Linear Prog COP4355_Part_47

Linear Prog COP4355_Part_47 - Chapter 16 Waiting...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
192 Chapter 16 Waiting Lines (Queues) 16.6 (continued) (b) A1 1 U = < 1 11 < 2N S2 N 11 < N 2 N > 5.5 N = 6 workers (c) S 1 1 111 T = = < < S - A 2N - A 4 2N - 11 4 4 < 1 4 < 2N - 11 15 < 2N 2N - 11 N > 7.5 N = 8 (d) S 11 = = 1 hr. S - A 12 - 11 (e) () Q 1 1 1 = = = 55 mins. S S - A 12 12 - 11 12 (f) S 1 N = = = 11 customers S - A 12 - 11 (g) 2 2 Q 11 A = = 10.08 customers S S - A 12 12 - 11 (h) 2 2 11 11 P = 1 - = .0833 .8403 = .07 = 7% 12 12    (i) s (N 3) 0 1 2 P = 1 - (P + P + P ) = 1 - (.0833 + .0764 + .07) = .7703 = 77%
Background image of page 1

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

View Full DocumentRight Arrow Icon
Solutions Manual and Workbook 193 16.7 A = .75 S = .5D - .05D 2 S 1 = .5 - .05 = .45 Infeasible (S < A) S 2 = 1 - .2 = .8 N Q2 = 14.0625 S 3 = 1.5 - .45 = 1.05 N Q3 = 1.7860 S 4 = 2 - .8 = 1.2 N Q4 = 1.0420 S 5 = 2.5 – 1.25 = 1.25 N Q5 = .9 Cost 2 hands (3)(2)($40) + $750(14.0625) = $10,786.875 3 hands (3)(3)($40) + $750 (1.7860) = $1,699.500 4 hands (3)(4)($40) + $750 (1.0420) = $1,261.500* 5 hands (3)(5)($40) + $750 (.9) = $1,275.000 4 dock hands is optimum 16.8 (a) A = 45/hr S = 60 = 12/hr 5 Minimum number of servers = 45 = 3.75 = 4 servers 12 (b) Traffic density = () A4 5 = = 0.9375 NS 4 12 (Round to .95 and use table for P 0 ) P 0 = .005 ( ) N Q0 2 A S T = P N - 1 ! NS - A S   
Background image of page 2
194 Chapter 16 Waiting Lines (Queues) 16.8 (continued) () ( ) () 4 2 45 12 12 .005 3!412 - 45    = ()() 12 197.75 = .005 69 = (.22hr.)(60) = 13.2 min. (c) ( ) QQ N = AT = 45 .22 = 9.9 waiting (d) Average number per line =
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
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

Page1 / 4

Linear Prog COP4355_Part_47 - Chapter 16 Waiting...

This preview shows document pages 1 - 4. Sign up to view the full document.

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