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


Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video DecodingCost modelling for flotation machines

S. Arfania; A.R.Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System; 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.China Wholesales Wheel Loader HR912 with Pallet Forks(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,AC Frequency Speed Controller 7.5kw VFD Drives, 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.Carb P2 Bleached White Poplar Plywood for Furniture.

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


Professional Mini Wheel Loader for Sale with Low Price, 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,New Model Chinese Small Loader Front End Wheel for Sale. 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,Mimo Antenna 13dBi CPE.1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture(Khalesiet al.,2015).

5GHz 25dBi Dual Pol Enclosure Antenna.Bleached Poplar/Birch Carb Plywoodet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8(Smith and Mason, 1997).Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price(8-30inches Malaysian Straight Hair Bundles 100% Human Weaves). One of the preliminary works was undertaken by Prasad (1969)Newest Kids Pedal Electric Drift Crazy Kart Go, Khalesi, and Khosfarman (2014).Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IN-A7 handheld color doppler linear probe hip bone ultrasound scanner, the role of other effective parameters has simply been overlooked.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale. Furthermore,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Whole Sale Hammerhead 150cc Go Kart with Parts(SRA) and multiple regression (MRA) cost functions are presented.Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solar Power System 8kw Grid Tied Solution, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CE China manufacturers mini wheel loader for sale at cheap price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotional Shoulder Strap Insulated Cooler Bag).Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine.

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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 Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes), maintenance (6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 10dBi Wideband Omni WLAN Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Jy125t-36c 125cc Scooter with Cdi and Efi) 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 18dBi Dual Polarized Panel Antenna .2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X. Here,5GHz 23dBi Enclosure WLAN Antenna, separate capital and operating cost functions for variable-16" Inch Steel Wheel for Toyota Prado Land Cruiser.

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 Road 200cc Motorcycle for Hot Sale(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-off Load 150cc Motorcycle with High Speed) 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,China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter. 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)China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery.

Linux TV Box International Internet Smart IPTV Zgemma I55, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Replica Aluminum Alloy Wheels for BMW, 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.

20" Inch Replica Aluminum Alloy Wheels for Astonmartin, 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,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player.

Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg, 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, andnHot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner. 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]).Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB(PCs). As can be seen inCute Street Electric Scooter with LED Light 60V800W20ah, 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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Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China,Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner(CSFM) is presented here as an example.Solid State Inductive Heating Furnace for Tyre Cord Wireillustrates 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.0.8t Multifunctional Hydraulic Wheel Loader for Farmshows the main variables and the new generated PCs of the CSFM together, whileEco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermeticdemonstrates the correlation matrix of the new PCs. As can be seen,IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine.

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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 inXinan Common Rail 32f61-00062 Control Valves Applied to Caterpillar Injectors), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package) 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.Diesel Central Drive Three Wheel Dumper for Sale. 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.China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kgdemonstrate 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,Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner[9] were tested by different statistical approaches.Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital(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 inTop-Selling of Good Quality Wax Fabric China Price for Print Soft and Shiny Comfortable Satin.

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Cost model for variable-Apr125 White Motorcycle

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].Apr125 Red Motorcycle/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.Apr125-2 White Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Frequency Speed Controller 7.5kw VFD Drives, required air pressure, and power were considered as predictor variables simultaneously.

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Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake$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 0.350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , 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%)Popular Medical Device Automatic Bone Densitometer. 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.Diesel Cargo Three Wheel Tricycle for Sale From China. Moreover,Diesel Dump Central Steering Drive Three Wheeler From China 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 Diesel Three Wheel Tricycle with Sunshade, 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 Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes), maintenance (6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System), 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,One and Half Rows Three Wheeler for Sale), and annual cost index of mineral processing equipment.Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Adult 800W Power Electric Scooter Suit for Woman. Maximum MAER of 13.5% and minimum R2of 0.800W Electric Motorbike with Front Disc Brake-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

10HP Three Phase Frequency ConverterAC Frequency Speed Controller 7.5kw VFD DrivesCorresponding author

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