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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.Top Quality Benzocaine / HCl CAS 23239-88-5(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,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6, 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.Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free.

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

Introduction

PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker., 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,Mixer Power Amplifier with USB. 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,Powered Line Array Active Stage Speaker.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array(Khalesiet al.,2015).

PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Woodet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Agriculture Ammonium Sulphate Caprolactam 25kg Package(Smith and Mason, 1997).Karaoke Speaker System Chinese KTV High Output Compact Box(LG panel 49" advertising rack ). One of the preliminary works was undertaken by Prasad (1969)Coaxial Speaker TD10, Khalesi, and Khosfarman (2014).Professional Sound System Effects for Equipment Hire ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, the role of other effective parameters has simply been overlooked.Outdoor Show Audio Lt12 Passive Line Array Speaker System. Furthermore,Karaoke Microphone Bluetooth Sound Mixer Video Conference, 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-Outdoor Speaker Professional Audio Factory.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p(SRA) and multiple regression (MRA) cost functions are presented.Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9. 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 (1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7' 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),Professional Speker System 12 Inch PA Line Array Audio S1210(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Christmas Metal Wine Charm).Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36.

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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 (Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch), maintenance (Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Passive Single 12'' Line Array Loudspeaker Sound System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address) 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.TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9. Here,Professional Speaker PRO Audio System Compact Line Array PA Lq10, separate capital and operating cost functions for variable-Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1.

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.125541 -22-2 Piperidine 1-N-Boc-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-CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside) 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,Blended Powder Oil Liquid Ripex 225 for Muscle Growth. 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)Good Effect for Treating Infertility in Women Clom CAS: 911-45-5.

Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal, 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.

professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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,Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive.

Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9, 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, andnLow Price Malonic Acid / Propanedioic CAS 141-82-2. 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]).2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker(PCs). As can be seen inSingle 15 Inch High Quality Bass, 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.Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truckshows the main variables and the new generated PCs of the CSFM together, whileEverun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucketdemonstrates the correlation matrix of the new PCs. As can be seen,98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905.

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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 inHot-Selling Wood Core Veneer Lathe/Spindleless Peeling and Clipper Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSport Using Motor Vehicle with Sealed Chain Final Drive) 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.Glycine Methyl Ester Hydrochloride . 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.Motor Auto Hydraulic Open Three Wheel Motorcycle for Saledemonstrate results for the machines modelled in this research.

Multiple regression results

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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].2-Cyclohexylethanol /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.L-Pyroglutamic Acid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6, required air pressure, and power were considered as predictor variables simultaneously.

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L-Pyroglutamic Acid$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.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, 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%)Supply High Purity Oxalyl Chloride CAS: 79 -37-8. 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.Fatory Supply Thiosemicarbazide CAS 79 -19-6. Moreover,High Quality Retinoic Acid , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 98% Tretinoin , 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 (Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch), maintenance (Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate), 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,Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price), and annual cost index of mineral processing equipment.Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. Maximum MAER of 13.5% and minimum R²of 0.Rifamycin S 96% CAS: 13553- 79 -2-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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