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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.Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm(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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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.Gurjan Veneer Keruing.

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

Introduction

Everun CE Approved 0.8 Ton Front End Loader, 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,Empty Lubricant Oil Tin Can Packaging for Motor. 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,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof.2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Rosen 9kw Grid Tied on Solar System to Global Market, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Converter 200HP Three Phases' 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),Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Design 100% Polyester jacquard Fabric Window Curtains Stock).Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China.

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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 (Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City), maintenance (Square Engine Oil Tin Can with Screw Cap Manufacturer Lid) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Frequency Converter 60Hz 50Hz 150HP.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Converter 60Hz 50Hz 125HP) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Frequency Converter 60Hz 50Hz 160HP) 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.Frequency Converter 60Hz 50Hz 60HP.Frequency Converter 60Hz 50Hz 75HP. Here,Frequency Converter 75HP Three Phases, separate capital and operating cost functions for variable-Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle.

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.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader(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-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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 50HP Three Phases. 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)Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale.

3HP Three Phase Frequency Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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.

10HP Three Phase Frequency Converter, 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,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

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whereC_eis the estimated cost,C_athe actual cost, andnZl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End. 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]).Wl80 Mini Loader with Yanmar Engine(PCs). As can be seen inLong Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse, 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.Wild Bee Venom Extract Melittin 99% Powder for Skin Careshows the main variables and the new generated PCs of the CSFM together, while5GHz 18dBi Sector WiFi Antennademonstrates the correlation matrix of the new PCs. As can be seen,2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit 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 inLarge Capacity Rock Jaw Crusher), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ) 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.Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard. 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.Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa 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,Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor[9] were tested by different statistical approaches.AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Everun Brand Mini Front End Loader 0.8 Ton Wheel(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 inQt4-18 Block Making Machine Turkish Thermal.

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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].Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults/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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, required air pressure, and power were considered as predictor variables simultaneously.

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off Grid 20kw Solar System 20 Kw Panel Kit$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.Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult, 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%)Rosen 1kw Grid Tied on Solar System to Global Market. 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.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use. Moreover,959 33kw on Grid Solar Home System with Power Inverter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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 (Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City), maintenance (Square Engine Oil Tin Can with Screw Cap Manufacturer Lid), 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,Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery), and annual cost index of mineral processing equipment.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for HomeWolf Mini Loader Wl80 with Grass CutterCorresponding author