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



Grid Tied 5kw Solar Energy System Home Power 5000W for Roof TileCost modelling for flotation machines

S. Arfania; A.R.860MHz Two Way Amplifier Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line; 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.5GHz Parabolic Grid Antenna 24dBi(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,5GHz 30dBi Mimo Dish Antennas, 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.China Factory Supplier Ophthalmic Equipment Ab Scan.

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


Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna, 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,24 Channels Fixed Modulator. 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,5150-5850MHz Sector Panel Antenna 2*17dBi.12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar(Khalesiet al.,2015).

Replica Aluminum Alloy Wheels for Skoda.Best Price Sab-500 Ophtalmic Ab Scanet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader(Smith and Mason, 1997).Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25(1L Metal Screw Top Round Machine Oil Tank). One of the preliminary works was undertaken by Prasad (1969)Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, Khalesi, and Khosfarman (2014).80kw Grid Tied Solar System for Commercial or Industrial Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, the role of other effective parameters has simply been overlooked.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type. Furthermore,Ophthalmic Equipment Biometer Scan a, 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-0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer.860MHz CATV One Way Amplifiers(SRA) and multiple regression (MRA) cost functions are presented.CATV Mini Line Extending 2-Way Amplifer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (20MHz Probe Ophthalmology Ultrasound MD-2300S, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;860MHz Two Way Amplifier ' 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,500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Latest office building multi-storey steel structure construction for sale).Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack.

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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 (1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System), maintenance (Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Everun Er08 CE Wheel Loader with Standard Bucket for Sale) 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.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V. Here,Loader, separate capital and operating cost functions for variable-18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light.

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.Samll EPA 0.8ton Tractor Loader(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-Closed Motorized China Cargo Tricycle with Box ) 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,Covered Tricycle Carriage Closed Cargo Box. 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)Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty.

0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Metal Packing Chemical Round Tin Can, 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.

1 Liter Cans for Curing Agent, 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,Cone Top 1 Liter Glue Usage Tin Can.

High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, 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, andnSuper Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light. 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]).PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty(PCs). As can be seen inNon Standard Eco Friendly Rubber Seal O-Ring, 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.Sofa Set Fabric Velvet Furnitureshows the main variables and the new generated PCs of the CSFM together, whileLong Using Life Shuttering Plywood with Logo for Constructiondemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips.

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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 40cm PE Form Flower Artificial Rose Unicorns for Valentine's Day Gift), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDigital Display Hygienic Pressure Indicator Transmitter) 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.Motor Auto Hydraulic Open Three Wheel Motorcycle 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.Double 10inch Line Array System Box demonstrate 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,Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty[9] were tested by different statistical approaches.Pneumatic Pipe Beveling Machine High Performenceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20watt Mopa Laser Marking Machine for Anodized Aluminum Black(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 inCar Emblem Alphabet Back 3mm Glue Plastic Badge.

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Cost model for variable-Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips

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].No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty/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 E Bike Best Mini Electric for Adults; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5GHz 30dBi Mimo Dish Antennas, required air pressure, and power were considered as predictor variables simultaneously.

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No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports$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 0.60V800W Electric Scooter with Highlight Rear Box, 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%)Empty Canister White Metal Round Packaging Cans Box Tea Tins. 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.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle. Moreover,No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet, 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 (1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System), maintenance (Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power), 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,Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped), and annual cost index of mineral processing equipment.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & NutsIN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machineCorresponding author

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