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ASSIGNMENT
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.
Question1. 1 Explain the process of OR
Answer1. “Operations Research is “the use of mathematical models, statistics and
algorithms to aid in decision-making. It is most often used to analyze complex real-world
systems, typically with the goal of improving or optimizing performance. It is one form of
applied mathematics.”
(1) Recognize the Problem
(2) Formulate the Problem
(3) Construct a Model
(4) Find a Solution
(5) Define the Process
(6) Implement the Solution
DRIVE SUMMER 2016
PROGRAM MBA
SEMESTER II
SUBJECT CODE & NAME MB0048
OPERATIONS RESEARCH
BK ID B2068
CERDIT 4
MARKS 60
(7) Repeat and Refine
Essentially, the operations research process is your basic problem solving process, like the
introductory problem solving process you might encounter if you were studying (cognitive)
psychology, the art of mathematics,
Question2. a. Discuss any four applications of linear programming.
Answer2a. Four applications of linear programming are as follows:
1. Marketing applications:
 Main application of linear programming in marketing is “media selection”.
 Linear programming can be used to help marketing managers allocate a fixed
budget to various advertising media.
 The main objective is to maximize frequency and quality of exposure.
 Restrictions on the
b. An organisation produces X1 and X2 units of products R and S,
respectively. In this case, the objective function and constraints are
expressed as follows:
Maximise Z = 60X1 + 120X2
Subject to, 3X1 + 6X2 ≤ 240 Raw material constraint
2X1 + 4X2 ≤ 800 Labour hours constraint
X1, X2 ≥ 0 Non-negativity condition
Use graphical method to determine how many units of products R and S the
organisation should produce to maximise its profits.
Answer 2(b) - Here,
We have to maximise Z = 60X1 + 120X2
Subject to,
3X1 + 6X2 ≤
Question3.a. Explain the concept of Trans-shipment.
Answer3(a). Transhipment is the act of off-loading a container from one ship and loading it onto
anothership. Inany service operatedbyanyline there are practical restrictionsintermsof coverage
of ports..There is no shipping line that can cover all ports around the world on a single service and
therefore the services are segregated into trade lanes.
Let’s say there is a liner service that connects Durban to Far East with Singapore, Hong Kong, and
Port Kelangbeingthe portsof call on the voyage fromSouthAfricato Far East. Let’scall thisvessel A.
Let’s say that there is a shipment from
b. Solve the following transportation problem using North-west corner
method & Matrix minimum method.
Answer3(b).
The transportation problem given is :
The north-west corner method generates an initial allocation according to the following
Procedure:
1. Allocate the
Question4. The processing time of four jobs and five machines (in hours,
when passing is not allowed) is given in following table
a. Find an optimal sequence for the above sequencing problem.
b. Calculate minimum elapsed time & idle time for machines A, B, C, D & E.
Answer4.
The Processing time for the
Question5. Define following criteria’s used for decision making under
Uncertainty
a. Optimism (maximax or minimin) criterion
Answer 5(a).
Maximax (Optimist)
The maximax looks at the best that could happen under each action and then chooses the action
with the largest value. They assume that they will get the most possible and then they take the
action with the best case scenario. The
b. Pessimism (maximin or minimax) criterion
Answer5(b).
Maximin (Pessimist)
The maximin person looks at the worst that could happen under each action and then choose the
actionwiththe largestpayoff.Theyassume that the worst that can happen will, and then they take
the action with the best worst
c. Equal probabilities (Laplace) criterion
Answer5(c).
Laplace criterionisalsocalledaslawof equal probabilities criterion or criterion of rationality, since
probabilityof statesof nature are not knownitisassumedthatall statesof nature will occurin equal
probability. I.e. assign an
d. Coefficient of optimism (Hurwicz) criterion
Answer5(d).
A compromise between the maximax and maximin criteria. The decision maker is neither totally
optimistic (as the maximax
e. Regret (salvage) criterion
Answer5(e).
The minimizationof regretthatishighestwhenone decisionhasbeenmade insteadof another. In a
situation in which a decision
Question6. Explain the following:
a. Economic Order Quantity(EOQ)
Answer6(a).
Economicorderquantity(EOQ) isan equationforinventorythatdeterminesthe ideal orderquantity
a companyshouldpurchase for its inventory given a set cost of production, demand rate and other
variables. This is done to minimize variable inventory costs, and the formula takes into account
storage, or holding, costs, ordering
b. PERT and CPM
Answer6(b).
PERT standsfor Program EvaluationReview Technique, a methodology developed by the U.S. Navy
in the 1950s to manage the Polaris submarine missile program. A similar methodology, the Critical
Path Method (CPM) was
c. Applications of queuing models
Answer6(c).
