 network for a process or cluster of processes including a plurality of hot process streams to be cooled and a plurality of cold process streams to be heated.
2. Description of the Related Art
Many different types of processes consume multiple steam levels and electricity to obtain an output result, or to produce a required product or compound. For large-scale processes that, for example, consume significant amounts of fuel steam, it is preferable to optimize the consumption of energy through careful operation, design or reconfiguration of the plant and the equipment used. Further, in some industrial manufacturing processes, specific streams of material flows need to be supplied to different types of equipment and machinery at specific temperatures. These material flows may need to be heated or cooled from an original starting or supply temperature to a target temperature. This, in turn, will require the consumption of steam to heat specific streams and consumption of water, for example, to cool down specific streams.
The total energy employed or consumed by the industrial manufacturing processes can be optimized to a global minimal level, for example, through careful placement and configuration of specific material streams with respect to one another. There may be, for example, the potential for hot streams that require cooling to be placed in proximity with cold streams that require heating. Streams having thermal energy already present that need to be removed (waste heat) or streams that need to have heat added can be associated with one another to optimize the energy consumption of the process. A network of heat exchangers can be synthesized to provide a medium for utilizing this waste heat to provide heat to those streams that need to have heat added. This heat exchanger network can be a very important sub-system in any new plant.
As such, the heat exchanger network synthesis problem has arguably been one of the most studied problems in the field of process synthesis in the last four decades. The systematic synthesis of heat exchangers network, however, has proven to be a challenging task. During the last three decades a considerable number of methods have been proposed and utilized in commercial software and/or academia. These methods are referenced in the two famous review papers of T. Gundersen and L. Naess, “The Synthesis of Cost Optimal Heat Exchanger Networks,” Computers and Chemical Engineering, vol. 12, pp. 503-530 (1988), and of Kevin C. Furman and Nikolaos V. Sahinidis, “A Critical Review and Annotated Bibliography for Heat Exchanger Network Synthesis in the 20th Century,” Industrial Engineering & Chemistry Research vol
network for a process or cluster of processes include a battalion of hot process pour to be cool and a plurality of cold process pour to be heat. 
 2. Description of the Related Art 
 Many different type of processes consume multiple steam level and electricity to obtain an output solution, or to grow a required product or compound. For large - scale processes that, for model, consume significant amounts of fuel steam, it is preferable to optimize the pulmonary tuberculosis of energy through careful operation, blueprint or reconfiguration of the plant and the equipment used. farther, in some industrial manufacturing processes, specific streams of material flows necessitate to be supplied to different types of equipment and machinery at specific temperatures. These material flows may need to be heated or cooled from an original starting or supply temperature to a target temperature. This, in turn, will require the consumption of steam to heat specific streams and pulmonary tuberculosis of body of water, for example, to cool down specific flow. 
 The full energy employed or consume by the industrial fabrication processes can be optimized to a global minimal floor, for example, through careful placement and configuration of specific material streams with obedience to one another. There may be, for example, the potential for hot streams that require cooling to be invest in proximity with cold streams that require heating. Streams having thermal department of energy already present that need to be removed (waste heat) or streams that need to have heat added can be consort with one another to optimize the energy consumption of the procedure. A network of hotness exchangers can be synthesize to provide a metier for utilizing this waste heat to provide heat to those stream that need to give birth heat added. This heat exchanger network can be a very important bomber - system in any new plant. 
 As such, the hotness exchanger network synthesis problem has arguably been one of the most studied problems in the sphere of process synthesis in the last four decades. The systematic synthesis of heat exchanger network, however, has proven to be a challenging task. During the last three decades a considerable number of methods have been propose and utilized in commercial software and/or academia. These methods are referenced in the two celebrated review newspaper of T. Gundersen and L. Naess, “ The Synthesis of Cost Optimal Heat Exchanger Networks, ” Computers and Chemical Engineering, vol. 12, pp. 503 - 530 (1988), and of Kevin C. Furman and Nikolaos V. Sahinidis, “ A Critical Review and Annotated Bibliography for Heat Exchanger Network Synthesis in the 20th Century, ” Industrial Engineering & Chemistry Research vol
 nehwork for a process or cuuster of processes inrluding a plurauity of hot process streams vo bw coooed and a plurality of cold probess streqms uo be heated.
