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



Carb Approved Birch PlywoodCost modelling for flotation machines

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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.High Feedback Tied Malaysian Virgin Hair(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,Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor, 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.Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh.

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


150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart, 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,200cc Racing Go Kart for Sale Cheap. 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,China 300cc Adult Road Legal 2 Seat Pedal Go Kart.3kwh Solar Energy Storage System(Khalesiet al.,2015).

2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter.Peanut Shell and Rice Husk Continuous Carbonization Ovenet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with(Smith and Mason, 1997).Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre(High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales). One of the preliminary works was undertaken by Prasad (1969)ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes, Khalesi, and Khosfarman (2014).Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe, the role of other effective parameters has simply been overlooked.High Quality Radio Frequency Aesthetic Equipment. Furthermore,China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre, 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-2.50- 17 .Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue(SRA) and multiple regression (MRA) cost functions are presented.Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Medical Machine / Multipolar RF Facial Beauty' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Super Quality Bias OTR Tyre 7.50-15 9.00-16 16/70-20 15.5-25 17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 13.00-24 14.00-24 14.00-25 16.00-24 16.00-25).Portable 20Hz RF Face Lift Machine.

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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 (ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17), maintenance (DOT Certified off Road Chinese Motorcycle Tire 3.00- 17) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Linear Type Thermal Film Packing Machine / Equipment.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Solutions 3kw Solar Home Energy off Grid System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter) 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.25kw High Frequency Induction Heat Soldering Machine.Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light. Here,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, separate capital and operating cost functions for variable-Beverage Water Packing Equipment .

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.Automatic Shrink Wrapping Machine 0-20package/Min(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-Automatic Bottle PE Film Shrink Wrapping Packing Machine ) 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,Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching. 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)IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W.

Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L HDPE Plastic Bottle Chemical, 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.

Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight, 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,Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting.

Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light, 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, andnHigh Quality 1L 32oz Amber Glass Bottle in Stock. 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]).Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L(PCs). As can be seen inChina Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine, 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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Automatic Pure/Mineral Bottle Water Packing Machine ,1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids(CSFM) is presented here as an example.Empty Round Tin Can Paint Package Containerillustrates 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.1000V Solar Mc4 Energy System Connector IP67 PVshows the main variables and the new generated PCs of the CSFM together, while2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cimdemonstrates the correlation matrix of the new PCs. As can be seen,300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle.

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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 inGensyu Novelties Small Eco-Friendly Plastic Water Bottles), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board) 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 0.20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany. 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.Komatsu Boom Cyl Ket for PC400-6demonstrate 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,1L /1.5L Glass Juice Bottle/Beverage Bottle[9] were tested by different statistical approaches.AC Frequency Converter 50Hz 60Hz Drive Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle(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 inP5 Outdoor Full Color LED Display HD Screen.

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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].1500cc Watercraft with 3seat/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.Portable-Rorary Type DOT Peen Marking Machine for Metal; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor, required air pressure, and power were considered as predictor variables simultaneously.

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WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater$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 0.20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals, 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%)Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic. 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.8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light. Moreover,IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light, 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 (ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17), maintenance (DOT Certified off Road Chinese Motorcycle Tire 3.00- 17), 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,150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery), and annual cost index of mineral processing equipment.8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Shrink Wrapping Machine for Water Packing .IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light,vol. 46, no.6. pp. 559-562.         [Made in China Strong Compact Mini Front Loader ]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [High Quality 8'' Coaxial Audio Speaker for Long Throw Distance]

Khalesi, M. R., Zarei, M. J.,Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-3kwh Rechargeable Battery Solar Energy Power System.Minerals Engineering,vol. 81. pp. 103-108.         [Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment]

Kim, G.H., An, S.H., and Kang, K.I. 2004.55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System]

Lashgari, A.DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality, A.R. 2013.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17,Professional Factory Motorcycle Tyre and Motorbike ,vol. 23. pp. 441-446.         [Agriculture Tyre 10.00/75-15.3]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Quality Motorcycle Parts Tyre ,vol. 115. pp. 789-797.         [2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel]

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Mular, A.L. 1982.High Speed Bottles Shrink Wrapping Machine/Group Packing Machine.Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line.1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle, Montreal. 265 pp.         [Wheel Loader Mini Wolf Wl80 with Forks]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging.3kwh 150ah Solar Home System Li-ion Battery Factory.1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle, Montreal. 319 pp.         [0.4m 5GHz Parabolic Antenna with Gain 23dBi]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Excellent Motorcycle Cylinder for Gy6 -100 .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor]

Noakes, M. and Lanz, T. 1993.3kwh Power Supply Solar Energy Battery Pack.25kw Electromagnetic Induction Heater for Tools Welding, Carlton, victoria. 412 pp.         [21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline]

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Prasad, L. 1969.Professional Manufacture Y Solar Mc4 Energy System Connector PV.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Lady's E-Scooter 800W Hot Sale Made in China]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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