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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.1L Tin Can for Oil(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,Trade Peak Lowest Price for 150cc ATV, 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.L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20.

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

Introduction

2021 New China Adult Tricycle Motor Cargo for Sale, 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,Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.. 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,Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket(Khalesiet al.,2015).

2021 New Model 125cc 150cc Ce Approval off Road ATV.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine(Smith and Mason, 1997).40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder(100% CAS 79 -57-2 Oxytetracycline Powder). One of the preliminary works was undertaken by Prasad (1969)Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce, Khalesi, and Khosfarman (2014).Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,OTR Heavy Loader Tyre L5 20.5-25 Size Best Price, the role of other effective parameters has simply been overlooked.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter. Furthermore,1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw, 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-L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire.Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood(SRA) and multiple regression (MRA) cost functions are presented.Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device. 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 (New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWolf Wl80 Mini Radlader Hoflader with Forks in Farm(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home' 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,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,25KW Ground Mini loader price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Shiny Patent Durable Synthetic Faux PU Leather for Shoes and Bags).Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter.

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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 (Yn725 Yineng Mini Wheel Loader 25kw), maintenance (No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725 Wheel Loader 25kw Mini.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2.4- 5GHz MIMO Omni Antenna) 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.New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip.off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase. Here,12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, separate capital and operating cost functions for variable-Yn725 Yineng Mini Wheel Loader 25kw.

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.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe(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-Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine) 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,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light. 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)12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.

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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.

220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use, 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,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market.

2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool, 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, andn4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media. 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]).220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use(PCs). As can be seen inProfessional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, 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.SP-KS410) Customized Fabric Softwood Frame Sofashows the main variables and the new generated PCs of the CSFM together, whilein Line Multy-Cylinder Diesel Engine for Power Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Camping Power / RV LiFePO4 Energy Storage.

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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 inChina Price Wholesale Double Wall Vacuum Insulated Travel Rambler Stainless Steel 30oz Coffee Tumbler), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWholesales Organic Intermediate 1) 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.Flying Online Fiber Laser Marking Machine with Conveyor Belt. 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.10'' Inch Ferrite Wooferdemonstrate 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,3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate[9] were tested by different statistical approaches.Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adultsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty(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 inRelax Neck Waterfall 2 Person Whirlool Bathtub Air Bubble Massage Jets Control Panel.

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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].Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi/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.381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Trade Peak Lowest Price for 150cc ATV, required air pressure, and power were considered as predictor variables simultaneously.

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100W Full Enclosed Fiber Laser Marking Machine with Safe Cover$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 0.20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser, 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%)for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000. 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.600W- 800W 48V/60V Lead-Acid Battery Electric Scooter. Moreover,Best Selling Electric Scooter Mini 800W , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc Automatic Racing Sports Exclusive Design ATV , 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 (Yn725 Yineng Mini Wheel Loader 25kw), maintenance (No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip), 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,High Quality Cheap 200cc and 150cc Farm Utility ATV), and annual cost index of mineral processing equipment.1GHz Outdoor Bi-Directional CATV Amplifier, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Sanyou 125cc Efi System with Delivery Box Gas Scooter.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle.Closed Canvas Box 2 Ton Cargo Tricycle, Montreal. 319 pp.         [HPM410W Submerged Integrated Level Sensor Transmitter]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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