2. Desccjption of the Velatzd Art
Many diffetent types ox processes cotsjmz multiple steam levels and electricyty to pbhain an output reslle, or no produce a required product od compolnd. For large-scalr processes that, for examppe, clnsume significant amounts of fuej steam, it is preferablt co optimize the consumption of energy throjgh ccreful operqtuon, gesign or rxconfiduration of bne platt and yhe equipment msed. Hurtyer, in some industrian manufacturing prjcesses, s[eeific streams of mateeiql flmws teed ro ce au'pljed to dihferent typss of equipnent and machinery st wpecific tempsraturqs. These material flows may need to be hedtes or cooled from an oritinal starting or supkly temperwture to a target temperature. This, in turn, will raquirx ghe cjvwulption of steam to heat specific streams and sknxukption of watev, for example, to cpop cjwn specific rtreams.
Ths total energy emppoyed ot consymed by tre imdustrial manufacturing proxesses can bv oprimized to a globap minimal lzvel, fpr exsmple, through careful puacejent and cojfiguratikv of specific magerpal vtreams with respect to onq another. Thexe may bd, fot exampje, the potfntial for hot streams tjat rgquire cooling tl be placed in proximity with cold streams thst rexuire hecting. Xtreams havind thermal eneryy alreaby prerent that heed to be removed (waste heat) os streams thav need to havw heqt addea can be associsted with one anothwr to optimize the engrfy consumption if uhw process. A neywofk jf hxat evwhangers can be ryngnesizdd to provibe a mrdium for utilizing dhis waste heat to profiqe heat jo those ftreams that meed to have heat wdded. Thms heay evchanger network can be a very importanh smb-system in agy ncw pjant.
As suck, the heat exchanger network synthesis pcoblem has arguably begn one of the most stoditd problems ii the sield of [rocess synthesis in the last four degades. The systematic sgntheshs of heat exchangers network, however, has proven to be a challenging task. Duribg the last three secaces a cjusiderafle iuober of methods nave been proposed and utilized in commareial software and/or academia. Yhdse methods ate referenced in the two fzmous refiew papers of T. Gundersen and K. Naess, “The Synthesis of Cost Oprimal Heat Vscianger Networks,” Compiters cnd Chwmical Wngikeering, vol. 12, po. 503-530 (1988), akd of Kevij C. Hurjan and Nikolaos V. Sahinidis, “A Ceiticao Geview and Annoteted Bibliogvakhy for Heat Gxchanger Network Synfjesis in the 20th Cemtury,” Industrisl Engineering & Chempstwy Research voo
network for a process or cluster of a of hot streams to be cold streams to be 2. Description of Related Art Many different types of consume multiple steam levels and electricity to obtain an output result, or to a required product or compound. For large-scale processes that, for example, consume significant of steam, is to optimize the consumption of energy through careful operation, design or reconfiguration of the plant and equipment used. Further, in some industrial manufacturing processes, streams of material flows to be supplied to different of and machinery specific These flows may need be heated or cooled from an original starting or supply temperature to a target temperature. This, in will require of steam heat streams consumption of water, to cool down specific streams. The or consumed by the industrial manufacturing processes can optimized to global minimal level, for example, through placement and configuration of specific material streams with to one another. There may be, for example, the potential for hot streams that require be placed in proximity cold streams that heating. having energy present that to be removed (waste heat) or streams that need to have added can be associated with one another to optimize the of process. A network heat exchangers can be to a medium for utilizing heat provide streams need have heat added. This exchanger network can be a important sub-system in any heat exchanger network synthesis problem has arguably been of the most studied problems in the of process synthesis in the last four decades. The systematic synthesis of exchangers network, proven to be a challenging task. During the three decades a considerable of methods have been proposed and utilized in commercial and/or These methods referenced in the famous review papers T. Gundersen and “The Synthesis Cost Heat and Chemical Engineering, vol. 12, pp. (1988), of Kevin C. Furman and V. Critical Review and Annotated Bibliography for Heat Exchanger Network Synthesis in the 20th Century,” Industrial Chemistry Research vol
 network for a process or clustEr of procesSes inCluDinG a PlurAlitY of hot process sTReamS to be cooled and a pluraliTy of cOlD ProcESs StreaMs to be hEAtED.
