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



High Quality Classic China Motor Cargo Three Wheel Motorcycle Cost modelling for flotation machines

S. Arfania; A.R.Peanut Shell and Rice Husk Continuous Carbonization OvenLtk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker; 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.Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre(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,ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes, 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.Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable.

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


Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe, 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,High Quality Radio Frequency Aesthetic 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,China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre.2.50- 17 (Khalesiet al.,2015).

Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue.Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter(Smith and Mason, 1997).Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line(Set Top Box Android 9.0 X96 Mini TV S905W). One of the preliminary works was undertaken by Prasad (1969)Medical Machine / Multipolar RF Facial Beauty, Khalesi, and Khosfarman (2014).Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Packed Bottle PE Film Shrink Wrapping Machine China, the role of other effective parameters has simply been overlooked.ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17. Furthermore,25kw High Frequency Induction Heater for Bolts&Rivet, 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-Fractional RF Vacuum Slimming Machine for Lose Weight.Online Flying Laser Marking Machine for Operation Line(SRA) and multiple regression (MRA) cost functions are presented.Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Portable 20Hz RF Face Lift Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17' 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,25kw High Frequency Induction Heat Soldering 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,Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Soya Chunks Nugget Beyond Meat Making Machine).Beverage Water Packing Equipment .

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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 (Automatic Shrink Wrapping Machine 0-20package/Min), maintenance (Automatic Bottle PE Film Shrink Wrapping Packing Machine ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf) 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.1L HDPE Plastic Bottle Chemical.Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight. Here,Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting, separate capital and operating cost functions for variable-Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light.

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.High Quality 1L 32oz Amber Glass Bottle in Stock(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-Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L) 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,1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket. 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)Automatic Pure/Mineral Bottle Water Packing Machine .

1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle, 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.

250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk, 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,20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany.

1L /1.5L Glass Juice Bottle/Beverage Bottle, 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, andnHot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle. 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]).Factory Outlet Dog Tag Laser Marking Machine for Metal 50W(PCs). As can be seen inPower Frequency Converter AC Drive Inverter, 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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Portable-Rorary Type DOT Peen Marking Machine for Metal,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993(CSFM) is presented here as an example.Water and Gas Supply HDPE Pipe Extrusion Production Line 315mmillustrates 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.Compact Neodymium Line Array 12inch 400W Passive Speaker PA Systemshows the main variables and the new generated PCs of the CSFM together, whileWholesale Folding Bed   Recliner Sofa Beds Fabricdemonstrates the correlation matrix of the new PCs. As can be seen,Underwater Light.

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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 Color Silicone Cold Shrink Tube), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBest Price 2021 New Product 3kwh Home Solar System for Outdoor Use) 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/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals. 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.Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800Wdemonstrate 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,Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic[9] were tested by different statistical approaches.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light(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 inFrozen Fruit IQF Apple Dice 10*10*10mm.

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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].IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light/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.150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes, required air pressure, and power were considered as predictor variables simultaneously.

8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light. Moreover, the operating cost was detailed in different cost items.10W Tabletop Series Fiber Laser Marking Machine, indicated inCitycoco Electric Motorcycle E6 Cheap OEM E Bike, and major extrapolation should be avoided.

Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery$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.Shrink Wrapping Machine for Water Packing , 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%)IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light. 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.3kwh Rechargeable Battery Solar Energy Power System. Moreover,55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality, 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 (Automatic Shrink Wrapping Machine 0-20package/Min), maintenance (Automatic Bottle PE Film Shrink Wrapping Packing Machine ), 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,55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17), and annual cost index of mineral processing equipment.Professional Factory Motorcycle Tyre and Motorbike , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality Motorcycle Parts Tyre . Maximum MAER of 13.5% and minimum R2of 0.Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.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,vol. 46, no.6. pp. 559-562.         [Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Promotional Cheap Metal Industries Plate Lapel Pin Professional /Bronze Blank Tinplate Souvenir Plating Nypd at Factor]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Alu. Speaker Mount Wall Bracket ]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale]

Khalesi, M. R., Zarei, M. J.,Peanut Shell and Rice Husk Continuous Carbonization Oven, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle.Minerals Engineering,vol. 81. pp. 103-108.         [Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [CAS: 79 -44-7 Dimethylcarbamoyl Chloride ]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.25kw Electromagnetic Induction Heater for Tools Welding,vol. 115. pp. 789-797.         [12inch KTV Bar PA Full Sound Speaker System Audio]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, Montreal. vol.13. 166 pp.         [Biobag Compostable Mailer Courier Bags]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.24watt New RGB Cool White Warm LED Underwater Swimming Pool Light.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Phthalaldehyde CAS 643- 79 -8]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [3015 Factory Fiber Laser Cutting Machine with Ce at an Affordable Price]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.1000V Solar Mc4 Energy System Connector IP67 PV.vol. 1.RF Wrinkle Removal Beauty Machine, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid]

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300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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