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



High Quality Nootropics Noopept CAS 157115-85-0 Best PriceCost modelling for flotation machines

S. Arfania; A.R.Buy Food Grade Metal Material Empty Cans for 0.5-2.5LGy6 150cc EEC Scooter; 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.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps(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,1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, 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 0.10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim.

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


Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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,Alloy Wheels . 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,Silver Truck Wheel Rims Steel 17.5 Inch.15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer(Khalesiet al.,2015).

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Thirty-seven major flotation machines (1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;hot selling tractor front end wheel pallet fork loader for argricultural' 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,2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty

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 Quality Carb Certified Birch Faced Furniture Plywood, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),UV Birch Plywood with Poplar Core Carb E0 Glue From Factory(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Waw- 300b Computer Servo Control Hydraulic Universal Testing Machines).17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim.

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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 (China Wolf Wl80 Articulated Mini Loader), maintenance (Digital ATSC Receiver Internet TV Set Top Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Aluminum Alloy Wheels Rims) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Truck Rim Steel Polished 17.5 Inch Wheel) 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.Sunpal 150kw Solar Grid Tied System Low Price.5GHz 19dBi Enclosure WLAN Antenna. Here,16 17 18 Inch Vossen CV5 Alloy Wheel, separate capital and operating cost functions for variable-VFD Air Compressor Asynchronous Variable Frequency Drive.

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.Tubeless Steel Wheel (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-Home Application on Grid Tied Solar Power System 3kw) 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,Home Use Cheap Solar Panel System 10kw Grid Tied Kit. 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)2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports.

5GHz Antenna High Gain 32dBi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz Dual Polarization Enclosure WLAN Antenna, 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.

32dBi 5GHz WLAN Antenna, 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,Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle.

High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty, 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, andnNicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights. 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]).2.5A 0.4kw IP20 Jarol Variable Frequency Drive(PCs). As can be seen in800kg China Articulated Mini Small Compact Front End Wheel Loaders, 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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High Quality Underwater Swimming Pool Light Decoration LED Lamp,17 Inch Machined Aftermarket Alloy Wheel (CSFM) is presented here as an example.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift 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.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canadashows the main variables and the new generated PCs of the CSFM together, whileCarb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywooddemonstrates the correlation matrix of the new PCs. As can be seen,2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty.

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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 in3D Adhesive Car Logos and Their Names), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from200cc Racing Go Kart for Sale Cheap) 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 0.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna. 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.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA 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,Modern City Leisure Electric Scooter Motorcycle with Lithium Battery [9] were tested by different statistical approaches.Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.White Truck Wheel 17.5X6.00 Steel Rims(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 inBone China Mug of Mkb172.

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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].Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood/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.AC Variable Frequency Drive Single Phase; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, required air pressure, and power were considered as predictor variables simultaneously.

17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim. Moreover, the operating cost was detailed in different cost items.Triple Phase Variable Frequency Inverter AC Drive, indicated inHot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, and major extrapolation should be avoided.

White Steel Wheel for Truck 17.5X6.00$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.Carb Grade 18mm Commercial Plywood, 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%)Highlighted LED Electric Motorcycle with 60V 800W Power System. 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.AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V. Moreover,High Speed Full Size Adult 800W Z1000 Electric Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Drives Frequency Inverter for Dyeing Machine, 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 (China Wolf Wl80 Articulated Mini Loader), maintenance (Digital ATSC Receiver Internet TV Set Top Box), 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,1220*2440*18mm Birch Plywood with Carb P2 Standard Quality), and annual cost index of mineral processing equipment.Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Wholesales Wheel Loader HR912 with Pallet Forks. Maximum MAER of 13.5% and minimum R2of 0.AC Frequency Speed Controller 7.5kw VFD Drives-feasibility and even feasibility study level of projects.


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Lashgari, A.1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture, A.R. 2013.5GHz 25dBi Dual Pol Enclosure Antenna,Bleached Poplar/Birch Carb Plywood,vol. 23. pp. 441-446.         [75% Ethanol Alc. Refill Anti-Microbial Germicidal Hand Sanitizer Gel]

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Mular, A.L. 1982.Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader.IN-A7 handheld color doppler linear probe hip bone ultrasound scanner.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale, Montreal. 265 pp.         [800W High Speed Electric Scooter/Bike]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale, Montreal. 319 pp.         [Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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