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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.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock(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,Custom Aluminum Foil Laminated Bag with Zipper, 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.High Purity O-Phthalaldehyde.

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

Introduction

PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, 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,Quality Assurance O-Phthalaldehyde. 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,High Power Speaker Dual 10 " PRO/Professional Audio Line Array .10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array(Khalesiet al.,2015).

Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Diseaseet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for ISO Certified 100% Natural L-Arginine Powder(Smith and Mason, 1997).Hrk Provide Topiramate Powder Price CAS 97240- 79 -4(Frequency Inverter Solar Pump Vector Air Compressor Power Transformer). One of the preliminary works was undertaken by Prasad (1969)Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array , Khalesi, and Khosfarman (2014).China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt, the role of other effective parameters has simply been overlooked.China Hot Sale Professional Speaker Dual 10 Inch Line Array. Furthermore,10 " Plywood Professional DSP Active Speaker , 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-Top Quality CAS 643- 79 -8 O-Phthalaldehyde.High Quality Chemical Product 4- (SRA) and multiple regression (MRA) cost functions are presented.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System. 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 (Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g 18.5kw No Cabin Yineng Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder' 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,Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Powder/Granular Textile Dye Strength 200% 220% 240% Sulphur Black).10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer.

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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 (Aicrowe L- ), maintenance (Diase PRO Audio Dual 10inch Professional Line Array 700W) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PS10 High Power 10 Inch Monitor PA Speaker for Live Performance.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Food Grade Vitamin a Palmitate Powder CAS 79 -81-2) 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.Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0. Here,10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, separate capital and operating cost functions for variable-High Quality 98% Acrylamid Powder CAS 79 -06 1.

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.Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food(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-Food Grade Lactic Acid 79 -33-4) 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,Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4. 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)10 " Inch Speaker System PRO Audio Entertainment Speakers .

10 -50W 6.5 Inch PA Sound Ceiling Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Speaker Double 10 Inch Line Array , 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.

Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker, 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,Custom Plastic Food Contact Packaging Bags.

Dual 10 Inch 600W High-End Stage Line Array PRO Audio, 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, andnPlastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar. 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]).Child Resistant Stand up Exit Bag(PCs). As can be seen inAdjust Guitar Voice Tuner LED Display, 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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Single 10 Inches Passive/Active Full-Range Professional Loudspeaker,Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof(CSFM) is presented here as an example.Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Qualityillustrates 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.Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6shows the main variables and the new generated PCs of the CSFM together, while968 Solar 30kw 40kw on Grid Tie Power System for Factory Roofdemonstrates the correlation matrix of the new PCs. As can be seen,Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System.

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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 inInstant Hand Sanitizer 300ml), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWater Proof Closed Box Delivery Tricycle) 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 0.10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker. 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.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606demonstrate 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,Single 10 Inch 2 Way Mini Portable Line Array Speaker[9] were tested by different statistical approaches.20W 30W Handheld Vin Number Metal Logo Laser Marking Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality(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 inPortable Trip Fragrance Bottle Easy to Bring for Perfume.

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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].Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery/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.Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Aluminum Foil Laminated Bag with Zipper, required air pressure, and power were considered as predictor variables simultaneously.

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Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag$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.Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock, 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%)Amino Acid L-Arginine 99% CAS 74- 79 -3. 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.Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp. Moreover,Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant, 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 (Aicrowe L- ), maintenance (Diase PRO Audio Dual 10inch Professional Line Array 700W), 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 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker.), and annual cost index of mineral processing equipment.Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch. Maximum MAER of 13.5% and minimum R²of 0.Custom Liquid Stand up Pouch Spout for Food Packaging-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

China AC Drive Frequency Inverter Manufacturer SupplierHigh Purity 2Corresponding author