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Question
State whether the following is True or False :
In a sequencing problem, the processing times are dependent of order of processing the jobs on machines.
Options
True
False
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Solution
In a sequencing problem, the processing times are dependent of order of processing the jobs on machines False.
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RELATED QUESTIONS
A machine operator has to perform two operations, turning and threading on 6 different jobs. The time required to perform these operations (in minutes) for each job is known. Determine the order in which the jobs should be processed in order to minimize the total time required to complete all the jobs. Also find the total processing time and idle times for turning and threading operations.
| Job | 1 | 2 | 3 | 4 | 5 | 6 |
| Time of turning | 3 | 12 | 5 | 2 | 9 | 11 |
| Time for threading | 8 | 10 | 9 | 6 | 3 | 1 |
There are five jobs, each of which must go through two machines in the order XY. Processing times (in hours) are given below. Determine the sequence for the jobs that will minimize the total elapsed time. Also find the total elapsed time and idle time for each machine.
| Job | A | B | C | D | E |
| Machine X | 10 | 2 | 18 | 6 | 20 |
| Machine Y | 4 | 12 | 14 | 16 | 8 |
If there are n jobs and m machines, then there will be_______ sequences of doing the jobs.
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In a sequencing problem, a machine can process more than one job at a time.
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The time involved in moving a job from one machine to another is negligibly small.
Solve the following problem :
A readymade garments manufacturer has to process 7 items through two stages of production, namely cutting and sewing. The time taken in hours for each of these items in different stages are given below:
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| Time for Cutting | 5 | 7 | 3 | 4 | 6 | 7 | 12 |
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Five jobs must pass through a lathe and a surface grinder, in that order. The processing times in hours are shown below. Determine the optimal sequence of the jobs. Also find the idle time of each machine.
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A toy manufacturing company produces five types of toys. Each toy has to go through three machines A, B, C in the order ABC. The time required in hours for each process is given in the following table.
| Type | 1 | 2 | 3 | 4 | 5 |
| Machine A | 16 | 20 | 12 | 14 | 22 |
| Machine B | 10 | 12 | 4 | 6 | 8 |
| Machine C | 8 | 18 | 16 | 12 | 10 |
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| Machine | Job | |||
| A | B | C | D | |
| I | 5 | 6 | 8 | 4 |
| II | 4 | 7 | 9 | 10 |
The optimal sequence for above data is
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If there are 3 machines A, B and C, conditions for reducing a 3 machine problem to a 2 machine problem with respect to minimum processing time is ______
If there are n jobs and m machines, then there will be _______ sequence of doing jobs.
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In assignment problem each worker or machine is ______ capable of handling any job
______ time is the time when the machine is available but is waiting for a job to be processed
In sequencing problem the time required to transfer a job from one machine to another is ______
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One of the assumptions is made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine
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The Total Elapsed is the time required to complete all the jobs i.e. entire task
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| Jobs | A | B | C | D | E |
| Machine X | 10 | 2 | 18 | 6 | 20 |
| Machine Y | 4 | 12 | 14 | 16 | 8 |
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| Book | I | II | III | IV | V |
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