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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.Empty Lubricant Oil Tin Can Packaging for Motor(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,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof, 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 0.2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture.

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

Introduction

New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port, 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,2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. 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,Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB.970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLong Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter 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,Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Converter 60Hz 50Hz 150HP(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Latest Popularl Luxurious Wedding Dress Women Clothing Uw4057).Frequency Converter 60Hz 50Hz 125HP.

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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 60Hz 50Hz 160HP), maintenance (Frequency Converter 60Hz 50Hz 60HP) 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 75HP.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Converter 75HP Three Phases) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle) 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.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Here,Frequency Converter 50HP Three Phases, separate capital and operating cost functions for variable-Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale.

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.3HP Three Phase Frequency Converter(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,10HP Three Phase Frequency Converter. 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)957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle.

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whereC_eis the estimated cost,C_athe actual cost, andnYn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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]).2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use(PCs). As can be seen inLf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker , 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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Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard,Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor(CSFM) is presented here as an example.5GHz 18dBi Sector WiFi Antennaillustrates 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.12inch Stage Monitor Speakershows the main variables and the new generated PCs of the CSFM together, whileChina Factory Supplier Ophthalmic Equipment Ab Scandemonstrates the correlation matrix of the new PCs. As can be seen,Everun Brand Mini Front End Loader 0.8 Ton Wheel.

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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 inEconomic CNC Hobby Router for Wood 1325 Window machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa ) 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.Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults. 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.Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18demonstrate 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin[9] were tested by different statistical approaches.Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwhshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bulk Fashion Smart Electric Scooter 60V800W20ah(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 inSanitary quality stainless steel handle butterfly valve.

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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].off Grid 20kw Solar System 20 Kw Panel Kit/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.Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof, required air pressure, and power were considered as predictor variables simultaneously.

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959 33kw on Grid Solar Home System with Power Inverter$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 0.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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%)Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery. 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.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. Moreover,0.18mm Zebra Wooden Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, 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 60Hz 50Hz 160HP), maintenance (Frequency Converter 60Hz 50Hz 60HP), 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,High Grade Block Board for Furniture Produce), and annual cost index of mineral processing equipment.954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. Maximum MAER of 13.5% and minimum R²of 0.32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush-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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