Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter B, Problem 18P
Summary Introduction
To determine: The number of servers that must report to work at the beginning of each period.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
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Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?
The Safe Zone Restaurant, a 24-hour restaurant, faces changing
requirements from hour to hour. More workers are needed for peak
hours, and fewer are needed in between. The following table shows
the worker requirement for the first 12 hours in the restaurant:
Table 8. Staff Requirement at the Safe Zone Restaurant
Time Period 10
11
12 1 PM|2 PM|3 PM|4 PM|5 PM|6 PM 7 PM|8 PM|9 PM
АM | АM | РМ
Requirement 7
Assigned
On Duty
Overstaffed
9
10
10
8
6
6.
8
8
12
12
8
a) You are required to apply the first-hour principle to staff each
hour with the required number of cafeteria staff, showing how
many staff are on duty each given hour, the number of staff you
have assigned to work each hour and any overstaffing for each
hour.
i. Schedule the staff to work in 8-hour
shifts.
ii. Schedule the staff to work in 4-hour
shifts.
b) Indicate with at least one reason, which schedule would be more
optimal from an Operations Scheduling
perspective?
Chapter B Solutions
Operations Management
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - Prob. 1PCh. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Prob. 7PCh. B - Prob. 8PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 14PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 21PCh. B - Prob. 22PCh. B - Prob. 23PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 28PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 30PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...
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