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hw5_solution - 9.1...

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Unformatted text preview: 9.1. Hmmmmmmtmmmummmmmmmmmm replicauonsarcmdapmmm. Thisismmakssflmwlputrmflomwfiablesfordimmuflom imiependmt. L3 . No. The prodncfim In flu: first and Ian houn crawl: shift will always be difficult. 9.4. Hamisinlhemmatdwendofadaya shifts) oranheeIflc-fa week (5 days}. its time in system 1will nothecmnpumdcmfllywifilhiuppmch. 9.6. 'I'hslhmnghpulfonhzfll'fllhnurofaachalrflfl willbaunallorrawfllmofhuw long masimulationls run. 9.9. Let ‘_ 1 iijes 3'3- 0 mm: for}: 1,2. ...,n. mmn’smflDmdumvafiableswimflfi) =p,and Foo-Sh: -_i':. Let 520!) be mempkvadmceorthe 13's. Mappmfimte luxlhajpuwmconfidmcainmrvalprisgivmby 1"th t ‘n-lJ-alzlJ-SQW) n n — 2 2 Y- — You) 53(5):}.1 J ] n no: — 1) II B zigz—zfizn-nfiz =1- {-1 rum—l) Furthermore, 9.1a. im53- X(5}Il.?fl.wl1lch is less lhan fun} =10}. 9.11. IntSbehermdmnvaflnflccompmdingmMmmberofwflmmentfifinnflm 11(1),“)- EH01 Sx]S=::IP{S=s) 5:0 =.P(Dl Sx|S-fl}[l—p]+ Elfin Sr. |S=::)[l—p}p‘ = (111 'P] +{1 -p}[ i [I -e—°" H flflp’ 3-1 1'0 j! —[l 9}”? p)|:1_p “Ea II S=§fl .(1—p)+(1-p}[1—§3ll—e‘mja{p:}’]} = [l —p} +p[l — rampart] - [1 -P)+p[I-e‘(”‘“"l which is the distribution fimfinn ofiha steady-state delay-Equal: disu'ibutinn. Thus. H01) = 0(1 —p} +nl'(w—1)= paw—.1.) 9.11. mm-mmumglpm shmfldbcmsincaflnarrivalmisfiflperlnm. 9.12. No.'Ihedisuibulionnfthefimsmflnmxlmivalwiflbediflaemfcrwccafivecummmwhodwmufl leawexmlylcummmbehind. Mindbeswmbewnnfionpoimsifthcinmaltimm ammmndom'miables. ...
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