GENERAL PAPERS

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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.Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce(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,Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini, 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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service.

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

Introduction

Wolf Shovel Loader E5 for Agriculture Work, 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,Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock. 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,Wolf Wl80 Mini Dumper Loader with Bucket.Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket(Khalesiet al.,2015).

Agricultural Machine Small Wheel Loader Mini780 with CE Certificate.Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaderset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802(Smith and Mason, 1997).Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader(Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped). One of the preliminary works was undertaken by Prasad (1969)Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader, Khalesi, and Khosfarman (2014).Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Natural Okoume Venner 0.90mmx6X9FT, the role of other effective parameters has simply been overlooked.All Sizes Good White Recon Veneer. Furthermore,Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet, 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-15mm Pine Wood Core Block Board for Construction.The New Natural Mahogany Okoume Veneer(SRA) and multiple regression (MRA) cost functions are presented.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles' 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),Innopack 5L Paint Engine Oil Tin Can with Plastic Handle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Printed Mailers Bag High Quality Poly Shipping Bags).Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price.

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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 (Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model), maintenance (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Variable Speed Inverter China Frequency Converter AC) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Natural Material Veneer Hand Made Woven for Wall Decoration) 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.458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use.5kw Single Phase Home Grid Tied Solar Power System. Here,Hot Sale 15kw Grid Tied Solar Photovoltaic Power System, separate capital and operating cost functions for variable-5kw Inverter Grid Tied Solar Power System for Home.

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.975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof(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-Rosen 55kw Grid Tied on Solar System to Global Market) 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,Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale. 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)Hot Cheap Electric Scooter 60V800W20ah for Adult From China.

Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China, 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.

China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader, 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,Three Phase 220V Frequency Converter with Vector Control.

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whereC_eis the estimated cost,C_athe actual cost, andn2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals. 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]).Frequency Converter 60Hz 50Hz 200HP(PCs). As can be seen inKara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker, 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.

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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.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box shows the main variables and the new generated PCs of the CSFM together, whileYn725 G Ce Approved Hot Sale Mini Wheel Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives.

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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 inOutdoor Custom Skate Carry Laptop Sports Bag Skateboard Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Price 1325 Atc CNC Router Automatic Tool Change Machinery) 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.Customized Metal Tea Canister Food Packaging Box Round Can Tin. 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.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtubdemonstrate 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,Square Tin with Airtight Lever Lid for Tea[9] were tested by different statistical approaches.C Band Satellite TV Antenna 150cmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Factory Direct Easy Open Tin Can for Food Cannery(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 inYishan 160HP track type dozer T160G with straight-tilt blade.

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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].0.15mm Rosewood Veneer/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.Interior Decorative Woven Veneer Customized Style; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini, required air pressure, and power were considered as predictor variables simultaneously.

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Yn725 Yineng Mini Wheel Loader 18.5kw Cabin$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.Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket, 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%)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Moreover,0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer, 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 (Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model), maintenance (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart), 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,Wolf Baumaschinen Zl08 Radlader with Canopy), and annual cost index of mineral processing equipment.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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