This document provides instructions for students to submit their semester assignments. It details an assignment for the Operations Research course in the first semester of 2016. The assignment covers all course blocks and is due by April 30th, 2016. It contains 5 questions related to defining operations research, solving an optimization problem to minimize manufacturing costs, explaining goal programming and its assumptions, calculating economic order quantity, and commenting on using game theory to determine optimal strategies. Students are instructed to email their semester and specialization name or call a phone number to receive fully solved assignments.
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Management Programme
ASSIGNMENT
FIRST SEMESTER
2016
PROGRAM MANAGEMENT PROGRAM
Course Title Operations Research
Assignment Code MS-51/TMA/SEM - I /2016
Coverage All Blocks
Note : Attempt all the questions and submit this assignment on or before 30th April, 2016
to the coordinator of your study centre.
Question1. Define Operations Research. Also, give a brief historical
background of Operations Research.
Answer - OperationsResearch(O.R.),oroperationalisadisciplinethatdealswiththe application of
advanced analytical methods to help make better decisions. The terms management science and
analytics are sometimes used as synonyms for operations research.
Employingtechniquesfromothermathematical sciences,suchasmathematical modelling,statistical
analysis, and mathematical optimization, operations research arrives at optimal or near-optimal
solutionstocomplex decision-makingproblems.Operationsresearchoverlapswithotherdisciplines,
notably industrial engineering and operations
Question 2. ABC Company is engaged in manufacturing five brands of packed
snacks. It is having five manufacturing set ups, each capable of
manufacturing any of its brands one at a time. The cost to make a brand on
these set ups vary according to the following table:
2. S1 S2 S3 S4 S5
B1 4 6 7 5 11
B2 7 3 6 9 5
B3 8 5 4 6 9
B4 9 12 7 11 10
B5 7 5 9 8 11
Assuming five set ups are S1 ,S2, S3, S4, and S5 and five brands are B1, B2,
B3, B4 and B5, find the optimum assignment of products on these set ups
resulting in the minimum cost.
Answer- According to the given data,
Question 3. What is goal programming? State clearly its assumptions. Identify
the major differences between linear programming & goal programming.
Answer- Goal programmingisa branch of multiobjective optimization, which in turn is a branch of
multi-criteria decision analysis (MCDA). This is an optimization programme. It can be thought of as
an extension or generalisation of linear programming to handle multiple, normally conflicting
objective measures.Eachof these measuresisgivenagoal ortarget value tobe achieved.Unwanted
deviations from this set of target values are
Question 4. A company has determined from its analysis of production and
accounting data that, for a part number KC-438, the annual demand is equal
to 10,000 units, the cost to purchase the item is Rs 36 per order, and the
holding cost is Rs 2/unit/year. (a) What should the economic order quantity
be? (b) What is the number of days’ supply per optimum order? (Assume 300
working days in a year)
Answer-
(a)Material Control
3. Question 5. “Game theory provides a systematic quantitative approach for
analysing competitive situations inwhichthe competitors make use of logical
process and techniques in order to determine an optimal strategy for
winning”. Comment.
Answer- Game theory provides a systematic quantitative approach for analysing competitive
situations in which the competitors make use of logical process and techniques in order to
determine an optimal strategy for winning. Game theory, the study of strategic decision-making,
bringstogetherdisparate disciplinessuchasmathematics,psychologyandphilosophy. Game theory
was inventedbyJohnvonNeumann and Oskar Morgenstern in 1944 and has come a long way since
then.The importance of game theoryto modernanalysisanddecision-making can be gauged by the
fact that since 1970, as many as 12 leadingeconomistsandscientistshave been awarded the Nobel
Prize in Economic Sciences for their contributions to
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
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or
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