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Modeling Simulation Class_Exam2006_1


1. ‹œ—˜ ผž

2006. 10. 20. PM6:00

2. ž‘„ž

๊ฐ•ธˆ˜, ๋ฐ•˜ฐฝ

3. ‹œ—˜ ๋‚ดšฉ

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

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

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

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

4. ๋‹ต

2.
1) ๋‚˜˜ ๊ฒฝšฐ •ด๋‹น ๋ฌธ œ๋ฅผ ๊ฐ„๋‹จ•œ ™•๋ฅ  ๋ชจ๋ธ + Single Queue, Multi Server ˜ ๋ฌธ œ๋กœ ŒŒ•…–ˆ๋‹ค. ™•๋ฅ ๋ชจ๋ธ€ 1ฐจ •ฉ๊ฒฉž๋ฅผ ๊ฐ€๋ฆฌ๋Š”๋ฐ “ฐด๊ณ , SQMS๋ชจ๋ธ€ ‹ค๊ธฐ ‹œ—˜„ ๊ฐ€๋ฆฌ๋Š”๋ฐ ‚ฌšฉ•˜๊ณ , ๊ฐ€ •œผ๋กœ ‹ค๊ธฐ ‹œ—˜€ 7๋ถ„„ ตœ๊ณ   œผ๋กœ๊ฐ–๋Š” Triangle Distribution ด๋ผ๊ณ  ๊ฐ€ ••˜๊ณ  ’€ด–ˆŒ.
2) ๋ถ€•œ ‹œ๊ฐ„, ๋žœ๋ค•จˆ˜๋ฅผ ‚ฌšฉ•  ˆ˜ —†๋Š” ƒ™ฉด๋ผ๋Š”  „ ๋ง•˜๊ณ , TD ˜ ๊ธฐ๋Œ€น˜๋ฅผ ๊ตฌ–ˆ๋‹ค. ๋Œ€ถฉ ๊ตฌ•ด๋ณด๋‹ˆ 7.55 ๋ถ„๊ฐ€๋Ÿ‰ด †Œš”๋œ๋‹ค๋Š” ‚ฌ‹ค„ •Œ•˜๋‹ค. (ขŒšฐ ๋Œ€นญ˜•œผ๋กœ ๊ฐ€ •–ˆ๊ธฐ ๋•Œ๋ฌธ—... -_-) ๋”ฐ๋ผ„œ •œ Œจ๊ฐ๋ฆฌ˜ ‹ค๊ธฐ ‹œ—˜•ฉ๊ฒฉž˜ ตœ๋Œ€ ธ›€ 40๋ช… †Œš”๋˜๋Š” ‹œ๊ฐ„€ ด 5‹œ๊ฐ„ดง€๋งŒ SQMS ๋ชจ๋ธด ž‰—„œ ตœ๋Œ€˜ šจœจ„ ๋ฐœœ˜ •  ˆ˜ žˆœผ๋ฏ€๋กœ, –‘ชฝ˜ „œ๋ฒ„— ๋ฐ˜”ฉ„ ๋‚˜๋ˆ„–ด„œ ‹œ—˜„ ๋ณด๋ฉด 2‹œ๊ฐ„ ๋ฐ˜๊ฐ€๋Ÿ‰ด •„š”•˜๋‹ค๊ณ  Œ๋‹จ. •„๊ธฐ๊ฐ€ ข…๋ฃŒ๋˜๋Š” ‹œ๊ฐ„€ 10:00 + 2:30. 14:00 + 2:30 ๋”ฐ๋ผ„œ ๋‹นผ˜ ‹œ—˜ด ™„ „žˆ ข…๋ฃŒ๋˜๋Š” 17:00 ๋ถ„ •ˆ— ‹œ—˜„ ๋๋‚ผ ˆ˜ žˆ๊ธฐ ๋•Œ๋ฌธ— •ด๋‹น ๋ชจ๋ธ€ •ˆ ••˜๋‹ค๊ณ   ๊ธด —ˆ๋‹ค. -_-;;
๋‹จ ๋ฌธ œ๋Š” „œ๋ฒ„ ฒ˜๋ฆฌ ‹œ๊ฐ„ด Žธฐจ๊ฐ€ ๋ถ„๋ช…žˆ ด…๋ฐ ด๋ฅผ ๊ณ ๋ ค๋ชป•ด„œ ข€ •ˆŠตธ๋‹ต. †”งžˆ ๋‚˜๋„ 3๋ฒˆ ๊ณ„‚ฐ•˜๋‹ค๊ฐ€ ‹œ๊ฐ„„ ๋‹ค ๋ณด๋‚ด„œ -_-;; - ๋ฐ•˜ฐฝ

5. ๋ง๋ง

3๋ฒˆ ‘ธ๋А๋ผ •œ‹œ๊ฐ„€ ๋ณด๋‚ธ๊ฐ ๊ฐ™๋‹ค. ๋‹ˆ๋ฏธ๋Ÿด-_-; --ธˆ˜
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