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One machine - one job is not an assumption in solving sequencing problems. - Mathematics and Statistics

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प्रश्न

One machine - one job is not an assumption in solving sequencing problems.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

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Types of Sequencing Problem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Assignment Problem and Sequencing - Miscellaneous Exercise 7 [पृष्ठ १२७]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 7 Assignment Problem and Sequencing
Miscellaneous Exercise 7 | Q 3.01 | पृष्ठ १२७

संबंधित प्रश्न

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

Find the sequence that minimizes the total elapsed time to complete the following jobs in the order AB. Find the total elapsed time and idle times for both the machines.

Job I II IIII IV V VI VII
Machine A 7 16 19 10 14 15 5
Machine B 12 14 14 10 16 5 7

Find the optimal sequence that minimizes total time required to complete the following jobs in the order ABC. The processing times are given in hours.

Jobs I II III IV V VI VII
Machine A 6 7 5 11 6 7 12
Machine B 4 3 2 5 1 5 3
Machine C 3 8 7 4 9 8 7

If there are n jobs and m machines, then there will be_______ sequences of doing the jobs.


State whether the following is True or False :

If there are two least processing times for machine A and machine B, priority is given for the processing time which has lowest time of the adjacent machine.


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.


State whether the following is True or False :

In a sequencing problem, a machine can process more than one job at a time.


State whether the following is True or False :

The time involved in moving a job from one machine to another is negligibly small.


Solve the following problem :

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.

Job I II III IV V
Lathe 4 1 5 2 5
Surface grinder 3 2 4 3 6

Choose the correct alternative:

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.


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


State whether the following statement is True or False:

The idle time for a machine is the when machine is available but is not waiting for any job to be processed


State whether the following statement is True or False: 

In sequencing problem each job once started on any machine must be processed still its completion


State whether the following statement is True or False:

In sequencing problem each machine is of different type


Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.

Jobs A B C D E
Machine X 10 2 18 6 20
Machine Y 4 12 14 16 8

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