GENERAL PAPERS

China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction EquipmentCost modelling for flotation machines

S. Arfania; A.R.Outdoor 750MHz One Way CATV Trunk Amplifier Home Theater PA PRO Audio Speaker; M.R. Khalesi

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.China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box(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,New Racing Motorcycle, 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.Cheap 3 Wheel Cargo Tricycle with Box .

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

Introduction

Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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,Motorcycle for 1405mm of Wheel Base. 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,IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China.5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design(Khalesiet al.,2015).

China Ophthalmic Equipment.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant(Smith and Mason, 1997).China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter(Water Cooled Cylinder Diesel Engine Used for Generator Set). One of the preliminary works was undertaken by Prasad (1969)Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen, Khalesi, and Khosfarman (2014).Ho-100 Ophthalmic Ultrasound a Scan Pachymeter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler, the role of other effective parameters has simply been overlooked.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer. Furthermore,1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use, 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-5GHz Antenna High Gain 29dBi.2.4- 5GHz MIMO Omni Antenna with 2.4G Network System(SRA) and multiple regression (MRA) cost functions are presented.Sector Antenna 5GHz. 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 (Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in800kg China Small Front High Quality Wheel Loader for Sale in Europe(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi' 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,Trade Peak Lowest Price for 150cc ATV

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New China Adult Tricycle Motor Cargo for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality 7 Glitter Gradient Spiral Makeup Brush).Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern..

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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 (Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price), maintenance (Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New Model 125cc 150cc Ce Approval off Road ATV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder) 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.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce.Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce. Here,OTR Heavy Loader Tyre L5 20.5-25 Size Best Price, separate capital and operating cost functions for variable-Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter.

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.1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw(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-L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire) 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,Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood. 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)Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device.

New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home, 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.

5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter, 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,Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw.

Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring, 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, andnHot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV. 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]).Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25(PCs). As can be seen inPipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, 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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Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System,Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter(CSFM) is presented here as an example.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USBillustrates 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.4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Mediashows the main variables and the new generated PCs of the CSFM together, whileInfiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sampledemonstrates the correlation matrix of the new PCs. As can be seen,Yn725 Yineng Mini Wheel Loader 25kw.

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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 in6207/6208- O&Kai Original High Quality Deep Groove Ball Bearings Factory), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality) 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.Yn725 Wheel Loader 25kw Mini. 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.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array Systemdemonstrate 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,CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw[9] were tested by different statistical approaches.CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Inkshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2.4- 5GHz MIMO Omni Antenna(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 inCustom Cheap Antique Silver Memory Souvenir Old Medal Enamel Epoxytop Quality Customized Gold Award Sports Corporation.

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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].off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase/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.12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Racing Motorcycle, required air pressure, and power were considered as predictor variables simultaneously.

Yn725 Yineng Mini Wheel Loader 25kw. Moreover, the operating cost was detailed in different cost items.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe, indicated inFactory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6, and major extrapolation should be avoided.

Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine$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.AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, 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%)12V AC Warm White PC Mini Flat Resin Filled LED Pool Light. 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.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer. Moreover,No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use, 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 (Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price), maintenance (Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket), 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,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market), and annual cost index of mineral processing equipment.2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media. Maximum MAER of 13.5% and minimum R²of 0.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use-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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