Homework_3_From_Chapter_14

Homework_3_From_Chapter_14 - lhndnm Fin-lbw: I .05 HHE 2...

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Unformatted text preview: lhndnm Fin-lbw: I .05 HHE 2 -15 Inn—:5 3 -45 lib—45 4 -15 iii—1'5 5 - fl III] M. {II Time Between Cumulative :- lCalls C leek fifi 4 4 7'1 4 3 ED 3 I 1 I5 2 I3 43 4 I T .35" 5 32 13 3 25 E3 5 3t] {F3 2 3E IEll] 5 3'? {IS 1 3E 39 5 43 IE 3 415 DE 2 43 It}: 3 SI 4? 4 35 '94 5 an DIS 2 {:3 TI 4 fifi 4t} 3- ti? I32 4 T3 h} ILL = = 3.43 hr between calls; EV = 1I[.l]5} + a[.1a}+ 311.3(1) + 4133(1) + 5L3”) + away = 3.135. The reaulla are different because there 1were net eneugh aimulatlena te enable the almulated average In amt-mach the analytieal reaull. 11 calls; nu, this is net the average number at ealla per 3 days. In ertler tun determine thia average. this simula- tien weuttl have he be repeated a number ef times in larder Ie get emugh ebaewatiena ef ealla j'ter 3-day pe- rieI-tl tr.- enmpute an average- 2+ Time Betwem Arrlvals [nfln] 1 2 3 4 Arrival :- 1 39 2 T3 3 1'2 4 1'5 5 3? IE: DZ T H? E 93 '9 lIIIII ii} 47 11 93 12 21 13 95 14 in"? 15 159 lfi 41 1'? '91 13 Hi} [53 :5? III] 59 Cumulative Probability .15 .45 .35 100 Time Between Ari-fills [min] Ln WIWUHLHHLLHLHHLhHHMHMH p. - SSIEID - 2.9 min lJEWEEfl arrivals Randal“ Numhers fll—IS 16—15 Efi—99,flfl b] Time Between Cumuhtive r Arrlvale CHI-fl: 55 3 3 T1 3 15 2|] 2 H l? 2 ll] 43 3 13 3'9 4 11" Hf 2 19 33 3 2.2 US 1 2.3 PE] 4 If [)5 1 ER 39 4 32 13 E 34 {13 1 35 26 2 3'! 4'? 3 4E! 94 4 44 1315 1 #5 TE. 3 43 4f] 2 SI] 52. 3 53 4? 3 56 ES 3 5'9 fit] 3 I52 .tt- -" filflfil = 2.53 min between arrival: at The reetrlte are different because ef the few eimulatiene mmhined with the different madam number streemrt. If there were eneugh efrnulatiene. the different render]: numbers wnultl have little ur m:- effeet. Machine Hui-Indians! Cumulative Rantinm “HI: Pruhflhil'jty NIIIIIIJ-ETE B .11] [Ill—ID 1 .21] 11—31] 2 .41] 11—41] 3 .65 41—65 4 .95 66—95 5 MI] Qfi—EJ‘E'. [I] m Week :- Breakflmms 1 2G 1 2 31 1 3 98 5 4 E4 2 5 III [II E: Sfi 3 1' 48 3 3 [II] 5 'El 53 3 ll] 2? 2 11 1'4 4 12 '15 4 13 1'9 4 14 ‘1'? 4 15 4S 3 115 H] 4 1T '92 4 13 43 3 19 I54 3 EU flfi _l] 59 I): p. = 59,321] = 2.95 hreakdnwnfi per 'W'EEI-i fl. One-Teller 53-min: Customer MDDGH-JG-M-LL'LHMH ll] 12 13 l4 1''1 '23 25 02 98 4? 2i 9‘? 41 31 59 TB 42' 22 Arrival Interval MMHNMMhMNh—MHI Arrival Clock Enter Faeilitj Cluck Nutiec that slalisties are misleading since the values keep increasing. In other wards, a slesudir state has not been reached; thus. it is diffiCull to draw inferences. Time-teller systm'n: Customer U'thH it 12 15 "1 7‘5 11] 93 4i 3? 