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



Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin aCost modelling for flotation machines

S. Arfania; A.R.150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic IndustryPharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4; 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.14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims(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,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, 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 0.300cc Cargo Tricycle of Asia Market.

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


Building Material Commercial Plywood with Carb to Europe, 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 800kg Rated Load Wheel Loader with CE Approved 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,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New.Portable Laptop Digital Automatic Ultrasound Bone Densitometer(Khalesiet al.,2015).

Haiqin Brand 0.8ton Mini Loader .Jarol Solar Inverter 5.5kw 3 Phaseet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wolf Loader Wl80 Radlader Without Cabin(Smith and Mason, 1997).Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification(800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ). One of the preliminary works was undertaken by Prasad (1969)Textile Crane Centrifugal 380V Variable Frequency Drive VFD, Khalesi, and Khosfarman (2014).2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale, the role of other effective parameters has simply been overlooked.Inverter Cabinet VFD Frequency AC Drives 15kw Motor. Furthermore,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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-12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty.loader with excavator grapple wheel mini for sale good quality(SRA) and multiple regression (MRA) cost functions are presented.24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2ND Generation Ultrasound Bone Densitometer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 98% Acrylamid Powder CAS 79 -06 1(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series' 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,4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED Touchscreen Clever Display).12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage.

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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 (5L Metal Round Cans for Paint or Chemical Packaging), maintenance (150cc Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5L Vegetable Cooking Oil Custom Tinplate Square Can.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesale Plastic Square 1 Liter Fertilizer Bottle) 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.Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium.50cc Motorcycle. Here,Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw, separate capital and operating cost functions for variable-Zhenhua Classic Motorcycle Dax 125cc Euro4.

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.Super Cooling Smart Electric Scooter 500W 800W Motorcycle(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-Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps) 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,Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw. 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)5GHz Dual Pol Sector Antenna with Enclosure.

5GHz 18dBi Dual Polarized Enclosure Antenna , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2.4/ 5GHz 10dBi Rubber WiFi Antenna, 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.

Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion, 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,5GHz 18dBi Sector WiFi Antenna.

125cc Retro Scooter Motorcycle, 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, andnHandheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios. 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]).Hot Selling 800W Brushless Motor Electric Scooter Motorcycle(PCs). As can be seen in2D Echo Color Doppler Ultrasound Scanner, 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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High Quality Electric Motorbike with 800W Motor,800W 72V China Electric Tricycle for Handicapped(CSFM) is presented here as an example.LG 46" 49" 55" DVI LED video panel for monitoringillustrates 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.100% Purity Phenol Polyamide Resinshows the main variables and the new generated PCs of the CSFM together, whileHead Gasket demonstrates the correlation matrix of the new PCs. As can be seen,Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals.

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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 inCC warm white strip 2835 PU glue flexible Lighting LED), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKaraoke Speaker System Chinese KTV High Output Compact Box) 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 0.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports. 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.Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Eventdemonstrate 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,5GHz 29.5dBi Die Cast Grid Antenna[9] were tested by different statistical approaches.Centella Asiatica Extract 99% Asiaticoside 16830-15-2shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports(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 inBuilding Top Quality Material White Wooden Vein Marble Slabs for Wall Tile and Flooring.

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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].5GHz 23dBi Dual Polarized Panel Antenna /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.5GHz 27dBi Enclosure WiFi Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, required air pressure, and power were considered as predictor variables simultaneously.

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20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V$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 0.3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter, 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%)Water Proof Vet Ultrasound Scanner. 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.Three Phase Vector Frequence Converter with High Performance. Moreover,Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (16"X6.0" 16'x7.0' 16X8.0 16X10 Trailer Steel Rim Wheel, 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 (5L Metal Round Cans for Paint or Chemical Packaging), maintenance (150cc Motorcycle), 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,AC Drive Frequnce Converter Frequence Inverter Manufacturer Supplier), and annual cost index of mineral processing equipment.14"X5.0"J 14'x5.5'j 14X6.0j 14X7.0j Inch Steel Wheel for Sport Trailer, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price,vol. 46, no.6. pp. 559-562.         [Medical Automatic Ultrasound Bone Densitometer in Low Price]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner ,vol. 115. pp. 789-797.         [Wholesale Plastic Square 1 Liter Fertilizer Bottle]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Fuso Truck & Bus Turbo Td04 49377-03041 Me201258 for 4m40 Engine Mitsubishi Pajero]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Zl08 Chinese Small Compact Garden Farm Tractor Front End Mini Wheel Loader with Attachments, Montreal. vol.13. 166 pp.         [Perfume for Men]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork.Sp-1000ap Ophthalmic a Scan and Pachymeter.Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle, Montreal. 319 pp.         [Wireless PA System for Classroom and Church]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive]

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2.4/ 5GHz 10dBi Rubber WiFi Antenna, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-800W Electric Scooter Motorcycle Bicycle with Folding Rack.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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