Saturday, February 28, 2009

Assignment prob-9

To stimulate interest and provide an atmoshphere in a managemnt school decdes to hold seminars on 4 topics namely leasing , portfolio mgmt, mutuial fund, misc. These seminars are planned to arrange on each day one topic. A careful study indicates that the number of students who cannot attend the seminars are on a specific day is given below. Schedules the seminar in order to minimise the total absentees.

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  • The given entries rep. no. of absentees
  • Objective is minimization
  • Problem is UNBALANCED, hence atttach a DUMMY Column with zero entries

New matrix

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Row penalties: Need not be performed since dummy column is attached , (similarly if dummy row is attached column penalties can be ignored)

(Also note: all the numbers can be divided by 10 to make it simplified to read)

Column penalties:

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Draw minimum number of lines

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Since min lines not equal to matrix type, apply Stage B formalities Least uncovered elements is 1 perform the following a) Deduct '1' from the uncovered element , B) add 1 with intersection C) keep the elements on the line as it is

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Draw minimum number of lines

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Apply box cross rule

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No classes on Tuesday.

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