Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 9.10, Problem 27P

a.

Summary Introduction

Interpretation: The positional weights of given activities have to be calculated.

Concept Introduction:

Positional weight: Positional weight is the sum of weight of that particular position and the rest of the task weights succeeding in the task list.

b.

Summary Introduction

Interpretation: The minimum number of stations achieved when the cycle time is 30 has to be computed.

Concept Introduction:

Minimum cycle time: It is supposed to be the longest time taken to complete a series of tasks involved in production of a product.

c.

Summary Introduction

Interpretation: The status of number of stations to be derived when the cycle time is lower.

Concept Introduction:

Minimum cycle time: It is supposed to be the longest time taken to complete a series of tasks involved in production of a product.

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(a) What is the cycle time necessary to achieve the desired rate of production?(b) Using the longest element rule, create workstations to balance the line,attempting to get as close as possible to the theoretical minimum numberof workstations.(c) What is the efficiency and idle time of the line balance?(d) The company considers that if the lamps are successful with the publicit may need to increase production to 30,000 units. The company thinksthe simplest solution is to obtain two more production lines, thus havingtriple capacity. Another option is to re-balance the line. Considering thata single worker is assigned to a work station, determine which option(more production lines or re-balancing) yields the smallest labour size.
Tailwind, Inc., produces high-quality but expensive training shoes for nmners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide morestability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily demand is 60. The information for the tasks is as follows:                                                                                                                                                                        a) Draw the precedence diagram.b) Assign tasks to thl e minimum feasible number of workstations according to the "ranked positioned weight" decision rule.c) What is the efficiency of the process you completed in (b)?d) What is the idle time per cycle?
Francis Johnson’s plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 15 units per hour, and there is room for only four workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TASK TIME (MINUTES) IMMEDIATE PREDECESSOR A 1 — B 2 — C 3 — D 1 A, B, C E 3 C F 2 E G 3 E What is the workstation cycle time required to produce 15 units per hour? Note: Round your answer to 1 decimal place.   Balance the line to use the fewest possible workstations to meet the cycle time found in part (b). Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line operates at the cycle time from part (b)? Note: Round your answer to 1 decimal place.
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