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MARGINALIZATION (Different learners in Marginalized Group
Mb0048 operations research
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ASSIGNMENT
DRIVE FALL 2015
PROGRAM MBADS/ MBAFLEX/ MBAHCSN3/ MBAN2/ PGDBAN2
SUBJECT CODE & NAME MB0048- OPERATIONS RESEARCH
SEMESTER 2
BK ID B1631
CREDITS 4
MARKS 60
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
Q1 Describe the framework of Operations Research.
Answer:OperationsResearch(OR) isanapproachusedto improve service delivery or to strengthen
other aspects of programs. Although OR can include diagnostic or evaluative studies, the most
common use of OR is the intervention study, consisting of five steps:
1. Identifying problems related to service delivery;
2. Identifying possible strategies to address these problems;
3. Testing these strategies under quasi-experimental conditions;
4. Disseminating the findings to program managers and policymakers; and
5. Using the information to improve service delivery programs (Fisher et al., 1991).
Thisapproach isparticularlyuseful intestingnew andpotentially controversial strategies to service
delivery.The implementingorganizationcanexperiment with the new approach on a limited scale,
without having to adopt it throughout the organization.
Q2 a. Explain the graphical method of solving Linear Programming Problem.
Answer: Linear programming (LP or linear optimization) is a method to achieve the best outcome
(such as maximum profit or lowest cost) in a mathematical model whose requirements are
represented by linear relationships. Linear programming is a special case of mathematical
programming (mathematical optimization).
More formally,linearprogrammingisatechnique forthe optimizationof alinearobjective function,
subject to linear equality and linear inequality
2. Qb. A paper mill produces two grades of paper viz., X and Y. Because of raw materialrestrictions, it
cannot produce more than 400 tons of grade X paper and 300 tons of grade Ypaper in a week.
There are 160 production hours in a week. It requires 0.20 and 0.40 hours toproduce a ton of
grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper
respectively. Formulate this as a Linear Programming Problem.
Answer: Objective function is to maximize the profit
Thus Max. Z=200X1+500X2
Constraints 1.Raw materials
2. Production hour.
Q3 a. Explain some of the important terms of the transportation problem.
Answer: The transshipment problem is similar to the transportation problem except that in the
transshipment problem it is possible to both ship into and out of the same node (point). For the
transportation problem, you can ship only from supply points to demand points. For the
transshipmentproblem, youcanshipfromone supplypointtoanotheror fromone demandpointto
another. Actually, designating nodes as supply
b. Explain the steps of MODI (Modified Distribution) method.
Answer: Transportation Algorithm for Minimization Problem (MODI Method)
After evaluating an initial basic feasible solution to a transportation problem, the next question is
how to get the optimum solution. The basic techniques are illustrated as follows:
1. Determine the net evaluations for the non–basic variables (empty cells)
2. Determine the entering variable
3. Determine the leaving variable
Q4 a. Explain the steps involved in Hungarian method of solving Assignment problems.
Answer:The assignmentproblemisone of the fundamentalcombinatorial optimization problems in
the branch of optimizationoroperationsresearchinmathematics. It consists of finding a maximum
weight matching in a weighted bipartite graph.
In its most general form, the problem is as follows:
There are a numberof agentsand a numberof tasks.Any agentcan be assignedtoperformanytask,
incurring some cost that may vary depending on the agent-task
3. b. Find an optimal solution to an assignment problem with the following cost matrix:
Answer: The solution is as follows.
First, the minimum element in each row is subtracted from all the elements in that row.
This gives the following reduced-cost matrix.
Q5 a. Explain Monte Carlo Simulation.
Answer: Monte Carlo methods (or Monte Carlo experiments) are a broad class of computational
algorithms that rely on repeated random sampling to obtain numerical results; typically one runs
simulationsmanytimesoverinorder to obtain the distribution of an unknown probabilistic entity.
The name comes from the resemblance of the technique to the act of playing and recording your
resultsina real gamblingcasino.Theyare oftenusedinphysical andmathematical problemsandare
most useful when it is difficult or impossible to obtain a closed-form expression, or infeasible to
apply a deterministic algorithm. Monte Carlo methods are mainly used in three distinct problem
classes: optimization, numerical integration and generation
b. Hindustan Bakery is popular for its delicious fruit cakes. The table below shows the daily
demand for the bakery’s cakes.
Daily Demand 0 15 25 35 45 50
Probability 0.01 0.15 0.2 0.5 0.12 0.02
Simulate the demand for cakes for 10 days using the following sequence of random numbers:
4. 22, 26, 48, 53, 93, 89, 42, 91, 25, 20
If 35 cakes are baked every day in Hindustan Bakery, determine the inventory stock. In addition,
estimate the daily average demand for cakes on the basis of simulated data.
Answer:
Q6 a. State the assumptions of game theory.
Answer: Game theory is the study of the ways in which interacting choices of economic agents
produce outcomeswithrespecttothe preferences(orutilities) of those agents,where the outcomes
inquestionmighthave beenintendedbynone of the agents.The meaningof thisstatementwill not
be clear to the non-expert until each of the italicized words and phrases has been explained and
featured in some examples.
c. What are the rules for prioritising jobs?
Answer:Prioritizingdailytasksiskeytosuccessful time management.Whenyouprioritize,youmake
sure you accomplishthe mostimportanttasksfirst.Make time managementahabit — your stress
level (andyourboss's!) willthankyou.Follow thisprocess:
1. Start with a master list.
Write downeverysingle task,bothmundane andcritical,
Dear students get fully solved SMU MBA assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
(Prefer mailing. Call in emergency )