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

State whether the following statement is True or False: In sequencing problem each machine is of different type - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

In sequencing problem each machine is of different type

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

True

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Types of Sequencing Problem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.7: Assignment Problem and Sequencing - Q.3

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.


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.


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 III IV V VI VII
Machine A 7 16 19 10 14 15 5
Machine B 12 14 14 10 16 5 7

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


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 :

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 :

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.


Solve the following problem :

A foreman wants to process 4 different jobs on three machines: a shaping machine, a drilling machine and a tapping machine, the sequence of operations being shaping-drilling-tapping. Decide the optimal sequence for the four jobs to minimize the total elapsed time. Also find the total elapsed time and the idle time for every machine.

Job Shaping (Minutes) Drilling (Minutes) Trapping (Minutes)
1 13 3 18
2 18 8 4
3 8 6 13
4 23 6 8

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


______ time is the time when the machine is available but is waiting for a job to be processed


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:

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


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 ______


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