OM HW5 - Homework 5 Problem 1 (7) a) Lq = ^2 / (*(-)...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework 5 Problem 1 (7) = λ 10 customers / hour = μ 12 customerrs / hour a) Lq = ^2 / ( *( - )) λ μ μ λ 4.17 customers b) Ls = / ( - ) λ μ λ 5 customers c) Wq= Lq / λ 0.42 hours 2 (21) One Worker = λ 2 = μ 2 Dowtime $= $40 Ls= /( - ) λ μ λ #DIV/0! NOT Feasible Two Workers = λ 2 = μ 3 Dowtime $= $40 Labor/hour $20 Ls= /( - ) λ μ λ 2 average in system $40 *2 + $20*2 $120 Three Workers = λ 2 = μ 4 Dowtime $= $40 Labor/hour $20 Average in System Average in System Downtime Cost
Background image of page 1

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

View Full DocumentRight Arrow Icon
Homework 5 Ls= /( - ) λ μ λ 1 average in system $40 + $20*3 $100 <BEST ALTERNATIVE 3 a) = λ 18 = μ 30 Lq = ^2 / ( *( - )) λ μ μ λ 0.9 customers Wq= Lq / λ 0.05 hours b) = λ 36 = μ 51 Lq = ^2 / ( *( - )) λ μ μ λ 1.694 customers Wq= Lq / λ 0.047 hours The consultant is correct (given a .003 margin 4) Model 1 (M/M/1 Queue): Single server, Infinite population, Poisson arrivals, FCFS, Exponential service time, Unlimited queue length
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

OM HW5 - Homework 5 Problem 1 (7) a) Lq = ^2 / (*(-)...

This preview shows document pages 1 - 6. Sign up to view the full document.

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