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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.


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 optimal sequence that minimizes total time required to complete the following jobs in the order ABC. The processing times are given in hours.

Jobs I II III IV V VI VII
Machine A 6 7 5 11 6 7 12
Machine B 4 3 2 5 1 5 3
Machine C 3 8 7 4 9 8 7

Choose the correct alternative :

The objective of sequencing problem is


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:


One machine - one job is not an assumption in solving sequencing problems.


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 :

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 :

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

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.


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


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:

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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