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Modeling Simulation Class_Exam2006_1


1. ‹œ—˜ ผž

2006. 10. 20. PM6:00

2. ž‘„ฑž

๊ฐ•ธˆ˜, •˜ฐฝ

3. ‹œ—˜ ‚šฉ

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

2. (10 points)
š „ —ˆ ‹œ—˜„ ณธ‹ค. š „ —ˆ ‹œ—˜€  2‹จ๊ณ„กœ ๊ตฌถ„˜– น˜Ÿฌง„‹ค.
Step 1) •„๊ธฐ ‹œ—˜. AM9, PM1 ‹œ ๊ฒฝ— ฃจ–€ฉฐ, ‹œ—˜‹œ๊ฐ„€ 50ถ„ ‰๊ฐ€ ‹œ๊ฐ„„ 10ถ„ ๊ฐ–Š”‹ค. •œฒˆ˜ ‹œ—˜— ตœŒ€ ‘‹œธ›€ 50…ฉฐ, •ฉ๊ฒฉฅ € 80%‹ค.
Step 2) ‹ค๊ธฐ ‹œ—˜. •„๊ธฐ ‹œ—˜ •ฉ๊ฒฉž— •œ•„œ น˜ฃจ๊ฒŒ œ‹ค. ‹œ—˜€ ฐจ 2Œ€ฅผ ๊ฐ€€๊ณ  ฃจ–€ฉฐ, ‹œ—˜„ €น„•˜Š”ฐ 1ถ„˜ ‹œ๊ฐ„ †Œš”˜ฉฐ, †ต 6ถ„ ๊ฐ€Ÿ‰˜ ‹œ๊ฐ„ †Œš”œ‹ค. ‹จ, ‹œ—˜ „ค‘— ๊ฒฐ๊ฒฉ ‚ฌœ ๊ฐ€ ฐœ๊ฒฌ ‹œ 6ถ„ •ˆ˜–„ ‹œ—˜ ข…ฃŒ˜๊ฒŒ œ‹ค.
•‹น š „—ˆ ‹œ—˜€  „ ๊ณผ • PM5‹œ— ข…ฃŒœ‹ค.
(a) •‹น ธ„ ๊ตฌ„ฑ•˜๊ณ  •„𔕠 ๊ฒฝšฐ ๊ฐ€ •„ •„ ข‹‹ค. (7 points)
(b) ๊ตฌ„ฑœ ธ •ˆ • ธ€ …™••œ œ ฅผ Œ€๊ณ  „ค…•˜ผ. (3 points)

3. Triangular Distribution ๊ทธž˜”„ 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 - ๊ทธž˜”„˜ ๊ฐ€žฅ †’€ € ˜ †’ฅผ ๊ตฌ•˜ผŠ” ฌธ œกœ ŒŒ•…–ˆŒ. pdf  „˜ „“๊ฐ€ 1ผŠ” ‚ฌ‹ค„ šฉ•˜Š” ฌธ œ
(b) (5 points) Expectation ๊ตฌ•˜๊ธฐ - (๊ณ„‚ฐ ๊ต‰žฅžˆ € €ถ„•จ. †Œˆ˜  ‚œ)

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

4. ‹ต

2.
1) ‚˜˜ ๊ฒฝšฐ •‹น ฌธ œฅผ ๊ฐ„‹จ•œ ™•ฅ  ธ + Single Queue, Multi Server ˜ ฌธ œกœ ŒŒ•…–ˆ‹ค. ™•ฅ ธ€ 1ฐจ •ฉ๊ฒฉžฅผ ๊ฐ€ฆฌŠ”ฐ “ฐ๊ณ , SQMSธ€ ‹ค๊ธฐ ‹œ—˜„ ๊ฐ€ฆฌŠ”ฐ ‚ฌšฉ•˜๊ณ , ๊ฐ€ •œผกœ ‹ค๊ธฐ ‹œ—˜€ 7ถ„„ ตœ๊ณ   œผกœ๊ฐ–Š” Triangle Distribution ผ๊ณ  ๊ฐ€ ••˜๊ณ  ’€–ˆŒ.
2) €กฑ•œ ‹œ๊ฐ„, žœค•ˆ˜ฅผ ‚ฌšฉ•  ˆ˜ —†Š” ƒ™ผŠ”  „ ง•˜๊ณ , TD ˜ ๊ธฐŒ€น˜ฅผ ๊ตฌ–ˆ‹ค. Œ€ถฉ ๊ตฌ•‹ˆ 7.55 ถ„๊ฐ€Ÿ‰ †Œš”œ‹คŠ” ‚ฌ‹ค„ •Œ•˜‹ค. (ขŒšฐ Œ€นญ˜•œผกœ ๊ฐ€ •–ˆ๊ธฐ •Œฌธ—... -_-) ”ฐผ„œ •œ Œจ๊ฑฐฆฌ˜ ‹ค๊ธฐ ‹œ—˜•ฉ๊ฒฉž˜ ตœŒ€ ธ›€ 40… †Œš”˜Š” ‹œ๊ฐ„€  5‹œ๊ฐ„€งŒ SQMS ธ ž‰—„œ ตœŒ€˜ šจœจ„ ฐœœ˜ •  ˆ˜ žˆœผ€กœ, –‘˜ „œฒ„— ฐ˜”ฉ„ ‚˜ˆ„–„œ ‹œ—˜„ 2‹œ๊ฐ„ ฐ˜๊ฐ€Ÿ‰ •„š”•˜‹ค๊ณ  Œ‹จ. •„๊ธฐ๊ฐ€ ข…ฃŒ˜Š” ‹œ๊ฐ„€ 10:00 + 2:30. 14:00 + 2:30 ”ฐผ„œ ‹นผ˜ ‹œ—˜ ™„ „žˆ ข…ฃŒ˜Š” 17:00 ถ„ •ˆ— ‹œ—˜„ ‚ผ ˆ˜ žˆ๊ธฐ •Œฌธ— •‹น ธ€ •ˆ ••˜‹ค๊ณ   ๊ธ —ˆ‹ค. -_-;;
‹จ ฌธ œŠ” „œฒ„ ฒ˜ฆฌ ‹œ๊ฐ„ Žธฐจ๊ฐ€ ถ„…žˆ …ฐ ฅผ ๊ณ  ค•„œ € •ˆŠตธ‹ต. †”งžˆ ‚˜„ 3ฒˆ ๊ณ„‚ฐ•˜‹ค๊ฐ€ ‹œ๊ฐ„„ ‹ค ‚„œ -_-;; - •˜ฐฝ

5. งง

3ฒˆ ‘ธАผ •œ‹œ๊ฐ„€ ‚ธ๊ฑฐ ๊ฐ™‹ค. ‹ˆฏธŸ-_-; --ธˆ˜
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