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PA /CPP Rotort PouchCost modelling for flotation machines

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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.Customized Metal Tea Canister Food Packaging Box Round Can Tin(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,Square Tin with Airtight Lever Lid for Tea, 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.Hot Sale Factory Direct Easy Open Tin Can for Food Cannery.

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

Introduction

968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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,0.15mm Rosewood Veneer. 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,Interior Decorative Woven Veneer Customized Style.4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780(Khalesiet al.,2015).

Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(Smith and Mason, 1997).Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket(Retinoic Acid CAS 302- 79 -4 in Stock). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, the role of other effective parameters has simply been overlooked.Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer. Furthermore,Wolf Baumaschinen Zl08 Radlader with Canopy, 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-Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta(SRA) and multiple regression (MRA) cost functions are presented.0.25-1.0mm Hot Sale Natural Red Beech Veneer for 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 (Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDouble 10'' Compact Active Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults' 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,0.3mm Rotary Cut Red Wood Veneer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (African Royal Blue Bridesmaid Dresses A Line Cap Sleeve Chiffon Lace Maid of Honor Gowns A9).Gurjan Veneer Keruing.

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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 (Everun CE Approved 0.8 Ton Front End Loader), maintenance (Empty Lubricant Oil Tin Can Packaging for Motor) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port) 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.2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB. Here,970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, separate capital and operating cost functions for variable-Best Price Food Tin Metal Box Clip Lid Candy Can.

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.3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer(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-High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box) 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,High Efficicency Roof Mounting Grid Tied Home Solar Energy System. 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)488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.

969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in 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.

Rosen 9kw Grid Tied on Solar System to Global Market, 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,Frequency Converter 200HP Three Phases.

Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for, 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, andnOEM 6kw Home Grid Tied Solar Power System Without Battery. 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]).Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale(PCs). As can be seen inHigh Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, 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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800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments,High Quality Cheap Custom Logo Printing Round Metal Cans with Lids(CSFM) is presented here as an example.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyreillustrates the high correlation between predictor variables for the CSFM.

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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.Fatory Supply Thiosemicarbazide CAS 79 -19-6shows the main variables and the new generated PCs of the CSFM together, whileErbium-Doped Fiber Amplifier Optical Power Adjustable demonstrates the correlation matrix of the new PCs. As can be seen,Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid.

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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 inCustom 3D Logo Printed Fashion Travel Canvas Zipper Cosmetic Bag), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa) 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.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City. 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.800W 60V20ah Brushless Electric Motorcyclesdemonstrate 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 Engine Oil Tin Can with Screw Cap Manufacturer Lid[9] were tested by different statistical approaches.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidateshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 60Hz 50Hz 150HP(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 inWholesale China Custom Metal Imitation Hard Enamel Copenhagen Rabbit Foot Keychain for Kids.

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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].Frequency Converter 60Hz 50Hz 160HP/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.Frequency Converter 60Hz 50Hz 60HP; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Square Tin with Airtight Lever Lid for Tea, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle$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.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader, 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.Frequency Converter 50HP Three Phases. Moreover,Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3HP Three Phase Frequency Converter, 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 (Everun CE Approved 0.8 Ton Front End Loader), maintenance (Empty Lubricant Oil Tin Can Packaging for Motor), 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), and annual cost index of mineral processing equipment.10HP Three Phase Frequency Converter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. Maximum MAER of 13.5% and minimum R²of 0.China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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