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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता १२

Choose the correct alternative: The solution for an assignment problem is optimal if

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प्रश्न

Choose the correct alternative:

The solution for an assignment problem is optimal if

पर्याय

  • each row and each column has no assignment

  • each row and each column has atleast one assignment

  • each row and each column has atmost one assignment

  • each row and each column has exactly one assignment

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उत्तर

each row and each column has exactly one assignment

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Operations Research - Exercise 10.4 [पृष्ठ २६१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 10 Operations Research
Exercise 10.4 | Q 11 | पृष्ठ २६१

संबंधित प्रश्‍न

Determine `l_92 and l_93, "given that"  l_91 = 97, d_91 = 38 and q_92 = 27/59`


A departmental head has three jobs and four subordinates. The subordinates differ in their capabilities and the jobs differ in their work
contents. With the help of the performance matrix given below, find out which of the four subordinates should be assigned which jobs ?

Subordinates Jobs
I II III
A 7 3 5
B 2 7 4
C 6 5 3
D 3 4 7

The assignment problem is said to be unbalance if ______


The objective of an assignment problem is to assign ______. 


State whether the following is True or False :

In assignment problem, each facility is capable of performing each task.


State whether the following is True or False :

It is not necessary to express an assignment problem into n x n matrix.


Solve the following problem :

A plant manager has four subordinates, and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. This estimate of the time each man would take to perform each task is given in the effectiveness matrix below.

  I II III IV
A 7 25 26 10
B 12 27 3 25
C 37 18 17 14
D 18 25 23 9

How should the tasks be allocated, one to a man, as to minimize the total man hours?


Choose the correct alternative:

The assignment problem is generally defined as a problem of ______


What is the Assignment problem?


Find the optimal solution for the assignment problem with the following cost matrix.

    Area
    1 2 3 4
  P 11 17 8 16
Salesman Q 9 7 12 6
  R 13 16 15 12
  S 14 10 12 11

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