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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.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4(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,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, 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 0.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box.

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

Introduction

Pharmaceutical Intermediate 1, 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,2-Phenylbenzimidazole|716- 79 -0 99% High Purity. 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,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3.High Quality 1(Khalesiet al.,2015).

China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3.New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated(Smith and Mason, 1997).Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price(3kw Air-Cooled UHF Digital TV Transmitter DTV). One of the preliminary works was undertaken by Prasad (1969)High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper, Khalesi, and Khosfarman (2014).Sell Well Opa; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Best Price O-Phthalaldehyde, the role of other effective parameters has simply been overlooked.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price. Furthermore,Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, 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-Qsn Professional Audio Dual 10 "Power Speaker Xt10.Hot Selling Powder Thiabendazole CAS 148- 79 -8(SRA) and multiple regression (MRA) cost functions are presented.High Quality Coffee /Candy/Weed Plastic Container. 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 (Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPlastic Raw Materials Black Masterbatch for PP PE Plastics(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit' 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,Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Foil Liquid Packaging Stand up Spout Pouch Food Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Industrial Metal Fireproof Emergency Security Flush Exit Fire Steel Doors).Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca.

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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 (Mylar Child Resistant Waterproof Plastic Bag with Zipper), maintenance (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock) 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.Custom Aluminum Foil Laminated Bag with Zipper.High Purity O-Phthalaldehyde. Here,PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, separate capital and operating cost functions for variable-Quality Assurance O-Phthalaldehyde.

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.High Power Speaker Dual 10 " PRO/Professional Audio Line Array (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-10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array) 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,Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System. 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)Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease.

Hrk Provide Topiramate Powder Price CAS 97240- 79 -4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Speaker 2way Double 10inch Full Range High Power Neodymium Speakers 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.

China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt.

China Hot Sale Professional Speaker Dual 10 Inch Line Array, 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, andn10 " Plywood Professional DSP Active 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]).Top Quality CAS 643- 79 -8 O-Phthalaldehyde(PCs). As can be seen inDibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, 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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Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System,Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome(CSFM) is presented here as an example.Dual 6" Coaxial Full Range Speaker for Entertainment Roomillustrates 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.Grade AA Veneer Furniture Building Material Plywood to Dubaishows the main variables and the new generated PCs of the CSFM together, while50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrubdemonstrates the correlation matrix of the new PCs. As can be seen,Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder.

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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 inSilicone Cold Shrink Tubing for 5g Telecom Tower), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromInverter Cabinet VFD Frequency) 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.Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality. 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.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TVdemonstrate 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,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System[9] were tested by different statistical approaches.PA Speaker with Single-Point Angles Regulator shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W(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 inCheap High Quality Cosmetic Brushes 7PCS Synthetic Hair Makeup Set.

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Cost model for variable-Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery

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].Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing/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.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, required air pressure, and power were considered as predictor variables simultaneously.

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Diase PRO Audio Dual 10inch Professional Line Array 700W$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.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance, 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%)Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches. 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.Food Grade Vitamin a Palmitate Powder CAS 79 -81-2. Moreover,Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, 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 (Mylar Child Resistant Waterproof Plastic Bag with Zipper), maintenance (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag), 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,10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with), and annual cost index of mineral processing equipment.High Quality 98% Acrylamid Powder CAS 79 -06 1, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food. Maximum MAER of 13.5% and minimum R²of 0.Food Grade Lactic Acid 79 -33-4-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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