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On-line version ISSN2411-9717
Print version ISSN2225-6253
J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017
http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â
GENERAL PAPERS
PA Speaker Accessories and Parts Cost modelling for flotation machines
S. Arfania; A.R.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 BikesCheap 3 Wheel Cargo Tricycle with Box ; 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.BAW Made of Electric Car with Lithium Battery(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,EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, 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.M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, 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,4x2 electric pickup truck/ Electric vehicle/ car. 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,Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle .2021 New Products Motor Power 800W Electric Trolley Tractor(Khalesiet al.,2015).
Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines.1L Tin Can with Metal Cap for Food Storageet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality 98% Acrylamid Powder CAS 79 -06 1(Smith and Mason, 1997).Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60(Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell). One of the preliminary works was undertaken by Prasad (1969)1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid, Khalesi, and Khosfarman (2014).Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L Aluminum Tin Can for Food Packaging , the role of other effective parameters has simply been overlooked.1L Cone Top Tin Can with Screw Cap. Furthermore,Gy6 -125 Motorcycle Spark Plug Cap Parts, 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-Mining Cement Stainless Steel 316L Protective Pressure Sensor.Scooter Parts(SRA) and multiple regression (MRA) cost functions are presented.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price. 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 (Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum' 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,Metal Fiber Ring Color Laser Engraving Machine
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Perfect Laser Rotary DOT Peen Marker for Sale, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Crystal Rhinestone Pearl Flower Custom Brooch for Wedding Invitations).Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output.
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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 (6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi ), maintenance (110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3kwh LiFePO4 Battery with 5 Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Anti Explosion High Stability Sealed Pressure Sensor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use) 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.Screw Compressor Low Cost Small Type Pressure Sensor.Solar Energy Storage System Built-in Inverter. Here,4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer, separate capital and operating cost functions for variable-Lithium Battery 200ah LiFePO4 Pack 3kwh.
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.Smokeless Rice Husk Continuous Carbonization Oven for Sale(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-45kw Mf Induction Heating Machine Heater) 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,Ytd-Dih25 IGBT Automatic Induction Heating Machine. 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)Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System.
Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, Khalesi, and Khosfarman, 2014).
whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.
316L Ceramic Pressure Transducer for Health Care Industry, 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]:
whereXobsis the observed value,xethe estimated value at time/placeI,and n,Factory Wholesale Price Industrial Induction Vacuum Furnace.
Mini Size Water Differential Pressure Sensor for HVAC, 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).
whereCeis the estimated cost,Cathe actual cost, andnWater Transmitter Diffused Silicon Level Sensor for Fluid. 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]).Digital Display Hygienic Pressure Indicator Transmitter(PCs). As can be seen inSingle 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca, 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 andXias Equations [5] and [6]:
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In this research, main variables ofX1, X2... Xnwere 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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4-20mA Micro Air Gas Differential Pressure Sensor Transducer,China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal(CSFM) is presented here as an example.Zl08 Chargeuse Wheel Loaderillustrates 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.Waterproof Childproof Ziplock Valve Bagshows the main variables and the new generated PCs of the CSFM together, whileEngine Oil Cans 4 Liter Motor Lubricating Tin Candemonstrates the correlation matrix of the new PCs. As can be seen,Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater.
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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)
whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in300ml Boston Round Plastic Green Pet Shampoo Soap Hand Lotion Cream Pump Bottles), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorbicycle with Stable Wheels) 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.Black Valve Universal Programmable OE Replacement TPMS Sensor. 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.5 Liter Paint Tin Can with Customized Printing Plastic Handledemonstrate 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,Mobile Induction Heater for Welding Brazing Melting[9] were tested by different statistical approaches.50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Micsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fractional RF & Thermal Beauty Machine(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 inSummer Children Short- Sleeved Lapel Polo Shirt Solid Color Baby Dress Triangle Romper.
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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].Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808/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.Hot Selling Tires Motorcycle Tyres 110/90- 17; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, required air pressure, and power were considered as predictor variables simultaneously.
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90/90-21 China Super Cheap Motorcycle Tire/Tyre$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 0.110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, 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%)Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine. 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.Gy6 -80 Motorcycle Parts Starting Motor Gear. Moreover,Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater, 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 (6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi ), maintenance (110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre), 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,Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine), and annual cost index of mineral processing equipment.Fully Automatic Shrink Wrapping Packing Machine, and over- extrapolation could result in misguiding estimates.
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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