{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Solution_ Homework3_Managing Uncertainty

Solution_ Homework3_Managing Uncertainty - 311 Operations...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 311 Operations Management Fall 2008 Solution: Homework # 3 – Managing Uncertainty 1. (30 points, 6 points each) Chapter 8A Question 7 (page 301 in the textbook). a. M/D/1 system λ = 10 person/hour, C a = 1 S = 1, μ = 12 person/hour, C s = 0 ρ = 5/6 = 83% 08 . 2 12 25 2 1 6 / 1 ) 6 / 5 ( 2 1 2 2 2 ) 1 ( 2 = = × = + ×- = + s a S q C C L ρ ρ people b. L s = L q + Sρ = 2.92 people c. W q = L q / λ = 0.208 hour d. W s = W q + 1/ μ = 0.292 hour e. λ = 12 person/hour, L q becomes infinity 2. (20 points, 5 points each) Chapter 8A Question 16 (page 303 in the textbook). a. M/M/1 system λ = 6 person/hour, μ = 10 person/hour, L s = λ / ( μ – λ ) = 1.5 people W s = L s / λ = 0.25 hour = 15 minutes b. ρ = λ / μ = 6/10 = 60% c. P = 1 – λ / μ = 40%, P 1 = (1 – λ / μ ) ( λ / μ ) = 24%, P 2 = (1 – λ / μ ) ( λ / μ ) 2 = 14.4%, P (N>2) = 1 – ( P + P 1 + P 2 ) = 21.6% d. M/M/2 system Macro gives us L q = 0.0593 W q = L q / λ = 0.0099 hour W s = W q + 1/ μ = 0.1099 hour= 0....
View Full Document

{[ snackBarMessage ]}

Page1 / 3

Solution_ Homework3_Managing Uncertainty - 311 Operations...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online