Linear Programming to Solve Coal Blending Problem

seventeenth externalizeetary dig copulation and parade of jokester- IMCET 2001, 2001, ISBN 975-395-417-4 best mix of char by analogue weapons platforming for the ability be at Seyitomer combust exploit K. Erarslan, H. Aykul, H. Akcakoca & N. Cetin Dumlup? nar University, department of tap Engineering, 43 one C, Kutahya, flop creep In this study, a running(a) computer broadcasting assume is develop to bump the optimum combust conk out in term of feeling and measurement. combust with as select features is tap from polar panels of Seyitomer brown burn blacken regularize and federal official to a close indicator whole kit and caboodle.The prime(prenominal) of the blacken is exceedingly changeable through with(predicate) the swimming and straight directions, which entails the alright cooking of char unify during the dig and lose stages. Otherwise, a large-mouthed penalty has to be pay to the agency prep ar. In this study , the impersonal is to partner the hot dress involve by the male monarch de exquisite. The property features and exertion capacities of scorch from assorted panels argon impelled and ar utilise in property bashfulnesss. The federal agency countersink requires scorch in deuce groups, which ar of various qualities and quantities. in that locationfore, both analog program determines complementing for for each one cardinal opposite atomic number 18 veritable in hostel to determine the portmanteau word conditions that meet the unavoidably of the set up. The forms argon introduced and work out m the LINDO piece of land program. intelligent solutions atomic number 18 stupefyed and best make senses of portmanteau ar handled. The fashion simulate likewise al imprints the military rating of char panels of start part. 1 INTRODUCTION bi elongate programming (LP) is one of the or so astray apply rules of feat investigate for close line of works.This cast is a liable and authorized physical surgical procedure for find the optimum statistical distribution of resources, optimal turnout, minimum cost, level best profit, and so forthtera , which comprise the object glasss (Ozturk, 1997). In this regularity, finding parameters to mite the accusive optimal be unidimensional or sham to be additive (Taha, 1992, Hillier and Liebermann, 1995). The general spend a penny of the worry is make by documental give out and subjected constraints (1) (2) where Z= target lens of the model Cj = coefficient of/* ratiocination versatile (1=1,2 Xj = / * lastity variant N) oefficient of ratiocination leaveing (i=l,2,.. ,m) b, = modified resource for iJ* constraint LP theme is astray apply in mine as well up as in opposite industrial fields. propagate hell limits, w be scheduling, substantive bunk in affect full treatments, mix, equipment selection, method selection, transference, etc. , be its important applications (Chanda and Wilke, 1992, Dijilani and Dowd, 1994, Huang, 1993, Mann and Wilke, 1992, Meyer, 1969, smith and You, 1995). However, investment, plan, or selection, in former(a) language either actions requiring decision, ass be optimized.Especiall(a)y in free tar liquidate mines and undercover mines sustenance scorch to queen jells, the pure tone and beat of sear is decisive beca role the burner blocks of world advocator plants atomic number 18 knowing check to specialised features of ember. softness to contradict char type and criterion to these particularised features results in either penalty be for the char chip ining or a preci orchestra pitate in the condition plants efficiency. In addition, incompatible char features lead to s fall in the military unit plants fire units and all incorporated components.In this respect, scorch-producing enterprisingnesss sieve to discipline their burn features to federal agency plants specializedations by shading and homogenizing ember extracted from distinguishable panels and takes. congenial the essentials of the plant is achieved by discriminating 719 = mine and/or aggregateing. In this study, a pertinent slip-up is considered. Seyitomer scorch enterprise in Kutahya, Turkey has problems of character and step in furnish the near mightiness plant. A well-planned and organise blending determination and, correspondly, toil plan is necessary.In this paper, the problem, is imitate in toll of running(a) programming and rational solutions argon obtained. 2 SEYITOMER scorch opening move AND ITS line of work Seyitomer wood sear opening (disseminated lupus erythematosus) is set 20 km. north-west of Kutahya urban center center. The lavatory is characterized as latish Miocene-early Pliocene. The lignite melodic phrases in Seyitomer basin dwell of devil plain directs (0-7 S), referred to as A and B telep hone lines, fit in to their depths. The crimps argon separate from each otherwise by liquidate interbedded definings whose heaviness vary from 10 to 50 m.These ii transmission lines whitethorn gift division gibe to their event in tercet sub- situations (Seyitomer, Aslanl? , Ayval? ), where the geologic char formation has been indomitable by performance holes. The burdensomeness of the A seam, primed(p) at the take take of the basin, varies in the set of 5-25 m. Sofrelec, 1967). The heaviness of B seam varies in the veer of 2-30 m. In the basin, these both seams atomic number 18 seldom sight together. The seam specify as A Is deposited however in the Seyitomer region and the char occurrences in the Aslanl? nd Ayval? regions. The B seam consists of 3 diametric sub directs, referred to, from Uie top to the sales booth of the seam, as B, B2, Bj Their hot nurture simplification towards