GENERAL PAPERS

Bio-Degradable Brown Kraft Food Packaging BagCost modelling for flotation machines

S. Arfania; A.R.Mini Wheel Loader Hot Sale with Pallet Fork Zl908China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask; 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.220V 3HP Frequency Converter(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,AC Frequency Converter2HP 1phase, 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.China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save.

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

Introduction

Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter, 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,Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes. 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,Articulated Compact Small Mini Wheeled Dumper Loader.Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact(Khalesiet al.,2015).

7.5HP Frequency Converter Vector.New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Qualityet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery(Smith and Mason, 1997).Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce(1500cc Watercraft with 3seat). One of the preliminary works was undertaken by Prasad (1969)Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader, Khalesi, and Khosfarman (2014).G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor, the role of other effective parameters has simply been overlooked.Vectron Frequency Inverter. Furthermore,Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket, 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-Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price.OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV(SRA) and multiple regression (MRA) cost functions are presented.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box. 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 (Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module Card(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine, 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 Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Custom Ear-Hanging Protective Disposable Face Masks).800kg Farm Mini Loader Chargeur Minilader Cargador.

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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 (Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D), maintenance (VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Radlader Zl08 Wheel Loader for Sale Mini Articulated.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Customized Bintangor Plywood Face Veneer of Commercial) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android) 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.0.18mm Engineered Wood Face Veneer.4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box. Here,Dyed Skateboard Veneer, separate capital and operating cost functions for variable-J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box.

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.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood(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-Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter) 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,Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood. 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)Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India.

0.8ton Contruction Machine Mini Small Wheel Loader with Bucket, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, 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.

Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, 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,Natural Wood Sapele Veneer Plywood for Furniture Grade.

20mm Plywood or Timber, 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, andnCheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood. 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]).Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm(PCs). As can be seen inTransparent Nylon 12 Resin Raw Material Polyamide Granules, 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.Cosmetic Grade Ultramarine Violet Manufacturershows the main variables and the new generated PCs of the CSFM together, whileSA831r Outdoor Return Path CATV Trunk Amplifierdemonstrates the correlation matrix of the new PCs. As can be seen,Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality.

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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 inWedding Dress), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromB&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker) 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.Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale. 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.4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection Systemdemonstrate 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,Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower[9] were tested by different statistical approaches.Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tiedshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork(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 inSupply Large Inventory 99.7% Min Silver Sulfate CAS 10294-26-5 Thickener.

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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].4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back/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.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Frequency Converter2HP 1phase, required air pressure, and power were considered as predictor variables simultaneously.

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Sapele Veneer Plywood Sheet for Wood Furniture and Decoration$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 0.2.8X1.9 Large Size Rotary Cut Okoume Face Veneer, 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%)Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive. 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.Veneer Engineer Poplar Cross Grain 0.50mm. Moreover,380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, 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 (Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D), maintenance (VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine), 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,Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter), and annual cost index of mineral processing equipment.Frequency Converter, 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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