GENERAL PAPERS

High Quality Coffee /Candy/Weed /Hemp Plastic ContainerCost modelling for flotation machines

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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.Articulated Compact Small Mini Wheeled Dumper Loader(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,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact, 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 0.7.5HP Frequency Converter Vector.

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

Introduction

New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality, 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,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce. 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,Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader.G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMethyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy' 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,VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Radlader Zl08 Wheel Loader for Sale Mini Articulated, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Customized Bintangor Plywood Face Veneer of Commercial(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Best Quality Nmn 1094-61-7 Powder Anti-Aging Third-Party Laboratory Testing).Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android.

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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 (0.18mm Engineered Wood Face Veneer), maintenance (4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Dyed Skateboard Veneer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood) 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.Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter.Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood. Here,Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India, separate capital and operating cost functions for variable-0.8ton Contruction Machine Mini Small Wheel Loader with Bucket.

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.Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture(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-Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood) 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,Natural Wood Sapele Veneer Plywood for Furniture Grade. 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)20mm Plywood or Timber.

Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm, 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.

10'x6' Rotary Cut Okoume Veneer for 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,Engineer Veneer Ebony.

800kg China Articulated Mini Small Compact Front End Wheel Loaders, 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, andnHzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality. 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]).0.8t Snow Plow Loader Zl08 Mini Wheel(PCs). As can be seen in5.8GHz 30dBi Single-Pol Die Cast Grid Antenna, 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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Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork(CSFM) is presented here as an example.China Manufacturer Decorative Engineered Wood Veneerillustrates 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.4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Boxshows the main variables and the new generated PCs of the CSFM together, whileMotorcycle for 1405mm of Wheel Basedemonstrates the correlation matrix of the new PCs. As can be seen,Zl08f Construction Machine Farm Tractors Mini Compact Loaders.

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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 inChristmas Plastic Unicorn Hanging Decor for Holiday Wedding Party Decoration Supplies Hook Ornament Craft Gifts), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSupper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe) 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 0.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell. 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.OTR Heavy Loader Tyre L5 20.5-25 Size Best Pricedemonstrate 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,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price[9] were tested by different statistical approaches.500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bikeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor(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 in8500dse 7.5kVA 8kVA Auto Start Air Cooled Silent Power Diesel Generator.

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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].2.8X1.9 Large Size Rotary Cut Okoume Face Veneer/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.Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact, required air pressure, and power were considered as predictor variables simultaneously.

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Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy$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.Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter, 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. 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.1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive. Moreover,Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor, 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 (0.18mm Engineered Wood Face Veneer), maintenance (4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box), 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,Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader), and annual cost index of mineral processing equipment.1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3Double Slipper Two Upper End Freestanding Soaking New Bath TubCorresponding author