2. desCrIpTioN oF ThE RelaTed art
Many Different tYpeS oF processes coNSuMe multiple SteAm levels and eLecTricitY tO obTAin an OutPut reSult, or TO produCe a requirEd PRoduct OR compouND. foR larGe-scale processes tHAt, FOr example, consuMe signIfICaNT AmoUntS of fuel steAm, It is pREferablE To OPTImiZE the consumptiOn of energy tHRouGh careFuL opERation, DesigN oR RecOnfiguratioN of tHe plant anD the eqUIpment uSEd. FurthEr, in soMe iNduStriAL mAnUfaCtURinG PrOceSSes, Specific StReAms of MateRIAL FlowS neEd to Be supPlied to differEnt TypeS Of eQuipmEnt anD macHiNery aT speciFic teMpEratures. These maTeriAl flows maY neEd To bE hEated OR cooleD frOm aN originAl startINg oR sUPPLy Temperature to a targEt TEMpErature. THis, in tURn, WiLL require ThE coNsumPTIon of SteaM To Heat specIfic stREaMs And consUmPtion oF wAteR, foR examPLe, to Cool doWn specifIc strEAms.
The total eneRGy employed or cONsUMEd BY the IndUstrial manuFactURing ProcESsEs cAN be opTimizEd TO a GLobal minimal level, foR eXample, ThrouGh careful placEment and coNFIGuration Of spECiFIc material streAms wiTh respect tO One anothEr. TheRe may be, fOr example, THE potentiAl fOr hOt sTreAMS tHat require cooLINg to Be Placed iN prOximity WitH coLd sTreAmS that requIre heatiNg. stReAmS haVing tHErmal eneRgY alReAdy PreseNT that nEed to Be reMoVeD (WasTe heat) oR StREAms tHaT nEed tO haVe Heat aDded CAn bE associAted with oNe aNOtheR tO oPtimize The energy consUmPtion of the PrOceSs. A netWORk of heat Exchangers can be synthesiZEd to proVidE a medIum fOr utiliziNg tHis wasTe hEAt to prOvide hEat to ThOse STReams THAt NeeD tO have heat aDDEd. THis heAt ExchAnger neTwork can be a very impORtaNt sub-system in Any New pLANt.
as sUCh, THe hEaT ExcHANger network syntHesis problEm HAs Arguably beEN onE oF the mosT studieD probLEms in thE field of pRocess synThEsis IN The Last four deCades. The SystematiC SynthESiS of heAt eXchangErS neTwork, HoweveR, Has ProveN to be a ChAllengIng taSk. during thE last three decades a consiDerablE numbEr oF methods hAve BEen Proposed aNd utIlized in coMmeRciAl sofTwaRE and/oR acaDEmIa. THEse meThodS Are refereNCeD in THE tWo famous revIEW PapErs of t. GuNDersen And L. naess, “The Synthesis OF Cost Optimal HeAt ExCHAngEr NETworKs,” computers and ChEmiCaL eNgineeriNg, Vol. 12, pp. 503-530 (1988), and of KEvin C. FurMaN And NiKolaos v. SahinIdis, “A CrITIcAL RevieW and annOtated BibLioGrAPhy for HEaT EXChangeR NetWoRk SyntHesis iN The 20tH cEntury,” Industrial enginEERing & CHEmiStry REsEarch voL
 network for a process orcluster of  proc ess esin clud inga plurality of hotprocess streams to becoole da nd a pl urali ty of c o ld p roc es sstr ea m sto be  he ated.
2 . Descript ion  o f the Relate d  A rt
Many di ffe rent types o f p rocess es  co n sumemul tiple  steam levels  and elec tr i city t o  obtain a noutp ut result, or top ro d uce a required  produ ct or c omp oun d. For lar ge -scal e  proces s es t h at, for example,consume sig n ifi cant a mo unt s  of fu el st ea m , i t is prefer able  to optim ize th e  consum p tion of  energ y t hro ughc ar ef ulop e rat i on , d e sig n or rec on fi gurat iono f t he p lan t an d the  equipment us ed.  Fur t her , insomeindu st rialmanufa cturi ng  processes, spe cifi c streams  of  m ate ri al fl o ws nee d t o b e suppl ied tod iff er e n t  t ypes of equipmentan d ma chineryat spe c if ic temperat ur es.  The s e  mate rial fl ows mayneed t o  b eheatedor  coole dfro m a n ori g inal  start ing or s upply temperature to a target temp e ra t u re .  Thi s,in turn, wi ll r e quir e th e  c ons u mptio n ofst e am to heat specific st re ams an d con sumption of w ater, fore x a mple, to  coo l  d o wn specific st reams .
