GENERAL PAPERS

Fatory Supply Thiosemicarbazide CAS 79 -19-6Cost modelling for flotation machines

S. Arfania; A.R.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters BikeErbium-Doped Fiber Amplifier Optical Power Adjustable ; M.R. Khalesi

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.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta(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,0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture, 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.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch.

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

Introduction

Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults, 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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,Natural Wood Veneer Oak /Cherry/Walnut MDF Board.Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List(Khalesiet al.,2015).

Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket.0.3mm Rotary Cut Red Wood Veneeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Super Power LED Lighting 100W Flicker Free Ceiling Lamp(Smith and Mason, 1997).Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm(Solar Energy System 10kw 15kw Grid Tied Hybrid PV). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Khalesi, and Khosfarman (2014).Gurjan Veneer Keruing; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Everun CE Approved 0.8 Ton Front End Loader, the role of other effective parameters has simply been overlooked.Empty Lubricant Oil Tin Can Packaging for Motor. Furthermore,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/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-2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture.New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port(SRA) and multiple regression (MRA) cost functions are presented.2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. 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 (Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof' 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,488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheap Custom Nigeria Saudi Arabia UAE Qatar Two Flag Pin Brooch Badge Wholesale Bangladesh Kuwait Philipes UK National Double Enamel Metal Lapel).Rosen 9kw Grid Tied on Solar System to Global Market.

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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 (Frequency Converter 200HP Three Phases), maintenance (Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,OEM 6kw Home Grid Tied Solar Power System Without Battery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults) 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.800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments.High Quality Cheap Custom Logo Printing Round Metal Cans with Lids. Here,Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid, separate capital and operating cost functions for variable-Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China.

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.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City(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-Square Engine Oil Tin Can with Screw Cap Manufacturer Lid) 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,Frequency Converter 60Hz 50Hz 150HP. 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)Frequency Converter 60Hz 50Hz 125HP.

Frequency Converter 60Hz 50Hz 160HP, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency Converter 60Hz 50Hz 60HP, 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.

Frequency Converter 60Hz 50Hz 75HP, 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 75HP Three Phases.

Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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, andnCE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader. 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]).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(PCs). As can be seen inBl-Xgw Electric Motorcycle, 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.High Back Executive Boss Single Office Sofa Swivel Reception Chairshows the main variables and the new generated PCs of the CSFM together, whilePolythene Plastic Sheet Making Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 inIndoor P7.62 Pixel LED Video Wall/Electronic Display/Advertising Screen), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from100% Water Soluble Vitamin a Palmitate Powder Retinyl) 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 0.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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.Quadrant Stainless Steel Shower Room with 8mm Tempered Glassdemonstrate 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,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls[9] were tested by different statistical approaches.D&B Style Dual 10 Inch Compact Line Array shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End(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 in63A 220V Industrial Plug and Socket IP67 Waterproof 2p E.

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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].Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle/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.Solar Energy System 10kw 15kw Grid Tied Hybrid PV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture, required air pressure, and power were considered as predictor variables simultaneously.

Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Moreover, the operating cost was detailed in different cost items.2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, indicated in3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, and major extrapolation should be avoided.

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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.Everun Brand Mini Front End Loader 0.8 Ton Wheel. Moreover,Zl08 800kg China Small Garden Tractor with Front Loader Yard, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults, 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 (Frequency Converter 200HP Three Phases), maintenance (Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for), 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.Bulk Fashion Smart Electric Scooter 60V800W20ah, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,962 Complete Solar System 40kw on Grid Home with High Quality. Maximum MAER of 13.5% and minimum R²of 0.off Grid 20kw Solar System 20 Kw Panel Kit-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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