QueueingTheoryhasawide range of applications,andthissectionisdesignedtogive an illustration
of some of these. It has been divided into 3 main sections, Traffic Flow, Scheduling and Facility
DesignandEmployee Allocation. The givenexamples are certainly not the only applications where
queuing theory can be put to good
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
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Mb0048 operations research (1)

  • 1. Dear students get fully solved assignments Send your semester & Specialization name to our mail id : “ help.mbaassignments@gmail.com ” or Call us at : 08263069601 (Prefer mailing. Call in emergency ) ASSIGNMENT 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. Question1. 1 Explain the process of OR Answer1. “Operations Research is “the use of mathematical models, statistics and algorithms to aid in decision-making. It is most often used to analyze complex real-world systems, typically with the goal of improving or optimizing performance. It is one form of applied mathematics.” (1) Recognize the Problem (2) Formulate the Problem (3) Construct a Model (4) Find a Solution (5) Define the Process (6) Implement the Solution DRIVE SUMMER 2016 PROGRAM MBA SEMESTER II SUBJECT CODE & NAME MB0048 OPERATIONS RESEARCH BK ID B2068 CERDIT 4 MARKS 60
  • 2. (7) Repeat and Refine Essentially, the operations research process is your basic problem solving process, like the introductory problem solving process you might encounter if you were studying (cognitive) psychology, the art of mathematics, Question2. a. Discuss any four applications of linear programming. Answer2a. Four applications of linear programming are as follows: 1. Marketing applications:  Main application of linear programming in marketing is “media selection”.  Linear programming can be used to help marketing managers allocate a fixed budget to various advertising media.  The main objective is to maximize frequency and quality of exposure.  Restrictions on the b. An organisation produces X1 and X2 units of products R and S, respectively. In this case, the objective function and constraints are expressed as follows: Maximise Z = 60X1 + 120X2 Subject to, 3X1 + 6X2 ≤ 240 Raw material constraint 2X1 + 4X2 ≤ 800 Labour hours constraint X1, X2 ≥ 0 Non-negativity condition Use graphical method to determine how many units of products R and S the organisation should produce to maximise its profits. Answer 2(b) - Here, We have to maximise Z = 60X1 + 120X2 Subject to,
  • 3. 3X1 + 6X2 ≤ Question3.a. Explain the concept of Trans-shipment. Answer3(a). Transhipment is the act of off-loading a container from one ship and loading it onto anothership. Inany service operatedbyanyline there are practical restrictionsintermsof coverage of ports..There is no shipping line that can cover all ports around the world on a single service and therefore the services are segregated into trade lanes. Let’s say there is a liner service that connects Durban to Far East with Singapore, Hong Kong, and Port Kelangbeingthe portsof call on the voyage fromSouthAfricato Far East. Let’scall thisvessel A. Let’s say that there is a shipment from b. Solve the following transportation problem using North-west corner method & Matrix minimum method. Answer3(b).
  • 4. The transportation problem given is : The north-west corner method generates an initial allocation according to the following Procedure: 1. Allocate the Question4. The processing time of four jobs and five machines (in hours, when passing is not allowed) is given in following table a. Find an optimal sequence for the above sequencing problem. b. Calculate minimum elapsed time & idle time for machines A, B, C, D & E. Answer4. The Processing time for the Question5. Define following criteria’s used for decision making under Uncertainty a. Optimism (maximax or minimin) criterion Answer 5(a). Maximax (Optimist) The maximax looks at the best that could happen under each action and then chooses the action with the largest value. They assume that they will get the most possible and then they take the action with the best case scenario. The b. Pessimism (maximin or minimax) criterion
  • 5. Answer5(b). Maximin (Pessimist) The maximin person looks at the worst that could happen under each action and then choose the actionwiththe largestpayoff.Theyassume that the worst that can happen will, and then they take the action with the best worst c. Equal probabilities (Laplace) criterion Answer5(c). Laplace criterionisalsocalledaslawof equal probabilities criterion or criterion of rationality, since probabilityof statesof nature are not knownitisassumedthatall statesof nature will occurin equal probability. I.e. assign an d. Coefficient of optimism (Hurwicz) criterion Answer5(d). A compromise between the maximax and maximin criteria. The decision maker is neither totally optimistic (as the maximax e. Regret (salvage) criterion Answer5(e). The minimizationof regretthatishighestwhenone decisionhasbeenmade insteadof another. In a situation in which a decision Question6. Explain the following: a. Economic Order Quantity(EOQ) Answer6(a). Economicorderquantity(EOQ) isan equationforinventorythatdeterminesthe ideal orderquantity a companyshouldpurchase for its inventory given a set cost of production, demand rate and other
  • 6. variables. This is done to minimize variable inventory costs, and the formula takes into account storage, or holding, costs, ordering b. PERT and CPM Answer6(b). PERT standsfor Program EvaluationReview Technique, a methodology developed by the U.S. Navy in the 1950s to manage the Polaris submarine missile program. A similar methodology, the Critical Path Method (CPM) was c. Applications of queuing models Answer6(c). QueueingTheoryhasawide range of applications,andthissectionisdesignedtogive an illustration of some of these. It has been divided into 3 main sections, Traffic Flow, Scheduling and Facility DesignandEmployee Allocation. The givenexamples are certainly not the only applications where queuing theory can be put to good Dear students get fully solved assignments Send your semester & Specialization name to our mail id : “ help.mbaassignments@gmail.com ” or Call us at : 08263069601 (Prefer mailing. Call in emergency )