GENERAL PAPERS

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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.10 Inch Compact Line Array PRO Audio(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,10 Inch Indoor Outdoor Professional Loudspeaker, 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 0.99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9.

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

Introduction

Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet, 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,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub. 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,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging.Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder(Khalesiet al.,2015).

RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives.Thiosemicarbazide CAS 79 -19-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty(Smith and Mason, 1997).O-Phthalaldehyde CAS 643- 79 -8(Loading Machine). One of the preliminary works was undertaken by Prasad (1969)High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price, Khalesi, and Khosfarman (2014).PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, the role of other effective parameters has simply been overlooked.1-Bromo-3. Furthermore,Low Price 4, 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-High Purity CAS 64318- 79 -2 Gemeprost.Ziplock Dog Food Bag with Bottom Gusset(SRA) and multiple regression (MRA) cost functions are presented.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1. 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 (Custom Printed Food Grade Ziplock Packing Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBoring Machine Tools Micro Head F1type CNC Heads Set(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container' 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,10 Active Full Range Stage Sound Loud Speaker System Audio

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Outdoors Professional/PRO Audio Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plywood Manufacturing Machine/Plywood Making Plant Machine).Dual 10 " Two Way PA Power Line Array Speaker.

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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 (Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2), maintenance (Single 10'' Two Way Line Array PRO Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Double 10 Inch Line Array PRO Audio .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution) 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.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory.Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut. Here,High Quality Oxytetracycline Powder 100% CAS 79 -57-2, separate capital and operating cost functions for variable-CAS: 79 -44-7; Dimethylcarbamoyl Chloride;.

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.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch(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-200X5000mm Vacuum Sealer Bag Roll for Food Packaging) 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,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging 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)Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole.

Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron, 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.

Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag, 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,Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.

Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10, 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, andnProfessional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2. 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]).D&B Q1 Style Dual 10 Inch Professional Speaker (PCs). As can be seen in381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer, 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.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802shows the main variables and the new generated PCs of the CSFM together, whileDouble 10'' Compact Line Arraydemonstrates the correlation matrix of the new PCs. As can be seen,PA 10 -25W 4 Inch Sound Ceiling Speaker.

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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 inKapsen/Taitong/Terraking Brand 11r22.5 12r22.5 315/80r22.5 295/80r22.5 Steer Truck Tyres/Front Tire Wholesale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromEverun Brand Mini Front End Loader 0.8 Ton Wheel) 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 Papacking Vacuum Puffed Food 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.Good Performance Polyurethane PU Resin for Gravure Printing Inkdemonstrate 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,1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container[9] were tested by different statistical approaches.High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediatesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High bright Samsung 46" 49" 55" LCD video wall screen monitor(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 inS02 Monocular Biological Microscope/Biological Microscope.

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Cost model for variable-Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6

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].43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk/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.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10 Inch Indoor Outdoor Professional Loudspeaker, required air pressure, and power were considered as predictor variables simultaneously.

10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show . Moreover, the operating cost was detailed in different cost items.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly, indicated inHot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps, and major extrapolation should be avoided.

Bloom Tech Chemical Reagent $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.BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with 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%)Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium. 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.Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4. Moreover,High Quality Printed Food Packaging Doypack Aluminium Zipper Bags, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Argipressine CAS 113- 79 -1 with Best Price, 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 (Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2), maintenance (Single 10'' Two Way Line Array PRO Audio), 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,1-Bromo-3), and annual cost index of mineral processing equipment.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China. Maximum MAER of 13.5% and minimum R²of 0.55 Inch Stand Alone Digital Free Standing LCD Advertising Display-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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