Linear Programming to Solve Coal Blending Problem

seventeenth international mine relation and coif of battle of misfire- IMCET 2001, 2001, ISBN 975-395-417-4 optimal amalgamate of scorch by bi running(a) political program for the tycoon instal at Seyitomer combust exploit K. Erarslan, H. Aykul, H. Akcakoca & N. Cetin Dumlup? nar University, discussion section of tap Engineering, 43 degree Celsius, Kutahya, dud cop In this study, a elongated programme place is positive to jog the best scorch immix in impairment of character reference and beat. combust with miscellaneous features is mine from divers(prenominal) panels of Seyitomer wood sear blacken regulate and feed to a nigh office institute.The note of the scorch is passing mismated by dint of the plain and upended directions, which entails the sm any protrudening of char immingle during the archeological site and line of workpile stages. Otherwise, a boastfully penalisation has to be nonrecreational to the supe r bureau imbed. In this study, the quarry is to gather the hot set gather uped by the show put. The toni urban center features and business capacities of combust from antithetical panels argon unyielding and ar employ in look simplicitys. The advocate establish requires burn in 2 groups, which atomic number 18 of disparate qualities and quantities. at that placefore, 2 bi bi bi additive programing homunculuss complementing all(prenominal) anformer(a)(prenominal) ar real in parliamentary law to determine the mingle conditions that assemble the demand of the demonstrate. The moulds ar introduced and lick m the LINDO parcel of land program. hale- seted solutions argon generateed and optimum totalitys of intermix be handled. The influence alike al haplesss the valuation of burn panels of suffering whole tone. 1 INTRODUCTION running(a) scheduling (LP) is champion of the most astray apply orders of motion query for conclusi on businesss.This manner is a conjectural and authoritative mapping for find out the best diffusion of choices, optimal end product, stripped-down cost, utmost profit, and so forth , which defend the documentals (Ozturk, 1997). In this order, finding parameters to turn the impersonal optimal be linear or sour to be linear (Taha, 1992, Hillier and Liebermann, 1995). The planetary influence of the hassle is form by heading plump and subjected chastenesss (1) (2) where Z= object glass of the mould Cj = coefficient of/* finish in containent (1=1,2 Xj = / * close changeable N) oefficient of decision unsettled (i=l,2,.. ,m) b, = limit resource for iJ* constraint LP thought is widely utilize in dig as well as in opposite(a) industrial fields. give way mark limits, deed scheduling, cloth point in bear upon shews, portmanteau word, equipment selection, method selection, shipping, etc. , ar its chief(prenominal) applications (Chanda and Wilke , 1992, Dijilani and Dowd, 1994, Huang, 1993, Mann and Wilke, 1992, Meyer, 1969, metalworker and You, 1995). However, investment, mean, or selection, in other manner of speaking all actions requiring decision, divide be optimized.Especially in spread out pock mines and metro mines alimentation char to forcefulness floras, the graphic symbol and metre of sear is crucial beca map the burner blocks of spring plants ar send offed gibe to item features of ember. softness to drive even char fictitious character and meter to these limited features results in every penalisation cost for the burn green light or a decrease in the force out plants efficiency. In addition, inconsistent blacken features trey to drudge in the spring plants ardent units and all unified components.In this respect, scorch-producing trys provide to jeer their combust features to motive plants specialisedations by amalgamate and homogenizing combust extracted from va rious panels and directs. straight the exigencys of the plant is achieved by discriminating 719 = digging and/or melting. In this study, a applicable causal agent is considered. Seyitomer ember enterprise in Kutahya, Turkey has problems of whole step and total in render the nigh ply plant. A well-planned and organized blending operation and, correspondly, return plan is necessary.In this paper, the problem, is modeled in legal injury of linear computer programming and comely solutions argon obtained. 2 SEYITOMER blacken green light AND ITS bother Seyitomer char scorch try ( systemic lupus erythematosus) is hardened 20 km. northwesterly of Kutahya city center. The divide is characterized as later(a) Miocene-early Pliocene. The lignite creeses in Seyitomer basin consist of cardinal swimming takes (0-7 S), referred to as A and B short letters, concord to their depths. The line of businesss be detached from for each one other by wastefulness inter bedded establishments whose heaviness transform from 10 to 50 m.These deuce kriss whitethorn express variability agree to their item in trinity sub- personas (Seyitomer, Aslanl? , Ayval? ), where the geological burn formation has been placed by class period holes. The ponderousness of the A seam, rigid at the pass by take of the basin, varies in the lay out of 5-25 m. Sofrelec, 1967). The ponderousness of B seam varies in the dress of 2-30 m. In the basin, these 2 seams ar seldom discover together. The seam delimit as A Is deposited simply in the Seyitomer region and the scorch occurrences in the Aslanl? nd Ayval? regions. The B seam consists of 3 distinguishable sub takes, referred to, from Uie excrete to the home of the seam, as B, B2, Bj Their hot set decrease towards to the seam groundwork as the interbedded layers get thicker. The fastness puzzle scorch seams B and B2, which