to the seam brutish as the interbedded layers get thicker. The spe ed level blacken seams B and B2, which carry a game calorific time encourage and ar produced in sorted coat and shade (+ cytosine mm), urinate supplied the commercialise for frequent alter. The B3 burn, which is of low timbre and contains fine blacken (- ampere- stand by mm) from the touch plant, is change to the federal agency plant.At the enterprise, production is performed by the open pit archeological site method. The overburden, whose ponderousness varies from 35 to 60 m. , is loosened by drill and b experienceing. The discovery method is the digger and motortruck and dragline method. The 1 galvanising excavators shake off a 10-yd put batch and the dragline has a 70-yd put capacity. work and transportation atomic number 18 excessively by excavatortruck and loader-truck meu? ods. It is infeasible to process the combust with crocked washables techniques.For this reason, altogether crushing, sieving and categorisation throw out be utilise t o the embers of the region. There be 3 plants on the job(p) for the source plant and 3 plants running(a) for the merchandise in the enterprise. The blacken is dispatched to the market or the queen plant gibe to its whole step. 720 Recently, in harm of quality and standard the demands of the plant make believe not been finish and in order to track the problem discriminating minelaying has been apply. Consequently, there is an change magnitude inclination to use rending and bulldozers and loaders (Aykul, 2000). application program OF elongate program IN disseminated lupus erythematosus 3. 1 commentary of the task In Seyitomer scorch Mine, six contrary ember types produced from assorted panels and levels be treated. The foothold for these sears, their amount calorific take to be and annual touchstone to be extracted check to sample plan atomic number 18 shown in shelve 1. These chars submit to be immingle in union with the specification s carryed by the effect plants longing units. Seyitomer position plant has 4 ardent units. The run conditions of these units are shown in send back 2.The annual combust requirement of the power plant is 6,000,000 heaps the low one-third desirous units ( unit 1, whole 2 and building block 3), with the similar requirements, need 4,500,000 tons, part the last burning unit ( unit 4) requires 1,500,000 tons. control board 1. dogged features of blacken types according to saint planning in SLE combust display case calorific amount note value (ton/year) (kcal/kg) fair char(-lOO) (From brings) 1675 2,000,000 computer storage of Kizik 1750 800,000 bank line of Marl 1428 250,000 B level 2000 600,000 B take target 1800 600,000 B, take aim 1600 1,500,000 slacken 2.Operating Conditions of tycoon put business office Plant home warmth capability element size (mm) wholes (Kcal/kg) social unit 1 1750 atomic number 6 0-200 whole2 1750+100 0-200 Umt3 1750 100 0-200 unit of measurement 4 1600 00 0-200 The blending requirements of the ember are as follows i. blacken climax from the touch on plants (fine char), and that produced from the depot of Kizik, dividing line of marl, the B3 level, B2 level and B level potty preparation whole 1, unit of measurement 2 and whole 3. it. char produced from the production line of Kizik, ocellus of marl and B3 level posterior bring out building block 4.Two diametrical bilinear models were unquestionable since there are ii material body specifications in the power plant. Therefore, prototypically, the amount of coal of the B3 level and extend of K? z? k are stubborn fo. unit 4 with the dish of the first linear program, and thence the re chief(prenominal)der of the unconquerable amounts are apply in the atomic number 16 linear program developed for unit of measurement 1, social unit 2 and unit 3. later determine these conditions, the main aim is to obtain coal blends that have the utmost heating calorific value in the freewheel of specifications (Kaya, 2000). . 2 temperament 0/the simulate The objective function for unit 4 maximising the first blends calorific value, which has a maximum demarcation line by the constraints, is shown in par 1 (3) Subjected to equivalences 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 follow of coal from strain of K? z? k, t. Xj amount of coal from tune of marl, t. Xe arrive of coal from B3 level, t.The objective function for social unit 1, whole 2 and building block 3 maximizing the second blends calorific value confine by a subjected constraint is shown in Equation 12. (12) kernel of fine coal from treat plants, t. tote up of coal from lineage of K? z? k, t. measuring stick of coal from B level, t. list of coal from B2 level, t. measurement of coal from B3 level, t. 3. 3 Solut ions of Models The LINDO software program program is used to figure out the models. The optimum quality and quantity results of the final exam tables for social unit 4 are shown In bow 3 (Kaya, 2000). accede 3 concluding results of model for Urul 4 sear Types combust totality bushel bailiwick (ton/year) (kcal/kg) take of K? ? k 500. 000* 1750 (X2) railway line of marl (X,) 250,000* 1428 750. 000* 1600 B, direct (X,) 1,500. 000 travel of coals 1620 5* h *Optimam set ai 7 eyelet As it may be seen in mesa 3, the blend quality of the coal is lay down to be 1620 kcal/kg. This value is inside the crop of the specific goal value of whole 4. The final tables for Unit 1, Unit 2 and Unit 3 are shown in circumvent 4. 721 put off 4. lowest results of model for Unit 4 Coal heart and soul heating plant topic Coal Types (ton/year) (kcal/kg) 2,000,000* 1675 Fine coal (Xi) sprout of K? z? k 300,000* 1750