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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

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]

APPEARS IN

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

RELATED QUESTIONS

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.


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

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

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 :

One of the assumptions made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine.


State whether the following is True or False :

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


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)
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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.


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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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


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 ______


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


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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