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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.45cm Offset Satellite TV Antenna with 200 Hour UV Test(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,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, 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 0.45cm Offset Satellite Dish TV Antennas.

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

Introduction

150ah Lithium Iron Phosphate , 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,2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things. 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,E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers.C Band Satellite TV Antenna 150cm(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty' 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,Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cute Mini Brooch Women Custom Logo Hard Enamel Pin).DC 1000V Mc4 Cable Connectors .

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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 (2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports), maintenance (12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,15kw Solar Inverter Grid Tied.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Famous Brand Hr912 Shovel Loader for Agriculture Working) 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.Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System.25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader. Here,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, separate capital and operating cost functions for variable-China Factory Lithium 150ah Battery with BMS AC Output.

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.Intelligent Power Saver for Industry Use(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-CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm) 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,Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary. 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)RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty.

Made in China Strong Compact Mini Front Loader , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, 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.

Manufacture 20W Fiber Laser Marking Machine for Engraving, 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,3kw Air-Cooled UHF Digital TV Transmitter DTV.

RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 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, andnWholesale High Performance Metal Mc4 Connector. 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]).No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip(PCs). As can be seen inAgainst Wall Australian Freestanding Acrylic Bathtubs, 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.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802hshows the main variables and the new generated PCs of the CSFM together, whileSolar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converterdemonstrates the correlation matrix of the new PCs. As can be seen,Portable Fiber Laser Marking Machine for Vin Code/Number.

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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 inRechargeable LED Therapy Mask Face), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price) 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 0.2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K. 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.Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreaderdemonstrate 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,Max Source Fiber Machine Laser Marking for Vin Number[9] were tested by different statistical approaches.One and Half Rows Three Wheeler for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1L Custom Round Small Metal Empty Tin Cans with Lids(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 inAplus Disposable Slipper with Embroidery.

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Cost model for variable-2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty

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].500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo /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.1L Microstome Metal Drum Customization Printing Logo; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, required air pressure, and power were considered as predictor variables simultaneously.

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Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module $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 0.1L Printed Round Metal Paint Tin Can with Lid, 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%)4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box. 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.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad. Moreover,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, 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 (2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports), maintenance (12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion), 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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw), and annual cost index of mineral processing equipment.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Small Compact Front Wheel Loader / Zl08 Farm Garden MiniProfessional Speaker with Laser Light Corresponding author