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

In assignment problem each worker or machine is ______ capable of handling any job - Mathematics and Statistics

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प्रश्न

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

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उत्तर

independently

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Types of Sequencing Problem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.7: Assignment Problem and Sequencing - Q.2

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 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.


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 _______.


The time required for printing of four books A, B, C and D is 5, 8, 10 and 7 hours, while its data entry requires 7, 4, 3 and 6 hrs respectively. The sequence that minimizes total elapsed time 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.


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

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 ______


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


State whether the following statement is True or False:

In sequencing problem each machine is of different type


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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