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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.Electric Bike 800W ODM Mountain Ebike with Powerful Motor(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,Latest Electric Scooter 800W Citycoco, 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 0.16/24 Channel RF Combiner Passive Mixer.

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

Introduction

150cc Cheap Open Gas Reverse Trike , 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,Sport Using Motor Vehicle with Sealed Chain Final Drive. 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,GS-a 12mm CATV Fixed RF Attenuator.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale(Khalesiet al.,2015).

Automatic High Effective Medical Ultrasound Bone Densitometer .New 50cc Monkey Bike Gasoline Motorcycle Euro 4et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn(Smith and Mason, 1997).China 250cc New 3 Wheel Motorcycle Motor Tricycle(L-Pyroglutamic Acid). One of the preliminary works was undertaken by Prasad (1969)3ru 24 in 1 CATV Fixed Channel Modulator , Khalesi, and Khosfarman (2014).16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Satellite Ts Encryption HD Receiver with Multiplexing Function, the role of other effective parameters has simply been overlooked.Motor Tricycle Three Wheel Cargo Trike for Sale. Furthermore,Motorbicycle for Well Done Accessories, 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-16 in 1 CATV Modulator Fixed Frequency.8 Channels HDMI to DVB-T Modulator(SRA) and multiple regression (MRA) cost functions are presented.Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner. 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 (Motor Vehicle for High Speed and Stable Function, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPolyamide Resin for Gravure Plastic and Paper Printing Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor 750MHz One Way CATV Trunk Amplifier ' 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,Motorcycle for 1405mm of Wheel Base

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (300ml 400ml 500ml Beverage Glass Bottles for Fruit Juice Container).China Ophthalmic Equipment.

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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 (Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price), maintenance (China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ho-100 Ophthalmic Ultrasound a Scan Pachymeter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler) 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.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer.1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use. Here,5GHz Antenna High Gain 29dBi, separate capital and operating cost functions for variable-2.4- 5GHz MIMO Omni Antenna with 2.4G Network System.

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.Sector Antenna 5GHz(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-Mini Wheel Loader Small Dumper Hoflader Wolf Zl08) 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,2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi. 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)2.4- 5GHz MIMO Omni Antenna with 11dBi.

2.4- 5GHz Omni Antenna , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25, 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.

1L Tin Can for Oil, 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,Trade Peak Lowest Price for 150cc ATV.

L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20, 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, andn2021 New China Adult Tricycle Motor Cargo for Sale. 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]).Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.(PCs). As can be seen inMelamine Molding Powder for Making Tableware Dishware China, 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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Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket,2021 New Model 125cc 150cc Ce Approval off Road ATV(CSFM) is presented here as an example.Child Resistant Stand up Exit Bagillustrates 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.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in Chinashows the main variables and the new generated PCs of the CSFM together, whilePower Amplifier Module Board + Made in China 400 Watt AMPdemonstrates the correlation matrix of the new PCs. As can be seen,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25.

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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 inCheap Price Black Nero Marquina Marble Slab with White Veins), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWater Cooled Cylinder Diesel Engine Used for Generator Set) 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.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce. 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 Heavy Load Inverter 220V 380V Three Phase Converter DC to ACdemonstrate 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,Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce[9] were tested by different statistical approaches.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PCshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.OTR Heavy Loader Tyre L5 20.5-25 Size Best Price(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 in2014 Most Fashion Antique Silver Pendant Necklace.

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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].1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw/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.L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Latest Electric Scooter 800W Citycoco, required air pressure, and power were considered as predictor variables simultaneously.

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New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini$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.Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home, 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%)5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter. 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.Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw. Moreover,Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV, 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 (Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price), maintenance (China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter), 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,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25), and annual cost index of mineral processing equipment.25KW Ground Mini loader price, and over- extrapolation could result in misguiding estimates.

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Prasad, L. 1969.Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use, Metallurgy and Petroleum, Montreal. pp. 3-15.         [AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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