56 15 1‘3 132 95 El] 59‘ 16 93 Arrival Inmrval Hummewm| Arrival Interval hHI—eMWLI—eh} Arrival Clock EEEESoeI Arrival Clock 2 5 14 19 2i 2? 23 33 Enter Facility Clock ESE-eel 2? 31! Enter Facility Cluck 2 3" 14 19 23 23 3|] 33 Length “biting of Queue Time at Entry 1 L} 4 IIII E! l 2 1 E l 12 2 I4 2 IE: 2 l9 3 21 4 23 at 26 5 i 5 y. = 13.1 M. = 2.2 Length Waiting of Time Queue 1] D l I] l] D [I I] [l D l I) I 9 p. = 4- [1 Length Waiting of Time Queue ll (1 2 U [I t] [l U 4 fl 1 U 2 fl '3 E p. = 1.1 CI 39 T2 3? 3? ll] 93 95 6‘31 91 fr? 3? 56 19 39 37' 4? 21 9] 4? 19 58 "1'2 93 (:9 if)? '18 [13 23 23 Service Service Time hummmmmw Servlre Time MMNLhfi-fi-G‘KLH 11 16 1‘) 25 31 35 41 45 49 54 58 (1] Departure Time Ill 13 23" Time In. = 1115 Time in System hemmmhmm 1: || 'Lnl be Time in System 1; lmquahmm Ln Ties. fn-r queufi length: Lint! Rand'nm Mama.“ I Ill—49 2 511-99 Emmi-MI“ r3 4 H? 7' 91" 1E] I53 12 22 13 T3 23 I51 [t app-cars thal tht wen—taller system i5. mnsl aHJmpriatc; humr, m lradeflff analysis haw-rem the. cast at thc Extra faciiiiy and ll'H: cast [if Eustflmem waiting and pun-55i— hly having is nmty. [5+ _— _— Custmnfl'sf Randmu Raminm Day Humbfls flurullfln Numbers 1] {LII—Ell 1 [Ill—ll] 1 21—41] I Il—-5|J|3I 2 fill—HI] 3 til—El] 3 fill—9'9, III 4 Ell—'31} 5 91—99, [H] Cuetemere Available Duratittm' Car Deny Net flay Eire n Custemers r1 Car Mallable Served 1 52 2 [‘3 E 3 en 3 4 2 E 4.3 2 2'." 3 4 43 3 5 3 1 9e 3 EU I 5 E 11. 2 3+5 2 '32 5 ‘3 21 2 f: ’5 2 BIS 2 EH 5 1t] 45 3 3 n l 29' ] 4-9 3 '3 '3' {J 39 E — — —- 2 :H l 22 ] fifi 3 ll 9 2 GB tlI — — — Ill 3 I52 2 I19 1 1] El 4 14 Prnhahjlity elf net having a car available = euetnrnere net servedflntel euetemere = 4,3]? = -235; einee elmeet ere-e ef euetemere are net served, enpeneiun WUUM prehe- hly be warranted. A simulatinn mntie] at this system nee- teaser}.r In melee e eeeleien wnuid need tn periter this simulatien fer a number ef different fleet sizes {in addi— tien m the Inur cent need in this experiment}- The eimule— tien ehflultl else include the daily enet ef the eat It] the rental agency and the dell}r rental price plue same esti— mete ef lest current and pnlentiel sales when it euetemer ie turned away. The fleet ejze eeleetetl mule be the ene that maximized average daily prefit. ...
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This note was uploaded on 06/17/2010 for the course MAT 540 taught by Professor Azad during the Spring '10 term at Strayer.

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Homework_3_From_Chapter_14 - lhndnm Fin-lbw: I .05 HHE 2...

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