GENERAL PAPERS

Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats SofaCost modelling for flotation machines

S. Arfania; A.R.Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active SystemAdjust Guitar Voice Tuner LED Display; 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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease(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,Hrk Provide Topiramate Powder Price CAS 97240- 79 -4, 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.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array .

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

Introduction

China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt. 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,China Hot Sale Professional Speaker Dual 10 Inch Line Array.10 " Plywood Professional DSP Active Speaker (Khalesiet al.,2015).

Top Quality CAS 643- 79 -8 O-Phthalaldehyde.High Quality Chemical Product 4- et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter(Smith and Mason, 1997).Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System(Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi). One of the preliminary works was undertaken by Prasad (1969)Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome, Khalesi, and Khosfarman (2014).Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10inch Powerful Line Array Speaker Ds210, the role of other effective parameters has simply been overlooked.Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality. Furthermore,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System, 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-Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery(SRA) and multiple regression (MRA) cost functions are presented.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing. 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 (New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHealth Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer' 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,Food Grade Vitamin a Palmitate Powder CAS 79 -81-2

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Loading Capacity Thrust Deep Groove Ball Bearing).10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with.

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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 (High Quality 98% Acrylamid Powder CAS 79 -06 1), maintenance (Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Grade Lactic Acid 79 -33-4.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 " Inch Speaker System PRO Audio Entertainment Speakers ) 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.10 -50W 6.5 Inch PA Sound Ceiling Speaker.Professional Audio Speaker Double 10 Inch Line Array . Here,Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker, separate capital and operating cost functions for variable-Custom Plastic Food Contact Packaging Bags.

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.Dual 10 Inch 600W High-End Stage Line Array PRO Audio(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-Plastic 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) 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,Child Resistant Stand up Exit Bag. 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)Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window.

Single 10 Inches Passive/Active Full-Range Professional Loudspeaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof, 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.

Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System, 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,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array.

10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker, 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, andnSingle 10 Inch 2 Way Mini Portable Line Array Speaker. 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]).China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality(PCs). As can be seen in968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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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Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery,Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0(CSFM) is presented here as an example.Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powderillustrates 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.Water Proof Closed Box Delivery Tricycleshows the main variables and the new generated PCs of the CSFM together, whileThree Phase 380V Small Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Custom Printed Pet Food Packaging Bags.

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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 inFactory Supply Granular Sulphur Black Br 200% for Fabric Dyeing), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNo Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty) 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.Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag. 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.Mini Dumper Wolf Wl80 Loader with CEdemonstrate 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,Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock[9] were tested by different statistical approaches.Mini Speaker Line Array Wedding Decoraions DJ Mixershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Amino Acid L-Arginine 99% CAS 74- 79 -3(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 inNew Customized LED Auto Sign Car Logo Design for Skoda.

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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].Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag/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.Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hrk Provide Topiramate Powder Price CAS 97240- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.

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Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch$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.Custom Liquid Stand up Pouch Spout for Food Packaging, 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%)ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing. 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.Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System. Moreover,2021 New Compact 10 " Active Line Array Speaker Sound System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System, 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 (High Quality 98% Acrylamid Powder CAS 79 -06 1), maintenance (Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food), 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,PE Dog Food Pouch with Hole), and annual cost index of mineral processing equipment.Dual 10 Inch Line Array for Concert Live Service , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System. Maximum MAER of 13.5% and minimum R²of 0.Double 10'' Compact Active Line Array-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Solvent Violet 9 Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%Corresponding author