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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर

उत्तर

This statement is False.

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Types of Sequencing Problem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 7 Assignment Problem and Sequencing
Miscellaneous Exercise 7 | Q 3.01 | पृष्ठ १२७

संबंधित प्रश्‍न

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 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

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


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:


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.


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.


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

Solve the problem for minimizing the total elapsed time.


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:

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


______ 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 Total Elapsed is the time required to complete all the jobs i.e. entire task


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


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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