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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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S. Arfania; A.R.French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin CanJarol Frequency Inverter with High Quality ; M.R. Khalesi

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.250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap(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,SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, 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.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans.

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


Introduction

1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, 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,2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel. 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,China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin.Chinese Eougem Zl08 Wheel Loader with Torque Converter(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Solar Energy System 5kw Panel Home Grid Tied Power, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 " Inch Speaker System PRO Audio Entertainment Speakers (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;200kw Grid Tied Solar System for Factory Use' 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,Hot selling compact 800kgs wheel loader for garden, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Efficiency 6kw Grid Tied Solar Power System for Home(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New 100% Natural 10ml Bergamot Essential Oil Massage Aromatherapy OEM).China Safe Automatic CVT 150cc Go Kart Motor with Reverse.

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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 (3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive), maintenance (Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Carb P2 Plywood/EPA Plywood /Okoume.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Variable Speed Drive Phree Phase Frequency Converter 1000Hz) 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.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory.3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive. Here,Carb P2 Okoume Plywood for Furniture, separate capital and operating cost functions for variable-15mm AAA Grade Film Faced Plywood with WBP Glue.

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 Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality(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-Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging) 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,150CC Go Kart . 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)Full Size 150cc Go Kart .

Go Kart , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid, 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.

Wolf Wl80 Mini Dumper Euro 5 Loader 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,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.

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whereCeis the estimated cost,Cathe actual cost, andnWLAN WiFi Yagi Antenna. 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]).External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna(PCs). As can be seen inMexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2, 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.Peptide Cosmetics CAS 155149- 79 -4 Capixylshows the main variables and the new generated PCs of the CSFM together, while0.8 Ton Mini Wheel Loader with Lowest Pricedemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme.

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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 inNew Arrival Round Acrylic Massage Hot Tub with Aristech), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims) 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 0.2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. 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.Professional Active Powered Line Array Speaker Mini 5 Inch Audiodemonstrate 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,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip[9] were tested by different statistical approaches.China Wholesales Wheel Loader HR912 with Pallet Forksshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top(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 inCNC Full Enclosed Stainless Steel Fiber Laser Cutting Machine.

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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].15kw Grid Tied Solar Power System for Home Use/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.Grid Tied 100kw 200kw 300kw Solar System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, required air pressure, and power were considered as predictor variables simultaneously.

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Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W$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.Adv. 1 Alloy Wheel , 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%)150cc 4-Stroke. In the MRA cases, this property is owed to the SFM (3.05%).

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.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna. Moreover,Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, 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 (3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive), maintenance (Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter), 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,New Design 800W 1000W Electric Scooter Motorcycle for Riding), and annual cost index of mineral processing equipment.5.8GHz 30dBi Single-Pol Die Cast Grid Antenna, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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