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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Line Array 10 Inchneodymiun PRO Audio Woofer(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,Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice, 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.Mylar Custom Printing Barrier Exit Bag.

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


Introduction

10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment, 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,10 Inch Coaxial Speaker Professional Driver 250wrms Line Array. 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,Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker.Manufacturer Supply 1(Khalesiet al.,2015).

Dual 10inch Powerful Line Array Speaker Ds210 Professional.Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5(Smith and Mason, 1997).Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker(Professional Line Array System Dual 10 Inch 3 Way Passive). One of the preliminary works was undertaken by Prasad (1969)Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, Khalesi, and Khosfarman (2014).Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, the role of other effective parameters has simply been overlooked.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box. Furthermore,Pharmaceutical Intermediate 1, 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-2-Phenylbenzimidazole|716- 79 -0 99% High Purity.Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3(SRA) and multiple regression (MRA) cost functions are presented.High Quality 1. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPowder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Qsn Professional Audio Dual 10 "Power Speaker Xt10(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (USA High Quality Custom Run Basketball Sport Zinc Alloy Medal Fcatory Wholesale Cheap Superior for Honor Recipients).Hot Selling Powder Thiabendazole CAS 148- 79 -8.

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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 (High Quality Coffee /Candy/Weed Plastic Container), maintenance (Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System) 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.Two-Way Passive Line Array .High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker. Here,Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, separate capital and operating cost functions for variable-Foil Liquid Packaging Stand up Spout Pouch Food 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.Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant(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-Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca) 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,Mylar Child Resistant Waterproof Plastic Bag with Zipper. 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)Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag.

Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, 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.

Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock, 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,Custom Aluminum Foil Laminated Bag with Zipper.

High Purity O-Phthalaldehyde, 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, andnPRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker. 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]).Quality Assurance O-Phthalaldehyde(PCs). As can be seen inCat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits, 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.Df B&C Trees Speaker Subwoofer Audio Professionalshows the main variables and the new generated PCs of the CSFM together, whileProfessional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801demonstrates the correlation matrix of the new PCs. As can be seen,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease.

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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 inIndustrial Skid Steer Tyre 27X8.5-15), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCheap Plastic Raw Material Granules Black Masterbatch) 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.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array . 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.Line Array with Accessories for PRO Audio demonstrate results for the machines modelled in this research.

Multiple regression results

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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 " Plywood Professional DSP Active Speaker /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.

Discussion

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Conclusion

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.Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality. Moreover,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W, 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 (High Quality Coffee /Candy/Weed Plastic Container), maintenance (Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio), 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,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery), and annual cost index of mineral processing equipment.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210. Maximum MAER of 13.5% and minimum R2of 0.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food.Food Grade Lactic Acid 79 -33-4.Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4, Montreal. 265 pp.         [Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.10 " Inch Speaker System PRO Audio Entertainment Speakers .10 -50W 6.5 Inch PA Sound Ceiling Speaker.Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4, Montreal. 319 pp.         [Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Professional Audio Speaker Double 10 Inch Line Array .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter]

Noakes, M. and Lanz, T. 1993.Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker.Custom Plastic Food Contact Packaging Bags, Carlton, victoria. 412 pp.         [Natural Horizontal Bamboo Veneer for Panel Board]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Dual 10 Inch 600W High-End Stage Line Array PRO Audio.vol. 1.Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Coaxial Speaker TD10]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Child Resistant Stand up Exit Bag.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder]

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Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, 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.         [Yg6 Yg8 Tungsten Carbide Steel Drawing Dies]

Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch]

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.         [PA Audio System 5" 10 -35W Ceiling Speaker]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Agriculture Fertilizer N 21% Ammonium Sulfate]

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USBM. 1987.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Custom Logo Glass Cosmetic Spray Bottle]

Wills, B.A. and Napier-Munn, T. 2011. Wills' Mineral Processing Technology: An Introduction to the Practical Aspects of Ore Treatment and Mineral Recovery. 7th edn. Elsevier/Butterworth Heinemann, Amsterdam.         [Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger]

Paper received Apr. 2015
Revised paper Received Jul. 2016

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