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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.150cc Cheap Open Gas Reverse Trike (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,Sport Using Motor Vehicle with Sealed Chain Final Drive, 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.GS-a 12mm CATV Fixed RF Attenuator.

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


Introduction

250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale, 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,Automatic High Effective Medical Ultrasound Bone Densitometer . 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,New 50cc Monkey Bike Gasoline Motorcycle Euro 4.China 250cc New 3 Wheel Motorcycle Motor Tricycle(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (New Racing Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20 mm 20mm PVC Pipe Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cheap 3 Wheel Cargo Tricycle with Box ' 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,China Ophthalmic Equipment

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fish Seafood Storage Walk in Frozen Freezer Room).Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen.

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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 (Ho-100 Ophthalmic Ultrasound a Scan Pachymeter), maintenance (Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz Antenna High Gain 29dBi) 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.2.4- 5GHz MIMO Omni Antenna with 2.4G Network System.Sector Antenna 5GHz. Here,Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, separate capital and operating cost functions for variable-2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi.

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.2.4- 5GHz MIMO Omni Antenna with 11dBi(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-2.4- 5GHz Omni Antenna ) 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,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25. 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)1L Tin Can for Oil.

Trade Peak Lowest Price for 150cc ATV, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20, 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.

2021 New China Adult Tricycle Motor Cargo for Sale, 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,Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern..

Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price, 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, andnEverun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket. 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]).2021 New Model 125cc 150cc Ce Approval off Road ATV(PCs). As can be seen inPin Machine Suppliers Marker Systems, 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.Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouchesshows the main variables and the new generated PCs of the CSFM together, whileMixer Power Amplifier with USBdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce.

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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 inStainless Steel Chain Hoists), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture) 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.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter. 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.Rotary Cut Bintagor Veneer for Panels and Furniture with Good Pricedemonstrate 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,1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw[9] were tested by different statistical approaches.125cc Scooter EEC Popular Motor Alexshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire(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 in925 Sterling Silver Bangle Charm Full Diamond Arrow Opening Trendy Fashion Jewelry.

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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].Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sport Using Motor Vehicle with Sealed Chain Final Drive, required air pressure, and power were considered as predictor variables simultaneously.

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Conclusion

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.Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25. Moreover,25KW Ground Mini loader price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System, 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 (Ho-100 Ophthalmic Ultrasound a Scan Pachymeter), maintenance (Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler), 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,Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 25kw, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip, Montreal. 265 pp.         [SP-KS410) Customized Fabric Softwood Frame Sofa]

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L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20, 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.         [Building Material 8mm PVC Vinyl Flooring Waterproof for Home]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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