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


Living Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa ChairCost modelling for flotation machines

S. Arfania; A.R.AC Drive Solar Pump Inverter 220V 380V Three Phase InvertersUNS NO2200 Nickel Plate; 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.7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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,large cabin and powerful engine Customized 0.8ton mini wheel loader, 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.Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale.

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


Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine, 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,AL908 0.8ton Wheel Loader Machinery 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,Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket.800kg China Small Front High Quality Wheel Loader for Sale in Europe(Khalesiet al.,2015).

Melamine Glue WBP Commerical Plywood.Decorative Pine Groove Plywood Veneer Fancyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for White Steel Wheel for Truck 17.5X6.00(Smith and Mason, 1997).E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated(Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0). One of the preliminary works was undertaken by Prasad (1969)18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork, Khalesi, and Khosfarman (2014).18mm Embossed Melamine Faced Commercial Plywood for Furniture Making; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Filmfaced Plywood with High Quality and Cheap Price, the role of other effective parameters has simply been overlooked.9mm E1 Glue Bintangor Plywood Board. Furthermore,E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W.AC Drive(SRA) and multiple regression (MRA) cost functions are presented.Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Sell Well 800W 60V Electric Motorcycle for Daily Riding, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDisperse Dyestuff Violet Recp-Hf 100% for Textile(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation 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,Grid Tied 11kw Solar Panel System Home Commercial Power Supply

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5kw Grid Tied Solar Power System for Home Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12kw Grid Tied Solar System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cold Shrink Tube for Cable Joint Connection).Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller.

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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 (200cc/300cc Adults Racing Go Kart for Sale Ce Certificate), maintenance (Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jarol Strong Overload Capacity AC Drive Frequency Inverter ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible) 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.Sporty Electric Scooter .SMD3014/2835 AC/DC Underwater LED Swimming Pool Light. Here,30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, separate capital and operating cost functions for variable-Best Selling 4X4 Farm ATV.

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.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao(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-Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery) 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,Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels. 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)Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q.

Plywood Mdo / Hdo for Concrete Formwork Slab Form, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Electric Scooter/ Motorcycle/TM-Monya, 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.

Electric Scooter with Anti-Theft Motor Lock , 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,Hot-Sale Sporty Electric Motorcycle Mn5.

Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, 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, andnRGB/White 18W PAR56 LED Swimming Pool Light. 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]).PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light(PCs). As can be seen inOphthalmic a Scan Portable Handheld Biometer, 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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18W Recessed IP68 PAR56 LED swimming Pool Underwater Light,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting(CSFM) is presented here as an example.Light and Durable Mixing Console Mg124cx Audio Mixerillustrates 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.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifiershows the main variables and the new generated PCs of the CSFM together, while800W Electric Scooter/Motorcycle with LED Lightdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt.

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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 in2021 Moisture Wicking Men Golf Polo Shirts Dir Fit Sports Stripe Shirt), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOEM ODM Public DJ PA Wooden Speaker) 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 0.24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light. 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.Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplierdemonstrate 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,The Thinnest Wall Pool Underwater Swimming Light 18 Volts[9] were tested by different statistical approaches.3X3 LCD wall panel surveillance digital display screenshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Rosen 7kw Grid Tied on Solar Panel System(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 inSuper Quality 4holes 250V AC Power Socket Red Button Black.

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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].Customized 18mm Carb Birch Okoumen 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.China Plywood for The Furniture/Construction; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,large cabin and powerful engine Customized 0.8ton mini wheel loader, required air pressure, and power were considered as predictor variables simultaneously.

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Grid Tied Wind Solar Power System$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.Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP, 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%)Ash Solid Wood decoration Board. 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.980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.. Moreover,800ml Square Metal Containers, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price, 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 (200cc/300cc Adults Racing Go Kart for Sale Ce Certificate), maintenance (Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible), 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,Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid), and annual cost index of mineral processing equipment.Hot Sale Metal Round Cans for Paint or Chemical Packaging, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can,vol. 46, no.6. pp. 559-562.         [Portable Automatic Ultrasound Bone Analyzer Densitometer]

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.         [New Steer 12.00r24]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports]

Khalesi, M. R., Zarei, M. J.,AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg.Minerals Engineering,vol. 81. pp. 103-108.         [New Products Lift Recliner Chair Sofa ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Dual 10 Inch Line Array Speaker for Theater ]

Lashgari, A.Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, A.R. 2013.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.,High Duty Chinese mini loader,vol. 23. pp. 441-446.         [Fashion Jewelry-Bird Necklace]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Many Designs Moulded Door Skin for Interior]

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.         [Engine Controller Model Eim Basic 258 -9756]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black,vol. 115. pp. 789-797.         [Silver Truck Wheel Rims Steel 17.5 Inch]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Double Rear Tyre Tricycle with 300cc Water Cooling Engine]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, Montreal. vol.13. 166 pp.         [Plastic Customs Keychain Action Figures Toys]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty.Upgraded Full HD North America Internet ATSC TV Decoder, Montreal. 319 pp.         [Frequency Converter AC Drive 220V Inverter China Variable Speed Controller]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Mag City Scooter 80km Range Two Wheel Electric Motorcycle.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Yn725g Hot Sale Mini Wheel Loader]

Noakes, M. and Lanz, T. 1993.Electric Scooter/ Motorcycle/TM-BQ.Commerical Okoume Plywood for Sale, Carlton, victoria. 412 pp.         [Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Grade 80 Powder Coated Alloy Steel Eye Grab Hook for Chain Sling]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Go Kart .vol. 1.New Go Kart , Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag]

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Prasad, L. 1969.New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale.Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da]

Electric Scooter/ Motorcycle/TM-Monya, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Padlock]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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