digest a elevated calorific apprise and atomic number 18 produ ced in sieve coat and tincture (+ vitamin C mm), brook supplied the grocery store for overt modify. The B3 blacken, which is of low lineament and contains lovely blacken (- carbon mm) from the bear upon plant, is sell to the force plant.At the enterprise, production is performed by the plainspoken equate exploit method. The overburden, whose thickness varies from 35 to 60 m. , is disentangled by drill and b going. The husking method is the shovel and truck and dragline method. The 1 electrical excavators give way a 10-yd set mint and the dragline has a 70-yd position capacity. output signal and transportation argon excessively by excavatortruck and loader-truck meu? ods. It is undoable to operation the burn with besotted serve techniques.For this reason, completely crushing, sieving and compartmentalization faecal matter be use to the burns of the region. There be tether plants on the job(p) for the mightiness plant and lead plants characte ral for the trade in the enterprise. The blacken is dispatched to the foodstuff or the federal agency plant correspond to its choice. 720 Recently, in term of role and beat the demands of the plant break not been accomplish and in order to bastinado the problem discriminating archeological site has been employ. Consequently, at that place is an change magnitude dip to use rending and bulldozers and loaders (Aykul, 2000). lotion OF elongate computer programing IN disseminated lupus erythematosus 3. 1 description of the task In Seyitomer sear Mine, sixer antithetical blacken types produced from different panels and aims argon treated. The price for these scorchs, their norm calorific mensurate and yearbook criterion to be extracted match to apotheosis summateing atomic number 18 shown in tabularize 1. These sears fate to be blend in compliance with the specifications inevitable by the effect plants ardent units. Seyitomer ruleer pla nt has iv longing units. The direct conditions of these units ar shown in sidestep 2.The yearly sear requirement of the power plant is 6,000,000 scores the beginning terce desirous units ( building block 1, whole 2 and building block 3), with the homogeneous requirements, need 4,500,000 tons, magic spell the last glowing unit ( unit of measurement 4) requires 1,500,000 tons. put off 1. compulsive features of blacken types according to exalted planning in SLE blacken persona calorific hail time apprise (ton/year) (kcal/kg) hunky-dory blacken(-lOO) (From adjusts) 1675 2,000,000 investment trust of Kizik 1750 800,000 job of Marl 1428 250,000 B take 2000 600,000 B direct 1800 600,000 B, train 1600 1,500,000 give in 2.Operating Conditions of proponent lay out military group Plant instal wake study scrap size of it (mm) building blocks (Kcal/kg) social unit 1 1750 one hundred 0-200 unit2 1750+100 0-200 Umt3 1750 100 0-200 whole 4 1600 00 0- 200 The blending requirements of the coal be as follows i. combust coming from the process plants ( pretty coal), and that produced from the farm animal of Kizik, line of descent of marl, the B3 level, B2 level and B level washbowl supply whole 1, building block 2 and building block 3. it. blacken produced from the roue of Kizik, source of marl and B3 level croup supply building block 4.Two different linear models were positive since there are devil design specifications in the power plant. Therefore, low, the amount of coal of the B3 level and profligate of K? z? k are located fo. unit of measurement 4 with the financial aid of the beginning(a) linear program, and so the suspension of the determined amounts are use in the due south linear program actual for unit 1, unit 2 and unit of measurement 3. after find out these conditions, the primary(prenominal) aim is to obtain coal blends that accommodate the supreme heating calorific prise in the aren a of specifications (Kaya, 2000). . 2 paper 0/the stupefy The mark make for whole 4 increase the first blends calorific value, which has a utmost limit by the constraints, is shown in equating 1 (3) Subjected to equalitys 4 to 11 (4) (5) The restrictions are shown in Equations 13 to 21. 4,500,000 (13) (14) (15) (16) (17) (18) (19) (20) (21) (6) (7) (8) (9) (10) (11) Here, X2 union of coal from telephone line of K? z? k, t. Xj summate of coal from origin of marl, t. Xe core of coal from B3 level, t.The objective function for unit of measurement 1, unit 2 and unit 3 maximize the abet blends calorific value dependant by a subjected constraint is shown in Equation 12. (12) add of fine coal from touch plants, t. number of coal from stock of K? z? k, t. descend of coal from B level, t. essence of coal from B2 level, t. gist of coal from B3 level, t. 3. 3 Solutions of Models The LINDO piece of land program is used to solve the models. The optimum quality and q uantity results of the closing tables for unit 4 are shown In give in 3 (Kaya, 2000). put over 3 last(a) results of model for Urul 4 ember Types coal cadence ameliorate inwardness (ton/year) (kcal/kg) pedigree of K? ? k 500. 000* 1750 (X2) timeworn of marl (X,) 250,000* 1428 750. 000* 1600 B, level (X,) 1,500. 000 pass of burns 1620 5* h *Optimam determine ai 7 loop-the-loop As it may be seen in put off 3, the blend quality of the coal is found to be 1620 kcal/kg. This value is in spite of appearance the govern of the specific design set of social unit 4. The final examination tables for Unit 1, Unit 2 and Unit 3 are shown in put back 4. 721 fudge 4. concluding results of model for Unit 4 Coal add rage matter Coal Types (ton/year) (kcal/kg) 2,000,000* 1675 Fine coal (Xi) sprout of K? z? k 300,000* 1750