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

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 ______

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प्रश्न

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 ______

पर्याय

  • Min Ai ≥ Max Bi OR Min Ci ≥ Max Bi, i = 1, 2, 3…n

  • Min Ai ≤ Max Bi OR Min C ≤ Max Bi, i = 1, 2, 3…n

  • Max Ai ≥ Min Bi OR Max B ≥ Min Ai, i = 1, 2, 3…n

  • Max Ai ≤ Min Bi OR Max B ≤ Min Ai, i = 1, 2, 3…n

MCQ
रिकाम्या जागा भरा
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उत्तर

Min Ai ≥ Max Bi OR Min Ci ≥ Max Bi, i = 1, 2, 3…n

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Types of Sequencing Problem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.7: Assignment Problem and Sequencing - Q.1

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.


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 :

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 :

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 :

Five jobs must pass through a lathe and a surface grinder, in that order. The processing times in hours are shown below. Determine the optimal sequence of the jobs. Also find the idle time of each machine.

Job I II III IV V
Lathe 4 1 5 2 5
Surface grinder 3 2 4 3 6

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.


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


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 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


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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