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



Speaker Wall Mounting Bracket Cost modelling for flotation machines

S. Arfania; A.R.China Wholesale 110/90-16 High Quality Motorcycle Tyre/TireMulti-Function 10 " Passive Full Range DJ Stage Speaker System; 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.Peonylighting 800W High Pole Stadium LED Flood Yard Lamp(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,High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W, 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.Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine.

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


RF Microneedle Thermal Facial Lift Beauty Equipment, 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,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150. 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,Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting.High Feedback Tied Malaysian Virgin Hair(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCarb Approved Birch Plywood(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Radio Frequency Aesthetic Equipment' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Medical Machine / Multipolar RF Facial Beauty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Luxury China Factory Hotel Amenities).Good Packed Bottle PE Film Shrink Wrapping Machine China.

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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 Certified Factory Price China Motorcycle Tires 2.75- 17), maintenance (25kw High Frequency Induction Heater for Bolts&Rivet) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fractional RF Vacuum Slimming Machine for Lose Weight.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Online Flying Laser Marking Machine for Operation Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line) 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.Portable 20Hz RF Face Lift Machine.ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17. Here,DOT Certified off Road Chinese Motorcycle Tire 3.00- 17, separate capital and operating cost functions for variable-Linear Type Thermal Film Packing Machine / 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.Good Solutions 3kw Solar Home Energy off Grid System(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-Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter) 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,25kw High Frequency Induction Heat Soldering Machine. 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)Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light.

10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Beverage Water Packing Equipment , 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.

Automatic Shrink Wrapping Machine 0-20package/Min, 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,Automatic Bottle PE Film Shrink Wrapping Packing Machine .

Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching, 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, andnIP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W. 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]).Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf(PCs). As can be seen inHigh Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, 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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Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight,Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting(CSFM) is presented here as an example.Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4illustrates 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.China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machineshows the main variables and the new generated PCs of the CSFM together, whileD&B Style Dual 10 " Compact Line Array demonstrates the correlation matrix of the new PCs. As can be seen,Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood 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 inQS Courier Services Air Shipping From China to Herzegovina), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim) 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.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L. 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.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin demonstrate 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 Stainless Steel 304 Bottle with Clamp and Silicone Gasket[9] were tested by different statistical approaches.49 Inch Portable Alone Standing LED LCD Poster Digital Menu Boardshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Automatic Pure/Mineral Bottle Water Packing Machine (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 inAutomatic Hamburger Patty Pie Forming Making Machine.

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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].300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle/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.250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle$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.Factory Outlet Dog Tag Laser Marking Machine for Metal 50W, 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%)1500cc Watercraft with 3seat. 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.Portable-Rorary Type DOT Peen Marking Machine for Metal. Moreover,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Underwater 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 Certified Factory Price China Motorcycle Tires 2.75- 17), maintenance (25kw High Frequency Induction Heater for Bolts&Rivet), 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,WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater), and annual cost index of mineral processing equipment.20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic. Maximum MAER of 13.5% and minimum R2of 0.8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light.IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light,vol. 46, no.6. pp. 559-562.         [HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato]

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.         [China stainless steel food grade welded Y type hygienic filter]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [SMD3014/2835 AC/DC Underwater LED Swimming Pool Light]

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Khalesi, M. R., Zarei, M. J.,China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery.Minerals Engineering,vol. 81. pp. 103-108.         [Made in China Strong Compact Mini Front Loader ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans]

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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.         [High Quality 8'' Coaxial Audio Speaker for Long Throw Distance]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light,vol. 115. pp. 789-797.         [L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.3kwh Rechargeable Battery Solar Energy Power System, Montreal. vol.13. 166 pp.         [27W DC Variable Power Adapter with Ce UL]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Professional Factory Motorcycle Tyre and Motorbike .High Quality Motorcycle Parts Tyre .55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17, Montreal. 319 pp.         [2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel]

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Prasad, L. 1969.Excellent Motorcycle Cylinder for Gy6 -100 .3kwh Power Supply Solar Energy Battery Pack, Metallurgy and Petroleum, Montreal. pp. 3-15.         [21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline]

Beverage Water Packing Equipment , A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-25kw Electromagnetic Induction Heater for Tools Welding.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF]

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USBM. 1987.Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [3D Wheel Alignment H9/Tire Changer/Wheel Balancer/Garage Equipment/Automotive Equipment/Auto Maintenance/Wheel Machine Price/Wheel Aligner]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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