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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Skin TighteningCost modelling for flotation machines

S. Arfania; A.R.2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for150cc Gy6 Engine Automatic ATV Sports Quad Bike; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm(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,2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, 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.Chinese 300cc Cheap Farm Gas Trike .

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


3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., 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,Thin-film Sputtering Pressure Transmitter For Medical Equipment. 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,High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.Ophthalmic Ultrasonic Pachymeter and Biometer(Khalesiet al.,2015).

2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment.2021 New Arrival Malaysian Eyebrowet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Nitrogen Fertilizer Steel Grade as From China Factory(Smith and Mason, 1997).18" Remy Hair Lace Front Closure Natural Color Body Wave(Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line). One of the preliminary works was undertaken by Prasad (1969)250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, Khalesi, and Khosfarman (2014).2D Echo Color Doppler Ultrasound Scanner; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions, the role of other effective parameters has simply been overlooked.8-30inches Malaysian Straight Hair Bundles 100% Human Weaves. Furthermore,Ophthalmic Biometer &Pachymeter , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H.Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser(SRA) and multiple regression (MRA) cost functions are presented.China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell TPU Matt Cast Film Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;50cc EEC Motorcycle Scooter Efi Moped' 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,Motorbicycle with Efi Fuel Supply and Steel Tube Frame

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Speed Kawasaki Ninja Motorcycle 250cc, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mini Nameplate Pneumatic Engraving Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (112kVA/90kw Power Generator Set with Weichai Diesel Engine Genset ISO Ce Coc).Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range.

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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 (Mini electric truck/ express vehicle/ Express vehicles), maintenance (Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,BAW Made of Electric Car with Lithium Battery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car) 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.50cc Monkey Bike Gasoline Motorcycle Euro4 Efi.4x2 electric pickup truck/ Electric vehicle/ car. Here,Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , separate capital and operating cost functions for variable-2021 New Products Motor Power 800W Electric Trolley Tractor.

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.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines(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-1L Tin Can with Metal Cap for Food Storage) 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,Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60. 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)1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.

Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Aluminum Tin Can for Food Packaging , 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.

1L Cone Top Tin Can with Screw Cap, 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,Gy6 -125 Motorcycle Spark Plug Cap Parts.

Mining Cement Stainless Steel 316L Protective Pressure Sensor, 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, andnScooter Parts. 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]).Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(PCs). As can be seen inCabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD, 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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Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum,Flexible Label Laser Marking Machine for Automotive(CSFM) is presented here as an example.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHzillustrates 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.Chemical Reagent Bloom Tech 2shows the main variables and the new generated PCs of the CSFM together, whileSolar & Mains Storage Battery Charger with Inverter to 80AC 3840whdemonstrates the correlation matrix of the new PCs. As can be seen,CATV Indoor Amplifier 8200.

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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 inRefrigeration Unit Freezing Rooms for Frozen Meat Fruits with Ce), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2L Empty Tin Container for Engine Oil Lubricant) 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.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator. 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.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmeticdemonstrate 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,Metal Fiber Ring Color Laser Engraving Machine[9] were tested by different statistical approaches.PA Speaker Accessories and Parts shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Perfect Laser Rotary DOT Peen Marker for Sale(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 inFactory Directly Amlogic S905W Quad Core HD 4K Android 7.1 T95 S2 Wireless TV Box T95s2.

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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 Sells Solar Power System for Home 3kwh with Both AC&DC Output/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.


Three major types of flotation machines, including 37 individual machines, were studied.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, required air pressure, and power were considered as predictor variables simultaneously.

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Anti Explosion High Stability Sealed Pressure Sensor$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.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use, 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%)Screw Compressor Low Cost Small Type Pressure Sensor. In the MRA cases, this property is owed to the SFM (3.05%).


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.Solar Energy Storage System Built-in Inverter. Moreover,4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lithium Battery 200ah LiFePO4 Pack 3kwh, 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 (Mini electric truck/ express vehicle/ Express vehicles), maintenance (Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes), 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,Smokeless Rice Husk Continuous Carbonization Oven for Sale), and annual cost index of mineral processing equipment.45kw Mf Induction Heating Machine Heater, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ytd-Dih25 IGBT Automatic Induction Heating Machine. Maximum MAER of 13.5% and minimum R2of 0.Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System-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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