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Johnson's rule is applicable for planning a job shop for
- a)n machines and 2 jobs
- b)2 machines and it jobs
- c)n machines and n jobs
- d)1 machine and n jobs
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Johnson's rule is applicable for planning a job shop fora)n machines ...
Johnson's rule is applicable for planning a job shop with 2 machines and 1 job.
Explanation:
Job shops are manufacturing facilities that produce a variety of different products in small batches. These facilities typically have multiple machines that can perform different operations on the products. The challenge in job shop scheduling is to determine the most efficient sequence of operations for each product, taking into account the availability of machines and minimizing the total time required to complete all the jobs.
Johnson's rule is a simple and effective algorithm for scheduling jobs in a job shop with 2 machines and 1 job. It is based on the concept of minimizing the total time required to complete all the jobs by sequencing the operations in the most efficient way possible.
Johnson's rule works by dividing the operations of each job into two groups: those that can be processed on the first machine and those that can be processed on the second machine. The rule then determines the order in which the operations should be processed based on the processing times of each operation on each machine.
Here is how Johnson's rule works:
1. Determine the processing times for each operation on each machine: For each operation, determine the time required to process it on the first machine and the time required to process it on the second machine.
2. Identify the operations that can be processed on the first machine first: Compare the processing times of each operation on the first machine and select the operation with the shortest processing time.
3. Identify the operations that can be processed on the second machine last: Compare the processing times of each operation on the second machine and select the operation with the longest processing time.
4. Repeat steps 2 and 3 until all operations have been sequenced: Continue selecting the operation with the shortest processing time on the first machine and the operation with the longest processing time on the second machine until all operations have been sequenced.
5. Determine the optimal sequence of operations: The sequence of operations determined by Johnson's rule represents the most efficient way to schedule the jobs in a job shop with 2 machines and 1 job.
In conclusion, Johnson's rule is a useful algorithm for planning a job shop with 2 machines and 1 job. By sequencing the operations in the most efficient way possible, it helps minimize the total time required to complete all the jobs.
Explanation:
Job shops are manufacturing facilities that produce a variety of different products in small batches. These facilities typically have multiple machines that can perform different operations on the products. The challenge in job shop scheduling is to determine the most efficient sequence of operations for each product, taking into account the availability of machines and minimizing the total time required to complete all the jobs.
Johnson's rule is a simple and effective algorithm for scheduling jobs in a job shop with 2 machines and 1 job. It is based on the concept of minimizing the total time required to complete all the jobs by sequencing the operations in the most efficient way possible.
Johnson's rule works by dividing the operations of each job into two groups: those that can be processed on the first machine and those that can be processed on the second machine. The rule then determines the order in which the operations should be processed based on the processing times of each operation on each machine.
Here is how Johnson's rule works:
1. Determine the processing times for each operation on each machine: For each operation, determine the time required to process it on the first machine and the time required to process it on the second machine.
2. Identify the operations that can be processed on the first machine first: Compare the processing times of each operation on the first machine and select the operation with the shortest processing time.
3. Identify the operations that can be processed on the second machine last: Compare the processing times of each operation on the second machine and select the operation with the longest processing time.
4. Repeat steps 2 and 3 until all operations have been sequenced: Continue selecting the operation with the shortest processing time on the first machine and the operation with the longest processing time on the second machine until all operations have been sequenced.
5. Determine the optimal sequence of operations: The sequence of operations determined by Johnson's rule represents the most efficient way to schedule the jobs in a job shop with 2 machines and 1 job.
In conclusion, Johnson's rule is a useful algorithm for planning a job shop with 2 machines and 1 job. By sequencing the operations in the most efficient way possible, it helps minimize the total time required to complete all the jobs.
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Johnson's rule is applicable for planning a job shop fora)n machines ...
Johnson's rule is a method of scheduling jobs in two work centres. Its primary objective is to find an optimal sequence of jobs to reduce make span (the total amount of time it takes to complete all jobs). It also reduces the amount of idle time between the two work centres. The method minimizes the make span in the case of two work centres.
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Johnson's rule is applicable for planning a job shop fora)n machines and 2 jobsb)2 machines and it jobsc)n machines and n jobsd)1 machine and n jobsCorrect answer is option 'B'. Can you explain this answer?
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