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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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S. Arfania; A.R.Three Phase 220V Frequency Converter with Vector ControlVegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate; 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.China Frequency Converter Variable Speed Drive(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,2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals, 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.Frequency Converter 60Hz 50Hz 200HP.

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


Introduction

Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush, 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,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,Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives(Khalesiet al.,2015).

Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food.Customized Metal Tea Canister Food Packaging Box Round Can Tinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014(Smith and Mason, 1997).Square Tin with Airtight Lever Lid for Tea(Electric Motorcycle ). One of the preliminary works was undertaken by Prasad (1969)Hot Sale Factory Direct Easy Open Tin Can for Food Cannery, Khalesi, and Khosfarman (2014).968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.15mm Rosewood Veneer, the role of other effective parameters has simply been overlooked.Interior Decorative Woven Veneer Customized Style. Furthermore,4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780, 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-Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(SRA) and multiple regression (MRA) cost functions are presented.Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket. 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5(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,Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Unique Aroma Fahrenheit Men's Perfume Woody Floral Bulk Fragrance Oil for Brand).Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults.

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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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Natural Wood Veneer Oak /Cherry/Walnut MDF Board) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.3mm Rotary Cut Red Wood Veneer) 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.Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Here,Gurjan Veneer Keruing, separate capital and operating cost functions for variable-Everun CE Approved 0.8 Ton Front End Loader.

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.Empty Lubricant Oil Tin Can Packaging for Motor(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-974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof) 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,2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture. 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)New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port.

2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Best Price Food Tin Metal Box Clip Lid Candy Can.

3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, 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).

whereCeis the estimated cost,Cathe actual cost, andnHigh Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box. 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]).High Efficicency Roof Mounting Grid Tied Home Solar Energy System(PCs). As can be seen inBest Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speakershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9demonstrates the correlation matrix of the new PCs. As can be seen,Rosen 9kw Grid Tied on Solar System to Global Market.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inAcrylic Hot Whirlpool Bathub Sale Bath Tub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFatory Supply Thiosemicarbazide CAS 79 -19-6) 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 Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for. 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.Solar Energy System 10kw 15kw Grid Tied Hybrid PVdemonstrate 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,OEM 6kw Home Grid Tied Solar Power System Without Battery[9] were tested by different statistical approaches.5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale(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 inBrand New Composite FRP Manhole Cover SMC Machine.

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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].800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments/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

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Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City$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.Square Engine Oil Tin Can with Screw Cap Manufacturer 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%)Frequency Converter 60Hz 50Hz 150HP. 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.Frequency Converter 60Hz 50Hz 125HP. Moreover,Frequency Converter 60Hz 50Hz 160HP, 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 60HP, 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Natural Wood Veneer Oak /Cherry/Walnut MDF Board), 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 75HP), and annual cost index of mineral processing equipment.Frequency Converter 75HP Three Phases, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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