GENERAL PAPERS

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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.Natural Okoume Venner 0.90mmx6X9FT(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,All Sizes Good White Recon Veneer, 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.Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet.

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

Introduction

15mm Pine Wood Core Block Board for Construction, 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,The New Natural Mahogany Okoume 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,Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture.982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 G Ce Approved Hot Sale Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Variable Speed Inverter China Frequency Converter AC' 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),Rosen 55kw Grid Tied on Solar System to Global Market(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Rechargeable Mosquito Swatter with LED Light and Flashlight).Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale.

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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 (Hot Cheap Electric Scooter 60V800W20ah for Adult From China), maintenance (Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Three Phase 220V Frequency Converter with Vector Control) 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.China Frequency Converter Variable Speed Drive.2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals. Here,Frequency Converter 60Hz 50Hz 200HP, separate capital and operating cost functions for variable-Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush.

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.Okoume Veneer(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-Luneng 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,Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives. 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)Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food.

Customized Metal Tea Canister Food Packaging Box Round Can Tin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Square Tin with Airtight Lever Lid for Tea, 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.

Hot Sale Factory Direct Easy Open Tin Can for Food Cannery, 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,968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.

0.15mm Rosewood Veneer, 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, andnInterior Decorative Woven Veneer Customized Style. 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]).4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780(PCs). As can be seen inM7 Model LHD&Rhd EV with Solar Panel Pure Electric Car, 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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Yn725 Yineng Mini Wheel Loader 18.5kw Cabin,Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket(CSFM) is presented here as an example.Closed Canvas Box 2 Ton Cargo Tricycleillustrates 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.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtubshows the main variables and the new generated PCs of the CSFM together, whileC Band Satellite TV Antenna 150cmdemonstrates 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 in75% Alcohol Hand Sanitizer Wash Free with Certification), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar Pump Frequency Inverter MPPT Fuction 15kw Made in China) 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 0.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage. 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.Portable On-Site Pipe Tube Chamfering Chamfer Machinedemonstrate 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,Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer[9] were tested by different statistical approaches.4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wolf Baumaschinen Zl08 Radlader with Canopy(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 inApparel Accessory Fashion Crystal Button Vgt4531.

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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].Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta/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.0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,All Sizes Good White Recon Veneer, required air pressure, and power were considered as predictor variables simultaneously.

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Yn725 Yineng Mini Wheel Loader 18.5kw Cabin$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.Natural Wood Veneer Oak /Cherry/Walnut MDF Board, 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%)Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List. 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.Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket. Moreover,0.3mm Rotary Cut Red Wood Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm, 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 (Hot Cheap Electric Scooter 60V800W20ah for Adult From China), maintenance (Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter), 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.Gurjan Veneer Keruing, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Everun CE Approved 0.8 Ton Front End Loader. Maximum MAER of 13.5% and minimum R²of 0.Empty Lubricant Oil Tin Can Packaging for Motor-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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