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.Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini(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,Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service, 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.Wolf Shovel Loader E5 for Agriculture Work.

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

Introduction

Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock, 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,Wolf Wl80 Mini Dumper Loader with Bucket. 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,Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket.Agricultural Machine Small Wheel Loader Mini780 with CE Certificate(Khalesiet al.,2015).

Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders.Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding(Smith and Mason, 1997).Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader(Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers). One of the preliminary works was undertaken by Prasad (1969)Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box, Khalesi, and Khosfarman (2014).Natural Okoume Venner 0.90mmx6X9FT; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,All Sizes Good White Recon Veneer, the role of other effective parameters has simply been overlooked.Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet. Furthermore,15mm Pine Wood Core Block Board for Construction, 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-The New Natural Mahogany Okoume Veneer.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture(SRA) and multiple regression (MRA) cost functions are presented.982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial. 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 (2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1HP Frequency Converter Vector Three Phase(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM' 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,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Innopack 5L Paint Engine Oil Tin Can with Plastic Handle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM ODM Custom Private Label Makeup Bags Packaging Portable Navel Handle Cosmetic Bag for Travel).Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model.

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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 (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart), maintenance (Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Variable Speed Inverter China Frequency Converter AC.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Natural Material Veneer Hand Made Woven for Wall Decoration) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use) 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.5kw Single Phase Home Grid Tied Solar Power System.Hot Sale 15kw Grid Tied Solar Photovoltaic Power System. Here,5kw Inverter Grid Tied Solar Power System for Home, separate capital and operating cost functions for variable-975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof.

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.Rosen 55kw Grid Tied on Solar System to Global Market(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-Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale) 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,Hot Cheap Electric Scooter 60V800W20ah for Adult From China. 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)Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter.

Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader, 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.

Three Phase 220V Frequency Converter with Vector Control, 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 Frequency Converter Variable Speed Drive.

2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals, 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, andnFrequency Converter 60Hz 50Hz 200HP. 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]).Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush(PCs). As can be seen inMaster Batch Organic Colors, 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.Single/Three Phase 220V 380V Vector Control Frequency Convertershows the main variables and the new generated PCs of the CSFM together, whileChina E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girlsdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food.

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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 inWholesale Price Unstuffed Plush Animal Toy Dog Skins for Different Shapes), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromUnderwater Swimming Pool Light Decoration LED Lamp with Edison Chip) 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.Square Tin with Airtight Lever Lid for Tea. 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.Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Showdemonstrate 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 Sale Factory Direct Easy Open Tin Can for Food Cannery[9] were tested by different statistical approaches.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof(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 inLED TV 4s 65 Global 4K Hdr Voice Remote Control Metal Body 2GB 16GB Large Storage Smart Television.

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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].Interior Decorative Woven Veneer Customized Style/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.4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service, required air pressure, and power were considered as predictor variables simultaneously.

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Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket$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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage. Moreover,Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wolf Baumaschinen Zl08 Radlader with Canopy, 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 (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart), maintenance (Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver), 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,Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike), and annual cost index of mineral processing equipment.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta, 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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