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Modeling Simulation Class_Exam2006_1


1. ‹œ—˜ ž

2006. 10. 20. PM6:00

2. ž‘„ž

•ˆ˜, ๋ฐ•˜ฐฝ

3. ‹œ—˜ ๋‚ดšฉ

1. Single Queue, Single Server ๋ฌธ œ (10 points)
(a) (5 points) Šคผ€ฅด ‘œ ฃผ ..(ด๋ฒˆ—๋Š” Single Queue, Single Server) ‹œ๋ฎฌ๋ ˆ…˜—„œ ‚ฌšฉ๋˜๋Š” ƒƒœ™€ ด๋ฒคŠธ— ๋Œ€•“ฐ‹œ˜ค.
(b) (5 points) FEL ž‘„•˜‹œ˜ค.

2. (10 points)
šด „ ๋ฉด—ˆ ‹œ—˜„ ๋ณธ๋‹ค. šด „ ๋ฉด—ˆ ‹œ—˜€  2๋‹„๋กœ ตฌ๋ถ„๋˜–ด ˜๋Ÿฌ„‹ค.
Step 1) •„ธฐ ‹œ—˜. AM9, PM1 ‹œ ฒฝ— ด๋ฃจ–ดง€๋ฉฐ, ‹œ—˜‹œ„€ 50๋ถ„ ‰ฐ€ ‹œ„„ 10๋ถ„ ฐ–๋Š”๋‹ค. •œ๋ฒˆ˜ ‹œ—˜— œ๋Œ€ ‘‹œ›€ 50๋ช…ด๋ฉฐ, •ฒฉ๋ฅ € 80%ด๋‹ค.
Step 2) ‹ธฐ ‹œ—˜. •„ธฐ ‹œ—˜ •ฒฉž— •œ•„œ ˜๋ฃจฒŒ ๋œ‹ค. ‹œ—˜€ ฐจ 2๋Œ€๋ฅผ ฐ€ง€  ด๋ฃจ–ดง€๋ฉฐ, ‹œ—˜„ ค€๋น„•˜๋Š”๋ฐ 1๋ถ„˜ ‹œ„†Œš”๋˜๋ฉฐ, ๋ณด†ต 6๋ถ„ ฐ€๋Ÿ‰˜ ‹œ„†Œš”๋œ‹ค. ๋‹จ, ‹œ—˜ ๋„‘— ฒฐฒฉ ‚ฌœ ฐ€ ๋ฐœฒฌ๋ ‹œ 6๋ถ„•ˆ๋˜–ด๋„ ‹œ—˜ข…๋ฃŒ๋˜ฒŒ ๋œ‹ค.
•ด๋‹šด „๋ฉด—ˆ ‹œ—˜€  „ฒด ณผ •PM5‹œ— ข…๋ฃŒ๋œ‹ค.
(a) •ด๋‹น ๋ชจ๋ธ„ ตฌ„•˜  •„𔕠 ฒฝšฐ ฐ€ •„ •ด๋„ ‹‹ค. (7 points)
(b) ตฌ„ฑ๋œ ๋ชจ๋ธ•ˆ • ง€ ๋ช…™••œ œ ๋ฅผ ๋Œ€  „ค๋ช…•˜ผ. (3 points)

3. Triangular Distribution ธ๋ž˜”„ ฃผ 
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 ตฌ•˜ธฐ - ธ๋ž˜”„˜ ฐ€žฅ ๋†’€ ง€ ˜ ๋†’ด๋ฅผ ตฌ•˜ผ๋Š” ๋ฌธ œ๋กœ ŒŒ•…–ˆŒ. pdf  „ฒด˜„“ฐ€ 1ด๋ผ๋Š” ‚ฌ‹„ šฉ•˜๋Š” ๋ฌธ œ
(b) (5 points) Expectation ตฌ•˜ธฐ - („‚ฐต‰žฅžˆ ง€ €๋ถ„•จ. †Œˆ˜  ๋‚œ๋ฌด)

4. (Extra)
(a) (5 points) Arena— ๋‚˜˜ค๋Š” 4ฐ€ง€ ƒ€ž…˜ ๋ชจ๋ธ „ค๋ช…
(b) (5 points) Continuous Probability Function—„œ X = x0 ผ๋•Œ˜ ™•๋ฅ ™œ 0ฐ€? Discrete Probability Function—„œ˜ X = x0ผ๋•Œ™€ ๋น„ต•˜‹œ˜ค.

