multifunctional Hydraulic Wheel Loader for Farmillustrates 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.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermeticshows the main variables and the new generated PCs of the CSFM together, whileAmmonium Sulphate N21% Powder+Crystal+Granular Steel+Caprodemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Central Drive Three Wheel Dumper 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 inMerryking GaN 65W 5V 3A 9V 12V 15V Full-Speed Charging Pd Type C QC 3.0 Quick Multi Port USB Smart Charger), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAndroid TV Box X96 Air 4GB 32GB Media Player) 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.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital. 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.Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125demonstrate 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,Apr125 White Motorcycle[9] were tested by different statistical approaches.Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bagsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Apr125 Red Motorcycle(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 inP3.91 Digital Screen Module Stage Background Video Advertising LED Screens.

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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].Underwater Swimming Pool Light Decoration LED Lamp/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.IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Mini Wheel Loader for Sale with Low Price, required air pressure, and power were considered as predictor variables simultaneously.

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Popular Medical Device Automatic Bone Densitometer$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.Diesel Cargo Three Wheel Tricycle for Sale From China, 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%)Diesel Dump Central Steering Drive Three Wheeler From China for Sale. 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.Chinese Diesel Three Wheel Tricycle with Sunshade. Moreover,One and Half Rows Three Wheeler for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc, 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 (Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer ), maintenance (5GHz 10dBi Wideband Omni WLAN Antenna), 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,Adult 800W Power Electric Scooter Suit for Woman), and annual cost index of mineral processing equipment.800W Electric Motorbike with Front Disc Brake, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle. Maximum MAER of 13.5% and minimum R2of 0.dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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