Production planning and control is the single decision area in a company's manufacturing strategy that most directly impacts the manufacturing system's ability to achieve operational mix flexibility. With product variety being a fundamental industrial feature in modern manufacturing environments, mix flexibility is a key objective for manufacturing companies to meet customer requirements, with regard to the correct mix of products, at the required volumes and at the required timing. Sequencing is perhaps the single most important production planning routine for mix flexibility achievement on a shared manufacturing resource. However, unlike discrete manufacturing, there are limited prescribed techniques for sequencing routines in process manufacturing. This paper explores sequencing via the product wheel technique through its application in two case studies. Sequencing of n jobs through 2 machines (Johnson's rule) Problem: Consider two machines and six jobs flow shop scheduling in Francisco's Junkshop problem. Job Taken by machines 1 2 1 4 3 3 3 14 16 4 10 1 8 12 12 9 Sum 53 45

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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Production planning and control is the single decision area in a company's manufacturing
strategy that most directly impacts the manufacturing system's ability to achieve
operational mix flexibility. With product variety being a fundamental industrial feature in
modern manufacturing environments, mix flexibility is a key objective for manufacturing
companies to meet customer requirements, with regard to the correct mix of products, at
the required volumes and at the required timing.
Sequencing is perhaps the single most important production planning routine for mix
flexibility achievement on a shared manufacturing resource. However, unlike discrete
manufacturing, there are limited prescribed techniques for sequencing routines in process
manufacturing. This paper explores sequencing via the product wheel technique through
its application in two case studies.
Sequencing of n jobs through 2 machines (Johnson's rule)
Problem: Consider two machines and six jobs flow shop scheduling in Francisco's
Junkshop problem.
Job
Taken by machines
1
6
4
2
3
3
3
14
16
4
10
1
8
12
6
12
9
Sum
53
45
2.
Transcribed Image Text:Production planning and control is the single decision area in a company's manufacturing strategy that most directly impacts the manufacturing system's ability to achieve operational mix flexibility. With product variety being a fundamental industrial feature in modern manufacturing environments, mix flexibility is a key objective for manufacturing companies to meet customer requirements, with regard to the correct mix of products, at the required volumes and at the required timing. Sequencing is perhaps the single most important production planning routine for mix flexibility achievement on a shared manufacturing resource. However, unlike discrete manufacturing, there are limited prescribed techniques for sequencing routines in process manufacturing. This paper explores sequencing via the product wheel technique through its application in two case studies. Sequencing of n jobs through 2 machines (Johnson's rule) Problem: Consider two machines and six jobs flow shop scheduling in Francisco's Junkshop problem. Job Taken by machines 1 6 4 2 3 3 3 14 16 4 10 1 8 12 6 12 9 Sum 53 45 2.
Using Johnson's algorithm obtain the optimal sequence.
Stage
Unscheduled
Min
Assignment
Partial
Job
sequence/ Full
sequence
1
4
Then use the optimal sequence to minimize and identify the markspan, write your answer
on the table below.
Job
M/C-1
M/C-1
Idle time on
m/c-2
Time in
Time out
Time in
Time out
Transcribed Image Text:Using Johnson's algorithm obtain the optimal sequence. Stage Unscheduled Min Assignment Partial Job sequence/ Full sequence 1 4 Then use the optimal sequence to minimize and identify the markspan, write your answer on the table below. Job M/C-1 M/C-1 Idle time on m/c-2 Time in Time out Time in Time out
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