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

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Question

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

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

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Types of Sequencing Problem
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Chapter 7: Assignment Problem and Sequencing - Miscellaneous Exercise 7 [Page 127]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 7 Assignment Problem and Sequencing
Miscellaneous Exercise 7 | Q 3.01 | Page 127

RELATED QUESTIONS

An insurance company receives three types of policy application bundles daily from its head office for data entry and tiling. The time (in minutes) required for each type for these two operations is given in the following table:

Policy 1 2 3
Data Entry 90 120 180
Filing 140 110 100

Find the sequence that minimizes the total time required to complete the entire task.


Choose the correct alternative :

The objective of sequencing problem is


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


Choose the correct alternative :

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


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 _______.


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 :

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:

Items 1 2 3 4 5 6 7
Time for Cutting 5 7 3 4 6 7 12
Time for Sewing 2 6 7 5 9 5 8

Find the sequence in which these items are to be processed through these stages so as to minimize the total processing time. Also find the idle time of each machine.


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:

Machine Job
A B C D
I 5 6 8 4
II 4 7 9 10

The optimal sequence for above data is


If there are n jobs and m machines, then there will be _______ sequence of doing jobs.


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: 

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


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


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

The processing times required for four jobs A, B, C and D on machine M1 are 5, 8, 10 and 7 hours and on machine M2 it requires 7, 4, 3 and 6 hours respectively. The jobs are processed in the order Ml, M2. The sequence that minimises total elapsed time is ______


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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