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Modeling Simulation Class_Exam2006_1


1. ‹œํ—˜ ž

2006. 10. 20. PM6:00

2. ž‘„ž

ฐ•ธˆ˜, ฐ•˜ฐฝ

3. ‹œํ—˜ ‚ดšฉ

1. Single Queue, Single Server ฌธ œ (10 points)
(a) (5 points) Šค€ฅด ํ‘œ ณ ..(ดฒˆ—Š” Single Queue, Single Server) ด ‹œฎฌ ˆด…˜—„œ ‚ฌšฉ˜Š” ƒํƒœ™€ ดฒคํŠธ— Œ€ํ•ด “ฐ‹œ˜ค.
(b) (5 points) FEL ž‘„ํ•˜‹œ˜ค.

2. (10 points)
šด „ ฉดํ—ˆ ‹œํ—˜„ ณธ‹ค. šด „ ฉดํ—ˆ ‹œํ—˜€ ด 2‹จ„กœ ตฌ„˜–ด ˜Ÿฌ„‹ค.
Step 1) ํ•„ธฐ ‹œํ—˜. AM9, PM1 ‹œ ฒฝ— ดฃจ–ด€ฉฐ, ‹œํ—˜‹œ„€ 50„ ํ‰€ ‹œ„„ 10„ ฐ–Š”‹ค. ํ•œฒˆ˜ ‹œํ—˜— ตœŒ€ ‘‹œธ›€ 50ช…ดฉฐ, ํ•ฉฒฉฅ € 80%ด‹ค.
Step 2) ‹คธฐ ‹œํ—˜. ํ•„ธฐ ‹œํ—˜ ํ•ฉฒฉž— ํ•œํ•ด„œ ˜ฃจฒŒ œ‹ค. ‹œํ—˜€ ฐจ 2Œ€ €€ณ  ดฃจ–ด€ฉฐ, ‹œํ—˜„ €„ํ•˜Š”ฐ 1„˜ ‹œ„ด †Œš”˜ฉฐ, ณดํ†ต 6„ €Ÿ‰˜ ‹œ„ด †Œš”œ‹ค. ‹จ, ‹œํ—˜ „ค‘— ฒฐฒฉ ‚ฌœ € ฐœฒฌ ‹œ 6„ด •ˆ˜–ด„ ‹œํ—˜ด ข…ฃŒ˜ฒŒ œ‹ค.
ํ•ด‹ šด „ฉดํ—ˆ ‹œํ—˜€  „ฒด  •ด PM5‹œ— ข…ฃŒœ‹ค.
(a) ํ•ด‹ ชจธ„ ตฌ„ํ•˜ณ  ํ•„š”ํ•  ฒฝšฐ € •„ ํ•ด„ ข‹‹ค. (7 points)
(b) ตฌ„œ ชจธด •ˆ • ธ€ ช…ํ™•ํ•œ ดœ  Œ€ณ  „ช…ํ•˜. (3 points)

3. Triangular Distribution ทธž˜ํ”„ ณ 
y = a(x-30) ( 30 < x < 90) y = b(x-110) (90< x < 110) ํ˜•ํƒœ์˜ ๊ทธ๋ž˜ํ”„๋กœ 90 ์ง€์ ์—์„œ ๊ต์ฐจํ•˜๋Š” ๊ทธ๋ž˜ํ”„์ž„
(a) (5 points) Peak Value ตฌํ•˜ธฐ - ทธž˜ํ”„˜ €žฅ †’€ € ˜ †’ด ตฌํ•˜Š” ฌธ œกœ ํŒŒ•…ํ–ˆŒ. pdf  „ฒด˜ „“ด€ 1ดŠ” ‚ฌ‹ค„ ดšฉํ•˜Š” ฌธ œ
(b) (5 points) Expectation ตฌํ•˜ธฐ - („‚ฐด ต‰žฅํžˆ € €„ํ•จ. †Œˆ˜  ‚œฌด)

4. (Extra)
(a) (5 points) Arena— ‚˜˜คŠ” 4€€ ํƒ€ž…˜ ชจธ „ช…
(b) (5 points) Continuous Probability Function—„œ X = x0 •Œ˜ ํ™•ฅ ด ™œ 0ธ€? Discrete Probability Function—„œ˜ X = x0•Œ™€ „ตํ•˜‹œ˜ค.

4. ‹ต

2.
1) ‚˜˜ ฒฝšฐ ํ•ด‹ ฌธ œ „‹จํ•œ ํ™•ฅ  ชจธ + Single Queue, Multi Server ˜ ฌธ œกœ ํŒŒ•…ํ–ˆ‹ค. ํ™•ฅ ชจธ€ 1ฐจ ํ•ฉฒฉž €ฆฌŠ”ฐ “ฐดณ , SQMSชจธ€ ‹คธฐ ‹œํ—˜„ €ฆฌŠ”ฐ ‚ฌšฉํ•˜ณ , € •œกœ ‹คธฐ ‹œํ—˜€ 7„„ ตœณ   œกœฐ–Š” Triangle Distribution ดณ  € •ํ•˜ณ  ํ’€ดํ–ˆŒ.
2) €ํ•œ ‹œ„, žœคํ•จˆ˜ ‚ฌšฉํ•  ˆ˜ —†Š” ƒํ™ฉดŠ”  „ งํ•˜ณ , TD ˜ ธฐŒ€˜ ตฌํ–ˆ‹ค. Œ€ถฉ ตฌํ•ดณด‹ˆ 7.55 „€Ÿ‰ด †Œš”œ‹คŠ” ‚ฌ‹ค„ •Œ•˜‹ค. (ขŒšฐ Œ€ญํ˜•œกœ € •ํ–ˆธฐ •Œฌธ—... -_-) ”ฐ„œ ํ•œ ํŒจฆฌ˜ ‹คธฐ ‹œํ—˜ํ•ฉฒฉž˜ ตœŒ€ ธ›€ 40ช… †Œš”˜Š” ‹œ„€ ด 5‹œ„ด€งŒ SQMS ชจธด ํž‰—„œ ตœŒ€˜ ํšจœจ„ ฐœํœ˜ ํ•  ˆ˜ žˆœ€กœ, –‘ชฝ˜ „œ„— ฐ˜”ฉ„ ‚˜ˆ„–ด„œ ‹œํ—˜„ ณดฉด 2‹œ„ ฐ˜€Ÿ‰ด ํ•„š”ํ•˜‹คณ  ํŒ‹จ. ํ•„ธฐ€ ข…ฃŒ˜Š” ‹œ„€ 10:00 + 2:30. 14:00 + 2:30 ”ฐ„œ ‹˜ ‹œํ—˜ด ™„ „ํžˆ ข…ฃŒ˜Š” 17:00 „ •ˆ— ‹œํ—˜„ ‚ ˆ˜ žˆธฐ •Œฌธ— ํ•ด‹ ชจธ€ •ˆ •ํ•˜‹คณ   ธด —ˆ‹ค. -_-;;
‹จ ฌธ œŠ” „œ„ ฒ˜ฆฌ ‹œ„ด ํŽธฐจ€ „ช…ํžˆ ํดํ…ฐ ด ณ  คชปํ•ด„œ € •ˆŠตธ‹ต. †”งํžˆ ‚˜„ 3ฒˆ „‚ฐํ•˜‹ค€ ‹œ„„ ‹ค ณด‚ด„œ -_-;; - ฐ•˜ฐฝ

5. งง

3ฒˆ ํ‘ธŠ ํ•œ‹œ„€ ณด‚ธฐ™‹ค. ‹ˆŸด-_-; --ธˆ˜
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