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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 - Mathematics and Statistics

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प्रश्न

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.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

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 True.

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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 १२८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 7 Assignment Problem and Sequencing
Miscellaneous Exercise 7 | Q 3.02 | पृष्ठ १२८

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

A company has three jobs on hand. Each of these must be processed through two departments, in the order AB where
Department A: Press shop and
Department B: Finishing
The table below gives the number of days required by each job in each department

Job I II III
Department A 8 6 5
Department B 8 3 4

Find the sequence in which the three jobs should be processed so as to take minimum time to finish all the three jobs. Also find idle time for both the departments.


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

Choose the correct alternative :

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong


Choose the correct alternative :

In a 3 machine and 5 jobs problem, the least of processing times on machine A, B and C are 5, 1 and 3 hours and the highest processing times are 9, 5 and 7 respectively, then it can be converted to a 2 machine problem if order of the machines is:


Fill in the blank :

The time for which a machine j does not have a job to process to the start of job is called _______.


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


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

Solve the following problem :

Find the sequence that minimizes the total elapsed time to complete the following jobs. Each job is processed in order AB.

Machines Jobs (Processing times in minutes)
I II III IV V VI VII
Machine A 12 6 5 11 5 7 6
Machine B 7 8 9 4 7 8 3

Determine the sequence for the jobs so as to minimize the processing time. Find the total elapsed time and the idle times for both the machines.


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 ______


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Choose the correct alternative:

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong


In assignment problem each worker or machine is ______ capable of handling any job


In sequencing problem the time required to transfer a job from one machine to another is ______


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


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A publisher produces 5 books on Mathematics. The books have to go through composing, printing and binding done by 3 machines A, B, C. The time schedule for the entire task in proper unit is as follows :

Book I II III IV V
Machine A 4 9 8 6 5
Machine B 5 6 2 3 4
Machine C 8 10 6 7 11

Determine the optimum time required to finish the entire task. Also, find idle time for machines A, B, C.


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