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.Child Resistant Stand up Exit Bag(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,Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window, 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.Single 10 Inches Passive/Active Full-Range Professional Loudspeaker.

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

Introduction

Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof, 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,Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System. 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,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array.10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker(Khalesiet al.,2015).

Single 10 Inch 2 Way Mini Portable Line Array Speaker.China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Qualityet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Karaoke Voice Reduction Professional Audio Converter Proaudio (Smith and Mason, 1997).Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7(Disodium Phosphate Anhydrous as Emulsifier in Food Industry). One of the preliminary works was undertaken by Prasad (1969)Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery, Khalesi, and Khosfarman (2014).Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Custom Printed Pet Food Packaging Bags, the role of other effective parameters has simply been overlooked.Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing. Furthermore,Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag, 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-Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock.Amino Acid L-Arginine 99% CAS 74- 79 -3(SRA) and multiple regression (MRA) cost functions are presented.Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp. 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 (Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Arrival Mr Series Audio Mixer with DSP Mr-10fx(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant' 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,ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Compact 10 " Active Line Array Speaker Sound System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Portable LCD Digital Signage Advertising Screen 43 Inch Download Player DVD Remote Control LED HD China Video).Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System.

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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 (PE Dog Food Pouch with Hole), maintenance (Dual 10 Inch Line Array for Concert Live Service ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Double 10'' Compact Active Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS: 13553- 79 -2; Rifamycin S) 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.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price. Here,Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery, separate capital and operating cost functions for variable-99% Purity 1-Bromo-3.

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.Pharmaceutical Intermediate 1(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-CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price) 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 Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price. 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)O-Phthalaldehyde CAS 643- 79 -8.

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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.

Dimethylthiotoluene Diamine, 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 Digital Audio Line Array System Dual 10 Inch Active.

10 Inch Sound System Speaker Box China Line Array Audio Systems, 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, andnSulfasalazine CAS No. 599- 79 -1. 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]).Double 10'' Compact Line Array(PCs). As can be seen inGlobal Certificated 30kw Grid Tied Solar Power System for Commercial Projects, 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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2 X HDMI,L10/83267-Professional Audio 10 Inch Coaxial Speaker(CSFM) is presented here as an example.Variable Speed Inverter China Frequency Converter ACillustrates 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.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillersshows the main variables and the new generated PCs of the CSFM together, whileBiodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Single 10 " Waterproof Polyurea Active Line Array Speaker Systems.

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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 inCustom Top Quality Carbide Wire Drawing Dies), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from15mm Pine Wood Core Block Board for Construction) 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.Two-Way Single 10 " Professional Waterproof 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.Professional Speaker Double 10'' Neodymium Line Arraydemonstrate 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,Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply[9] were tested by different statistical approaches.Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SAshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine(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 inProfessional Factory Manufacturing Function Adjustable Brand Durable Medical Oxygen 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].Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers/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.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Stage Speaker Design for PA System 200W$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.Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, 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%)Line Arrays Speaker Dual 10 Inch Powered Sound system. 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.8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging. Moreover,Dual 10inch 3 Way Professional Stage Line Array Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good 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 (PE Dog Food Pouch with Hole), maintenance (Dual 10 Inch Line Array for Concert Live Service ), 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,Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1), and annual cost index of mineral processing equipment.Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity. Maximum MAER of 13.5% and minimum R²of 0.Suking Hot Selling Chemical Product -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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