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

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 respective - Mathematics and Statistics

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प्रश्न

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:

पर्याय

  • B - A - C

  • A - B - C

  • C - B - A

  • Any Order

MCQ

उत्तर

A - B - C

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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 1.13 | पृष्ठ १२७

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

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 IIII 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 _______.


Fill in the blank :

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 :

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


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 :

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:

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.


______ 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


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

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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