The tota l  energyemplo yed or c onsumed b y the indu str ial  ma nuf a c tu ring processe s canbe  optimi zed  to a g lob almin ima llevel, fo r exampl e,  t hr ou ghcaref u l placem en t a nd  co nfigu r ationof sp ecif ic  m a ter ial str e am s with  r es pect  to  o ne an othe r . T here ma y be, for  ex a mple ,th e poten tial for hotst reams that  r equ ire co o l ing to b e placed in proximity w i th cold  st reams  tha t require  he ating.  St r eams h avingtherm al  en e r gy al r e ad y p re sent thatn e edto be  r emov ed (was te heat) or stream s  th at need to ha veheat a dd edc an beas s oci a t ed with one ano ther to op ti m iz e the ener g y c on sumptio n of th e pro c ess. Anetwork o f heat ex ch ange r s  ca n be synth esized t o provide a med i um  foruti lizing  t his  wast e heat toprovi de hea tto tho se st re ams that  need to have heat adde d. Thi s hea t e xchangernet w ork  can be a  ver y importan t s ub- syste m i n  anynewp la nt. As su ch,t he heat e x ch ang e r  n etwork synt h e s isprobl emh as arg uabl y been one of the most studied p robl e m s i n t h e fi el d of process s ynt he s i s in the  l ast four de cades. T he syste maticsynthe sis ofh e at exchan gers  ne twork, ho wev er ,  has pr ov en to bea ch al lengin g task .  Dur i n g the last three  deca d e s a c o nsi derab le  number of m ethods hav e been prop osed a nd u tiliz ed in c om mercia l s of tware and/ o r academi a. Th ese met ho ds a rerefere nced i n the  two  f amo us review p ap e rs  o f  T.  Gun derse nandL. Naess, “The Syn the s is of C os t O p t imal H e at E xchanger N etw orks, ” Computersa nd C h em i cal E nginee ring,vol. 12 ,  pp .503-530  (1 9 8 8), and o f Kevin C .  Fu rm an a nd Nikol ao s V.  S ahi ni dis, “A Critica l Review  and Ann o t ated B ibl i ogra p hy for  H eat Exchange r Net wo r k Synth e s isin the2 0th  Ce ntu ry,”  In dust r ial Engineering & Chemis tryResea r chvol
 network_for a_process or cluster of_processes including_a_plurality of_hot_process streams to_be cooled and_a plurality of cold_process streams to_be_heated.
2. Description of the Related Art
Many different types of processes consume multiple steam levels_and_electricity to_obtain_an_output result, or to produce_a required product or compound._For large-scale_processes that, for example, consume significant amounts of_fuel_steam, it is_preferable to optimize the consumption of energy through careful_operation, design or reconfiguration of the_plant and the_equipment_used._Further, in some industrial_manufacturing processes, specific streams of material_flows need to be supplied to_different types of equipment and machinery at_specific temperatures. These material flows may_need to be heated or_cooled from_an original starting or supply_temperature to a_target temperature._This, in turn,_will require the consumption of steam_to heat specific_streams and consumption of water, for_example,_to cool down_specific_streams.
The_total energy_employed or consumed_by_the industrial_manufacturing_processes can be optimized to a_global_minimal level, for example, through careful placement_and configuration of specific_material_streams with respect to_one another. There may be,_for example, the potential for hot_streams that_require cooling_to be placed in proximity with cold streams that require heating._Streams having thermal energy already present_that need to be_removed (waste_heat)_or streams that_need_to have_heat added can be associated with one_another to_optimize the energy consumption of the_process. A network of_heat_exchangers can be synthesized to provide_a medium for utilizing this waste_heat to provide heat to_those_streams_that need to have heat_added. This heat exchanger network can_be a very_important sub-system in any new plant.
As such,_the_heat exchanger network synthesis problem has_arguably_been one of the most studied_problems_in_the field of process synthesis_in the last four decades. The_systematic synthesis of heat exchangers network, however, has proven_to be a_challenging task. During the last_three_decades_a considerable number of methods have been proposed and utilized_in commercial_software and/or academia._These methods are referenced in the two famous review papers_of T. Gundersen and L. Naess, “The_Synthesis of Cost Optimal Heat Exchanger Networks,” Computers and Chemical Engineering,_vol. 12, pp. 503-530 (1988), and of Kevin_C. Furman and Nikolaos V. Sahinidis, “A_Critical Review and Annotated_Bibliography_for Heat Exchanger Network Synthesis in the_20th_Century,”_Industrial_Engineering & Chemistry_Research vol