GENERAL PAPERS

Horn Speaker M-776Cost modelling for flotation machines

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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.Custom Printed Food Grade Ziplock Plastic Pouch Packaging 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,PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade, 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.Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging.

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

Introduction

High Temperature Vacuum Retort Pouch for Food Packaging, 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,Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies. 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,Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag.High Barrier Vacuum Bag& Packaging Films for Food Pakcing(Khalesiet al.,2015).

Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags.Oxygen Barrier Transparent Vacuum Plastic Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electric Motorcycle (Smith and Mason, 1997).Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker(Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0). One of the preliminary works was undertaken by Prasad (1969)DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755, Khalesi, and Khosfarman (2014).Fruit and Vegetables Packaging Materials Vacuum Nylon Bag; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag, the role of other effective parameters has simply been overlooked.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker . Furthermore,Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker, 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-10 Inch High Quality PA Speaker 10tbx100.PA Audio System 5" 10 -35W Ceiling Speaker(SRA) and multiple regression (MRA) cost functions are presented.Ultra Low Nosie 10 Channles Mixer Mixing Console . 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 (10''stage professional Audio Speaker H- 10 for Stage, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk' 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,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wilson Parts Eim Module Engine Interface Control 258 -9753, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Reversible Paper Roll Printing with Manual Sheeter Dough Price Bakery Equipment).24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator.

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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 (Medrogestone Top Quality Low Price 977- 79 -7), maintenance (Factory Supply High Quality Ademetionine 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Supplier 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS: 79 -44-7 Dimethylcarbamoyl Chloride ) 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.Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed.Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt. Here,Good Quality CAS: 97240- 79 -4 Topiramate Powder Price, separate capital and operating cost functions for variable-High Purity 99% Intermediate 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.Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder(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 Tretinoin with Good 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,Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin. 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)Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755.

High Purity Organic Intermediate  1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine, 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.

Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, 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,Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V.

Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V, 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, andn5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator. 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]).Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753(PCs). As can be seen in1L Plastic Trigger Sprayer Bottle with Spray, 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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Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755,Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754(CSFM) is presented here as an example.Motorbicycle with Efi Fuel Supply and Steel Tube Frameillustrates 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.New Design 800W 1000W Electric Scooter Motorcycle for Ridingshows the main variables and the new generated PCs of the CSFM together, whileLaswim Swim SPA Endless Swimming Pool Whirlpool Bathtubdemonstrates the correlation matrix of the new PCs. As can be seen,100% Copper Wire St Series Single Phase Generator / Alternator .

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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 inCold-drawn wire stem CH1t Half Hollow Rivets Phosphate Coated Steel Wire), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBirch Plywood 2-Way Crossover Passive Loudspeaker ) 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 0.100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator . 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.China Factory Supply Ethylmagnesium Bromide CAS 925-90-6demonstrate 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,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator[9] were tested by different statistical approaches.ISO Certified 100% Natural L-Arginine Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.24kVA St Series Single Phase Generator (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 in2021 Xangshi Mill 2.4/5GHz Dual Band 2 8GB Latest S905X Google Certified Android 8.1 4K Hdr Smart Box.

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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].20kVA St Series Single Phase Generator /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.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade, required air pressure, and power were considered as predictor variables simultaneously.

7.5kVA St Series Single Phase Generator . Moreover, the operating cost was detailed in different cost items.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio, indicated in5150-5850MHz Sector Panel Antenna 2*17dBi, and major extrapolation should be avoided.

2 Way Passive 10 " Professional PRO Audio PA Line Array$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.Stc Series Three Phase Dynamo Generator , 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%)China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder. 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.Stc Series Three Phase Dynamo Generator . Moreover,CAS: 74- 79 -3 Amino Acid L-Arginine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic, 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 (Medrogestone Top Quality Low Price 977- 79 -7), maintenance (Factory Supply High Quality Ademetionine 1), 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,St-10kw/kVA Single Phase Brush Type Electric Generator), and annual cost index of mineral processing equipment.Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2. Maximum MAER of 13.5% and minimum R²of 0.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder800W 60V Lead-Acid Battery Electric Bicycle with Back RestCorresponding author