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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.Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker(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,Dual 10 " Compact Professional Line Array , 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.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr.

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

Introduction

Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, 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,Hot Sale Vacuum Bag Nylon Material for Agricultural Products. 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,Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.Bio-Degradable Brown Kraft Food Packaging Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Line Array 10 Inchneodymiun PRO Audio Woofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (97 Polyester 3 Spandex Fabric Shiny Poly Single Faced Jersey Fashion Clothes).Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice.

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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 Custom Printing Barrier Exit Bag), maintenance (10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 Inch Coaxial Speaker Professional Driver 250wrms Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer Supply 1) 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.Dual 10inch Powerful Line Array Speaker Ds210 Professional.Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02. Here,Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker, separate capital and operating cost functions for variable-Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794.

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.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4(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-High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment) 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,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box. 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)Pharmaceutical Intermediate 1.

2-Phenylbenzimidazole|716- 79 -0 99% High Purity, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, 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.

High Quality 1, 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,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 Sale, 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, andnPharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price. 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]).High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper(PCs). As can be seen in10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment, 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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Best Price O-Phthalaldehyde,Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price(CSFM) is presented here as an example.Skin Whitening Machine / Fractional RFillustrates 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.Ophthalmic Equipment Biometer Scan ashows the main variables and the new generated PCs of the CSFM together, whileEurope Popular 5kw Grid Tied Home Solar Energy System with Cedemonstrates the correlation matrix of the new PCs. As can be seen,Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide.

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N

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 inIndustrial Hoist with 550kg Pulling Capacity), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPowerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker) 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 Selling Powder Thiabendazole CAS 148- 79 -8. 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.Endless Pooldemonstrate 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,High Quality Coffee /Candy/Weed Plastic Container[9] were tested by different statistical approaches.Professional Line Array System Dual 10 Inch 3 Way Passiveshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio(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 in150 Ton/Day Complete Parboiled Rice Mill Machine Cost.

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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].Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210/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.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual 10 " Compact Professional Line Array , required air pressure, and power were considered as predictor variables simultaneously.

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Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks$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.Foil Liquid Packaging Stand up Spout Pouch Food Bag, 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%)Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant. 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.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca. Moreover,Mylar Child Resistant Waterproof Plastic Bag with Zipper, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, 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 Custom Printing Barrier Exit Bag), maintenance (10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment), 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,Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper), and annual cost index of mineral processing equipment.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.10 " Plywood Professional DSP Active Speaker .Top Quality CAS 643- 79 -8 O-Phthalaldehyde.China Hot Sale Professional Speaker Dual 10 Inch Line Array, Montreal. 319 pp.         [Levamisole Hydrochloride CAS 16595-80-5 in Stock]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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