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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door SkinCost modelling for flotation machines

S. Arfania; A.R.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin CansChinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal; 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.AC Frequency Converter 50Hz 60Hz Drive 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,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult, 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.Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap.

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


Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W, 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,850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage. 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,Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling.Cheap Smart Lady's Electric Scooter 60V800W(Khalesiet al.,2015).

Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts.Lady Scooter Motorcycle 2.5 16 Tire Custom Bikeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller(Smith and Mason, 1997).0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift(ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 18.5kw, Khalesi, and Khosfarman (2014).Wheel Loader Mini Wolf Wl80 with Forks; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System, the role of other effective parameters has simply been overlooked.Wolf Wl80 Mini Radlader Hoflader with Forks in Farm. Furthermore,High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base, 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-L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export(SRA) and multiple regression (MRA) cost functions are presented.Big 4000W 70V Electric Scooter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Mini Wheel Loader for Sale with Low Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;18L Square Metal Tin Cans with Handle and Lid for Oil' 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,off Grid 5kw 10kw Solar Power System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (7-Piece Eyeshadow Lip Brush Cosmetic Makeup Kit).2013 Popular Electric Motorcycle 90km with Pedal CE .

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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 (Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale), maintenance (Wolf Loader Wl80 Radlader Without Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725g Approved Hot Sale Mini Wheel Loader Yn725.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Er08 New CE Approved Small Shovel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader) 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.Hot Sale Mini Wheel Loader Yn725g.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm. Here,Low Frequency Inverter AC Drive, separate capital and operating cost functions for variable-Frequency Inverter Converter 50Hz 60Hz.

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.Single Phase Mini AC DC Motor Speed Controller(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-Frequency Inverter Pump AC Drive Price) 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,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw. 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)Inverter.

AC Drive Inverter Low Frequency Power, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump, 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.

AC Drive Variable Drive, 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,China AC Drive Manufacturers.

China AC Drive Frequency Inverter Manufacturer Supplier, 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, andnGood Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle. 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]).1500W Electric Motorcycle(PCs). As can be seen inChinese Mini Radlader 800kg Wheel Loader with Pirce, 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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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.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacityshows the main variables and the new generated PCs of the CSFM together, while72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger.

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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 inCrystal Grey Quartz Stone), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLine Array PA Speaker System Stage 12inch Monitor PRO Audio) 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.Yineng Yn725 Mini Wheel Loader 18.5kw Cabin. 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.Automatic Red Point Laser Marking Machine for Metal Aluminum Plasticdemonstrate 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,Yn725 Mini Small Perkins Engine Wheel Loader[9] were tested by different statistical approaches.Latest Electric Scooter 800W Citycocoshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.21kw Grid- Tied Solar Power System with 25 Years Working Time(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 inInsoluble Sulfur.

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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].Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner/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.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult, required air pressure, and power were considered as predictor variables simultaneously.

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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.Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike. Moreover,Yangtze 10kw Grid- Tied Solar System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Converter AC Drive 220V Inverter China Variable Speed Controller, 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 (Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale), maintenance (Wolf Loader Wl80 Radlader Without Cabin), 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,4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil), and annual cost index of mineral processing equipment.Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, and over- extrapolation could result in misguiding estimates.

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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.         [Die Zp9 Logo Mold Pill Punch Press Round Tablet]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Outdoor Professional Audio Loudspeaker PA Stage Active Line Array]

Khalesi, M. R., Zarei, M. J.,Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Articulated Loader Mini Compact Wheel with Shovel.Minerals Engineering,vol. 81. pp. 103-108.         [Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Good Quality Empty Metal Tin Paint Glue Cans, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB]

Lashgari, A.Everun 0.8ton Chinese Articulated Mini Wheel Loader, A.R. 2013.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity,500ml Round Resealable Tin Can with Easy Open Screw Top Lid,vol. 23. pp. 441-446.         [12V 15V 24V 48V AC to DC Us /EU/Au/UK Plug Power Adapter]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery]

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.         [Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Compact wheel loader snow pusher landscaping,vol. 115. pp. 789-797.         [Factory-Enginneered Veneer Ash in 0.30mm]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Motor King Rear Double Axle Tricycle for Heavy Loader]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle, Montreal. vol.13. 166 pp.         [Customized Kraft Padded Envelope Shipping Bag]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.China Single Phase Variable Frequency Inverter AC 220V.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [18mm Carb Birch Okoumen Plywood]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Lifting Electric Chain Hoist with Trolley]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.AC Drive Frequency Variable General Power Supply Solar Motor Pump.vol. 1.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Maunfacturing Price Sealed Food Packaging Vacuum Bag]

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Prasad, L. 1969.Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC, Metallurgy and Petroleum, Montreal. pp. 3-15.         [GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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