4. ‹

2.
1) ๋‚˜˜ ฒฝšฐ •ด๋‹น ๋ฌธ œ๋ฅผ „‹•œ ™•๋ฅ  ๋ชจ๋ธ + Single Queue, Multi Server ˜ ๋ฌธ œ๋กœ ŒŒ•…–ˆ๋‹ค. ™•๋ฅ ๋ชจ๋ธ€ 1ฐจ •ฒฉž๋ฅผ ฐ€๋ฆฌ๋Š”๋ฐ “ฐ , SQMS๋ชจ๋ธ€ ‹ธฐ ‹œ—˜„ ฐ€๋ฆฌ๋Š”๋ฐ ‚ฌšฉ•˜ , ฐ€ •œผ๋กœ ‹ธฐ ‹œ—˜€ 7๋ถ„„ œ   œผ๋กœฐ–๋Š” Triangle Distribution ด๋  ฐ€ ••˜  ’€–ˆŒ.
2) ๋ถ€กฑ•œ ‹œ„, ๋žœ๋ค•ˆ˜๋ฅผ ‚ฌšฉ•  ˆ˜ —†๋Š” ƒ™ฉด๋ผ๋Š”  „ ๋ง•˜ , TD ˜ ธฐ๋Œ€˜๋ฅผ ตฌ–ˆ๋‹ค. ๋Œ€ถฉ ตฌ•ด๋ณด๋‹ˆ 7.55 ๋ถ„ฐ€๋Ÿ‰†Œš”๋œ‹ค๋Š” ‚ฌ‹„ •Œ•˜‹ค. (ขŒšฐ ๋Œ€นญ˜•œผ๋กœ ฐ€ •–ˆธฐ ๋•Œ๋ฌธ—... -_-) ๋”ฐ๋„œ •œ Œจฑฐ๋ฆฌ˜ ‹ธฐ ‹œ—˜•ฒฉž˜ œ๋Œ€ ›€ 40๋ช… †Œš”๋˜๋Š” ‹œ„€  5‹œ„ง€๋งŒ SQMS ๋ชจ๋ธž‰—„œ œ๋Œ€˜ šจœ„ ๋ฐœœ˜ •  ˆ˜ žˆœผ๋ฏ€๋กœ, –‘ชฝ˜ „œ๋ฒ„— ๋ฐ˜”ฉ„ ๋‚˜๋ˆ„–ด„œ ‹œ—˜„ ๋ณด๋ฉด 2‹œ„ ๋ฐ˜ฐ€๋Ÿ‰•„š”•˜‹  Œ๋‹จ. •„ธฐฐ€ ข…๋ฃŒ๋˜๋Š” ‹œ„€ 10:00 + 2:30. 14:00 + 2:30 ๋”ฐ๋„œ‹˜ ‹œ—˜™„ „žˆ ข…๋ฃŒ๋˜๋Š” 17:00 ๋ถ„ •ˆ— ‹œ—˜„ ๋๋‚ผ ˆ˜ žˆธฐ ๋•Œ๋ฌธ— •ด๋‹น ๋ชจ๋ธ€ •ˆ ••˜‹   ธด —ˆ๋‹ค. -_-;;
‹จ ๋ฌธ œ๋Š” „œ๋ฒ„ ˜๋ฆฌ ‹œ„Žธฐจฐ€ ๋ถ„๋ช…žˆ ด…๋ฐ ด๋ฅผ   ค๋ชป•„œ ข€ •ˆŠตธ๋‹ต. †”งžˆ ๋‚˜๋„ 3๋ฒˆ „‚ฐ•˜‹ฐ€ ‹œ„„‹ค ๋ณด๋‚ด„œ -_-;; - ๋ฐ•˜ฐฝ

5. ๋ง๋ง

3๋ฒˆ ‘ธ๋А๋•œ‹œ„€ ๋ณด๋‚ธฑฐ ฐ™๋‹ค. ๋‹ˆ๋ฏธ๋Ÿด-_-; --ˆ˜
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