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



Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free SampleCost modelling for flotation machines

S. Arfania; A.R.0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase PumpWater Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine; 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.Jarol Strong Overload Capacity AC Drive Frequency Inverter (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,China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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.Sporty Electric Scooter .

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


SMD3014/2835 AC/DC Underwater LED Swimming Pool Light, 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,30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box. 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,Best Selling 4X4 Farm ATV.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao(Khalesiet al.,2015).

Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheelset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip(Smith and Mason, 1997).Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q(Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped). One of the preliminary works was undertaken by Prasad (1969)Plywood Mdo / Hdo for Concrete Formwork Slab Form, Khalesi, and Khosfarman (2014).Electric Scooter/ Motorcycle/TM-Monya; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Electric Scooter with Anti-Theft Motor Lock , the role of other effective parameters has simply been overlooked.Hot-Sale Sporty Electric Motorcycle Mn5. Furthermore,Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, 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-RGB/White 18W PAR56 LED Swimming Pool Light.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light(SRA) and multiple regression (MRA) cost functions are presented.PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (18W Recessed IP68 PAR56 LED swimming Pool Underwater Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in300cc Cargo Tricycle of Asia Market(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting' 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,Rosen 7kw Grid Tied on Solar Panel System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,11kw Grid Tied Solar Energy System Industrial Power Supply, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Customized 18mm Carb Birch Okoumen Plywood(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Locknut with External-Tooth Lock Washer).China Plywood for The Furniture/Construction.

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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 (3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use), maintenance (Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Grid Tied Wind Solar Power System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ash Solid Wood decoration Board) 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.980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity..800ml Square Metal Containers. Here,800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price, separate capital and operating cost functions for variable-Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid.

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.Hot Sale Metal Round Cans for Paint or Chemical Packaging(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-Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket) 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,Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans. 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)Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans.

5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg, 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.

Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, 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,Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans.

Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance., 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 Duty Chinese mini loader. 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]).Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black(PCs). As can be seen inWall Mount Speaker Bracket , 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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Yn725 Yineng Mini Wheel Loader 18.5kw Cabin,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(CSFM) is presented here as an example.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speakerillustrates 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.Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in Chinashows the main variables and the new generated PCs of the CSFM together, whilePolymer Science 2-Phenylbenzimidazole CAS 16- 79 -0demonstrates the correlation matrix of the new PCs. As can be seen,Upgraded Full HD North America Internet ATSC TV Decoder.

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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 inModern House PVC Lvt Spc Flooring Click Interlocking Waterproof Commercial Plastic Wood Vinyl Floor Tile China Manufacturer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHeat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag) 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.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty. 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.Hospital Equipment Portable Ultrasound Bone Densitometer at Best Pricedemonstrate 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,Mag City Scooter 80km Range Two Wheel Electric Motorcycle[9] were tested by different statistical approaches.Modern European Style Noble House Furniture Large Sectional Fabric Sofashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Scooter/ Motorcycle/TM-BQ(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 inWaterproof Backpack Bag 30 Liter.

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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].Go Kart /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.New Go Kart ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle$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 0.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor, 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%)High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip. 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.50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive. Moreover,3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter, 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 (3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use), maintenance (Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System), 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,Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor), and annual cost index of mineral processing equipment.Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.TUV Certificate Gried Tied on Grid 30kw Solar Power System.2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme,vol. 46, no.6. pp. 559-562.         [Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital]

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.         [Wholesale Artificial Decorative Garland Christmas Wreaths Outdoor PVC Wreath]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [1L Olive Oil Can Cooking Empty Tin Can/Pot Metal]

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Khalesi, M. R., Zarei, M. J.,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-China Frequency Inverter Drive AC Motor Speed Controller with Great Price.Minerals Engineering,vol. 81. pp. 103-108.         [Discount High Strength 90/90-19 Motorcycle Tyre/Tire]

Kim, G.H., An, S.H., and Kang, K.I. 2004.China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container]

Lashgari, A.3000W Grid Tied Solar System for Home Use, A.R. 2013.Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm,Sapelli Plywood,vol. 23. pp. 441-446.         [Crown Drop Rhinestones 24 Pieces Boxed False Nails Finished MID-Length Wearing]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Adv. 1 Alloy Wheel ]

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.         [Jwell  PP Corrugated Roof Sheet Extrusion Machine]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory,vol. 115. pp. 789-797.         [Lanosterol 79 -63-0 ]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Digital Tuner ]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth, Montreal. vol.13. 166 pp.         [China Supplier Earloop 3 Ply Medical Face Mask]

Mular, A.L. 1982.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart.Electric Scooter 800W 60V20ah Lead Acid.hot selling small avant articulated tractor wheel loader for garden landscaping, Montreal. 265 pp.         [Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.UV White Birch Plywood 18mm Carb E0 Cabinet.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood.hot selling small avant articulated tractor wheel loader for garden landscaping, Montreal. 319 pp.         [Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [800W Electric Motorbike with Front Disc Brake]

Noakes, M. and Lanz, T. 1993.Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic.350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive, Carlton, victoria. 412 pp.         [Yn725g Approved Hot Sale Mini Wheel Loader Yn725]

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China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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