GENERAL PAPERS

4-20mA Diffused Silicon Micro Size Hygienic Pressure TransducerCost 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.Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China(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,China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader, 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.Three Phase 220V Frequency Converter with Vector Control.

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

Introduction

China Frequency Converter Variable Speed Drive, 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 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals. 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,Frequency Converter 60Hz 50Hz 200HP.Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush(Khalesiet al.,2015).

Okoume Veneer.Luneng 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 Top Quality Comfortable Furniture Sets Living Room Sofa(Smith and Mason, 1997).Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives(Low Frequency Inverter AC Drive). One of the preliminary works was undertaken by Prasad (1969)Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food, Khalesi, and Khosfarman (2014).Customized Metal Tea Canister Food Packaging Box Round Can Tin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Square Tin with Airtight Lever Lid for Tea, the role of other effective parameters has simply been overlooked.Hot Sale Factory Direct Easy Open Tin Can for Food Cannery. Furthermore,968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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-0.15mm Rosewood Veneer.Interior Decorative Woven Veneer Customized Style(SRA) and multiple regression (MRA) cost functions are presented.4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780. 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 Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725 Yineng Mini Wheel Loader 18.5kw Cabin' 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,Chinese Suppliers B/C/D/E Grade Wood/Natural Birch 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,Wolf Baumaschinen Zl08 Radlader with Canopy, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30ft 3axle Full Cargo Skeletal Container Semi Trailer).Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta.

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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 (0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture), maintenance (Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Natural Wood Veneer Oak /Cherry/Walnut MDF Board) 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.Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List.Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket. Here,0.3mm Rotary Cut Red Wood Veneer, separate capital and operating cost functions for variable-Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm.

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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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-Gurjan Veneer Keruing) 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,Everun CE Approved 0.8 Ton Front End Loader. 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)Empty Lubricant Oil Tin Can Packaging for Motor.

974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/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 (2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy 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.

New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port, 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,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, 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, andn970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. 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]).Best Price Food Tin Metal Box Clip Lid Candy Can(PCs). As can be seen inHigh Purity Amino Acid L-Arginine Powder, 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.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bikeshows the main variables and the new generated PCs of the CSFM together, whileAL908 0.8ton Wheel Loader Machinery for Saledemonstrates the correlation matrix of the new PCs. As can be seen,488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.

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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 in2021 High Quality Aluminum Door Use Floor Hinge Glass Hardware), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from20" Inch Replica Aluminum Alloy Wheels for Astonmartin) 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 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China. 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.China Best Price Agriculture Fertilizer with Nitrogen 21%demonstrate 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,Rosen 9kw Grid Tied on Solar System to Global Market[9] were tested by different statistical approaches.Veneer Engineer Poplar Cross Grain 0.50mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 200HP Three Phases(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 inBlank Solid Promotion Short Sleeve Running T Shirt Custom Printing O Neck Wholesale Cheap Hot Sale.

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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].OEM 6kw Home Grid Tied Solar Power System Without Battery/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.Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Cheap Custom Logo Printing Round Metal Cans with Lids$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.Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid, 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%)Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China. 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.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City. Moreover,Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Converter 60Hz 50Hz 150HP, 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 (0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture), maintenance (Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch), 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,Frequency Converter 60Hz 50Hz 125HP), and annual cost index of mineral processing equipment.Frequency Converter 60Hz 50Hz 160HP, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Frequency Converter 60Hz 50Hz 60HP. Maximum MAER of 13.5% and minimum R²of 0.Frequency Converter 60Hz 50Hz 75HP-feasibility and even feasibility study level of projects.

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2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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