1. | (a) multiple server, FCFS, finite or infinite; (b) multiple server, FCFS, infinite; (c) multiple server, FCFS, infinite; (d) single or multiple, appt., finite; (e) single server, FCFS or appt., finite; (f) single server, FCFS, finite; (g) multiple server, FCFS, infinite; (h) single or multiple, FCFS, infinite; (i) single server, FCFS or appt., finite |
3. | (a) false; (b) true |
5. | Customers served according to a schedule or alphabetically , or at random |
7. | P = .33, P 3 = .099, L = 2, L q = 1.33, W = .125, W q = .083, U = .67 |
9. | L q = .9, W = .25, W q = .15; an infinite queue would form |
11. | l = 9 |
13. | yes, install the second window |
15. | (a) L q = 9.09, W = 24 min., W q = 21.6 min; (b) W = 4 min., the state should install scales |
17. | W q = .56 min., add an advisor |
19. | (a) P = .20; (b) L q = 1; (c) W q = 1.25 days; (d) P 3 = .1825 |
21. | L q = 6.34, W q = 18.39 min |
23. | L q = .083, W q = .083 min |
25. | W = 23.67 hr. |
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27. | (a) 33%; (b) W q = 1.13 min, L q = .756; (c) P = .061 |
29. | W q = .007 hr.; no |
31. | current service = $312; new service = $212.27; new service is better |
33. | (a) no, W q = 8 min.; (b) yes, W q = 0.11 min.; (c) yes, W q = .53 min. |
35. | hire clerks, 5 |
37. | P w =.29976, three salespeople sufficient |
39. | 1.14 hr. |
41. | W q = 10.27 min., P = .423 |
43. | L q = 2.25, L = 12.25, W q = .321 wk., W = 1.75 wk., U = .833 |
45. | add extra employees |
47. | 79 A.M. = 5, 9noon = 2, noon2 P.M. = 6, 25 P.M. = 4 |
49. | adequate; W q = 19.1 min. |
51. | (a) W q = 2.33 hr., P = .24; (b) W q = .89 hr., P = .51 |
53. | L = 4.06, L q = 1.86, W q = 1.01 min |
55. | L q = 132.75 passengers |