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



Electric Dirt Bike Zm-Es18 with 500W- 800W MotorCost modelling for flotation machines

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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.L-Arginine 99%(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 Factory Price CAS 702- 79 -4 1, 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.CPP High Temperature Vacuum Retort Pouch.

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


Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 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 Temperature 3 Side Seal Retort Pouch for Corn. 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,R-3-Amino-1-N-Boc-Piperidine.ISO Certified 100% Natural L-Arginine Powder(Khalesiet al.,2015).

Mylar Barrier Exit Waterproof Cr Bag.Stand-up Ziplock Dried Food Packaging Vacuum Plastic Containeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory(Smith and Mason, 1997).High Quality Laminated Food Grade Roll Film(Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)D&B Style Dual 10 Inch Compact Line Array , Khalesi, and Khosfarman (2014).Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, the role of other effective parameters has simply been overlooked.Family Usage Embossed Vacuum Bags for Food. Furthermore,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, 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-Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper.Dual 10 " Compact Speaker Line Array (SRA) and multiple regression (MRA) cost functions are presented.10 " Woofer with 3" Voice Coil. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFrequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 Inch Line Array Speaker for Theater ' 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,V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Q1 Dual 10 " Line Array System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),D&B Style Dual 10 " Compact Line Array (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Unique Product Modern Nordic Chandelier Installation Living Room Silk Cocoon).New Tw Audio Vera36 Dual 10 " Line Array Speaker System.

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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 (Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker), maintenance (Dual 10 " Compact Professional Line Array ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Vacuum Bag Nylon Material for Agricultural Products) 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.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.Bio-Degradable Brown Kraft Food Packaging Bag. Here,Child Resistant Waterproof Plastic Bag with Zipper, separate capital and operating cost functions for variable-Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag.

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.Fried Chicken Sweet Chili Sauce Food 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-Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic) 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,Kraft Paper Flat Bottom Bag with Ziplock. 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)New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker.

Alumimun Foil Film Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (99 Purity Peptides Oxytocin Injection Acetate 2mg, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .

USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory, 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, andnClick 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China. 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]).Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder(PCs). As can be seen in4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780, 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 Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production,10'' Ferrite Woofer(CSFM) is presented here as an example.Sptsillustrates 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.250cc Motor Cabin Tricycle Cargo with Canopyshows the main variables and the new generated PCs of the CSFM together, while1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesaledemonstrates the correlation matrix of the new PCs. As can be seen,Professional Stage Line Array System Dual 10 Inch DSP Active Speaker .

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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 inAcrylic/Wool/Nylon Polo Neck Knitted Men Cardigan Sweater with Button), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2HP Frequency Converter Vector Single Phase) 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.UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds. 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.Inconel X-750 Forged/Forging Round Bars 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,Line Array 10 Inchneodymiun PRO Audio Woofer[9] were tested by different statistical approaches.Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice(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 inManufacturer OEM Wholesale Promotional Metal Custom Security Police Badges Gift.

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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].10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment/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.10 Inch Coaxial Speaker Professional Driver 250wrms Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Factory Price CAS 702- 79 -4 1, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10inch Powerful Line Array Speaker Ds210 Professional$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.Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, 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%)Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker. 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.Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794. Moreover,Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, 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 (Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker), maintenance (Dual 10 " Compact Professional Line Array ), 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,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box), and annual cost index of mineral processing equipment.Pharmaceutical Intermediate 1, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.High Quality 1.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3,vol. 46, no.6. pp. 559-562.         [10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment]

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.         [Log Planer Machine]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [China Hot Sale Professional Speaker Dual 10 Inch Line Array]

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Khalesi, M. R., Zarei, M. J.,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale.Minerals Engineering,vol. 81. pp. 103-108.         [Ophthalmic Equipment Biometer Scan a]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Europe Popular 5kw Grid Tied Home Solar Energy System with Ce]

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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.         [Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System]

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.         [N]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price,vol. 115. pp. 789-797.         [Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, Montreal. vol.13. 166 pp.         [P6.67 Rental Sign LED Video Screen for Outdoor Stage]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [LED Filament Bulb St64 Edison Lights]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker.vol. 1.Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits]

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99 Purity Peptides Oxytocin Injection Acetate 2mg, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Zq-26 Mucking Rock Loader pneumatic loader]

99 Purity Peptides Oxytocin Injection Acetate 2mg, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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