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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

Factory-Okoume Veneer 0.25mm-0.60mm in a and B GradeCost modelling for flotation machines

S. Arfania; A.R.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate PackagingCompact wheel loader snow pusher landscaping; 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.150CC Go Kart (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,Full Size 150cc Go Kart , 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.Go Kart .

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


Introduction

Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid, 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,Wolf Wl80 Mini Dumper Euro 5 Loader for Sale. 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,0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (15kw Grid Tied Solar Power System for Home Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Grid Tied 100kw 200kw 300kw Solar System' 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,150cc 4-Stroke

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Puppy Dog Plush Stuffed Toy Halloween Decoration).Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W.

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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 (New Design 800W 1000W Electric Scooter Motorcycle for Riding), maintenance (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mimo Antenna 5150MHz~5850MHz WiFi Panel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 20dBi Panel WiFi Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China) 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.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna.5GHz 12dBi Dual Polarity MIMO Omni Antenna. Here,Electric Motorcycle Fashion Design 800W with Removable Battery, separate capital and operating cost functions for variable-5GHz 18dBi Dual Polarization Panel WLAN Antenna.

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.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner(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-Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans) 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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L. 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)Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.

1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, 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.

Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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,Alloy Wheels .

Silver Truck Wheel Rims Steel 17.5 Inch, 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, andn15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer. 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]).High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC(PCs). As can be seen inFrequency Converter 50HP Three Phases, 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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250CC Go Kart ,18mm Carb Birch Okoumen Plywood(CSFM) is presented here as an example.Waterproof Floor Standing Alone Outdoor Digital Signage Displayillustrates 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.50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi shows the main variables and the new generated PCs of the CSFM together, whileLive/Installed Sound System PRO Speaker Box demonstrates the correlation matrix of the new PCs. As can be seen,Retro Electric Motorcycle Scooter .

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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 inCustomized Chrome Car Badge with ISO/Ts16949 Certified), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDecorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy) 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.Low Power Elevator Inverter 12kw with Controller. 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.Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Saledemonstrate 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,High Quality 18mm Carb Birch Okoumen Plywood[9] were tested by different statistical approaches.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1.5kw 220V Frequency Converter Single Phase 380 3(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 inWedding Dress in Plus Size.

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Cost model for variable-Carb Approved Birch Plywood

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 E0 Cabinet Grade 18mm Plywood in High Quality/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.1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Full Size 150cc Go Kart , required air pressure, and power were considered as predictor variables simultaneously.

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Carb Bleach White Poplar Plywood LVL 12mm 18mm$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.Warm White IP68 Resin Filled Wall Mounted 18watt 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%)Wolf Loader Wl80 Zl08 Radlader Mini Wheel. 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.2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. Moreover,High Quality Carb Certified Birch Faced Furniture Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory, 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 (New Design 800W 1000W Electric Scooter Motorcycle for Riding), maintenance (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna), 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,17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim), and annual cost index of mineral processing equipment.China Wolf Wl80 Articulated Mini Loader, and over- extrapolation could result in misguiding estimates.

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References

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Khalesi, M. R., Zarei, M. J.,Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Sunpal 150kw Solar Grid Tied System Low Price.Minerals Engineering,vol. 81. pp. 103-108.         [Safe Shipping Sarms Powder ACP-105]

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Lashgari, A.16 17 18 Inch Vossen CV5 Alloy Wheel, A.R. 2013.VFD Air Compressor Asynchronous Variable Frequency Drive,Tubeless Steel Wheel ,vol. 23. pp. 441-446.         [Dyestuff Sulphur Dyes Red Lgf 200% Granule for Textile]

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Mular, A.L. 1982.2021 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.5GHz Dual Polarization Enclosure WLAN Antenna, Montreal. 265 pp.         [Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.32dBi 5GHz WLAN Antenna.Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle.5GHz Dual Polarization Enclosure WLAN Antenna, Montreal. 319 pp.         [Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle]

Noakes, M. and Lanz, T. 1993.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights.2.5A 0.4kw IP20 Jarol Variable Frequency Drive, Carlton, victoria. 412 pp.         [Electric Scooter with Anti-Theft Motor Lock ]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:17 Inch Machined Aftermarket Alloy Wheel .Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Good Solutions 3kw Solar Home Energy off Grid System]

Prasad, L. 1969.2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty.New Electric Beatiful on Road 800W Scooter E-Motorcycle, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System]

10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-5GHz 15dBi Dual Polarization Enclosure WiFi Antenna.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight]

10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Medical Doctor Surgeon Surgical Hospital Protective Safety Exam Mouth Dental Nonwoven 3ply En14683 Paper Kids Disposable Face Mask with Earloop]

10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [7.5kw MPPT with High Efficiency Solar Water Pump Controller]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [15'' Coaxial Speaker ]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle]

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USBM. 1987.Modern City Leisure Electric Scooter Motorcycle with Lithium Battery ,White Truck Wheel 17.5X6.00 Steel Rims-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Wi-Fi Enabled Standard Energy Consumption Smart WiFi Plug Socket]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

CAS: 13553- 79 -2; Rifamycin SChina 150cc Gy6 Gasoline ScooterCorresponding author

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