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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.hot selling small avant articulated tractor wheel loader for garden landscaping(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,UV White Birch Plywood 18mm Carb E0 Cabinet, 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 0.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood.

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

Introduction

China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas, 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,Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic. 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,350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive.French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;48V/60V 800W Electric Scooter with Lead-Acid Battery' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),200kw Grid Tied Solar System for Factory Use(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1 Year Warranty High Efficient Hobby Metal Lathe Machine).Grid Tied Inverter 10kw 15kw 20kw Home Set Solar 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 (1kw Solar Power System Grid Tied 1000W on Panel Price), maintenance (Commercial Solar System 100kw Grid Tied /on 100kVA 60kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot selling compact 800kgs wheel loader for garden) 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.High Efficiency 6kw Grid Tied Solar Power System for Home.China Safe Automatic CVT 150cc Go Kart Motor with Reverse. Here,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, separate capital and operating cost functions for variable-Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter.

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.Carb P2 Plywood/EPA Plywood /Okoume(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-Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China) 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,Variable Speed Drive Phree Phase Frequency Converter 1000Hz. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Carb P2 Okoume Plywood for Furniture, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

15mm AAA Grade Film Faced Plywood with WBP Glue, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality.

Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging, 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).

whereC_eis the estimated cost,C_athe actual cost, andn150CC Go Kart . 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]).Full Size 150cc Go Kart (PCs). As can be seen in0.3mm Rotary Cut Red Wood Veneer, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.

Go Kart

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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.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for Indiashows the main variables and the new generated PCs of the CSFM together, whileNatural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Freedemonstrates the correlation matrix of the new PCs. As can be seen,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inUL/CE/RoHS), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump) 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.WLAN WiFi Yagi Antenna. 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.Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programmingdemonstrate 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,External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna[9] were tested by different statistical approaches.PE/ PA /CPP Food Vacuum Packing Bag Plastic Gradeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.150cc Go Kart with EEC (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 inFashionable Jewelry 925 Sterling Silver or Brass Cubic Zirconia Hip Hop Ring for Women.

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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].Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile/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.High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,UV White Birch Plywood 18mm Carb E0 Cabinet, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip$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.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, 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%)Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box. 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.15kw Grid Tied Solar Power System for Home Use. Moreover,Grid Tied 100kw 200kw 300kw Solar System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, 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 (1kw Solar Power System Grid Tied 1000W on Panel Price), maintenance (Commercial Solar System 100kw Grid Tied /on 100kVA 60kw), 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,Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale), and annual cost index of mineral processing equipment.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Adv. 1 Alloy Wheel . Maximum MAER of 13.5% and minimum R²of 0.150cc 4-Stroke-feasibility and even feasibility study level of projects.

References

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Mular, A.L. 1982.5GHz 12dBi Dual Polarity MIMO Omni Antenna.Electric Motorcycle Fashion Design 800W with Removable Battery.5GHz 18dBi Dual Polarization Panel WLAN Antenna, Montreal. 265 pp.         [Frequency Converter 50HP Three Phases]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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