MB0048 OPERATIONS RESEARCH – Summer 2016

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ASSIGNMENT

DRIVE           SUMMER 2016

PROGRAM   MBA

SEMESTER  II

SUBJECT CODE & NAME           MB0048

OPERATIONS RESEARCH

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. Describe the process and principles of modelling in detail.

Answer1. Process models are processes of the same nature that are classified together into a model. Thus, a process model is a description of a process at the type level. Since the process model is at the type level, a process is an instantiation of it. The same process model is used repeatedly for the development of many applications and thus, has many instantiations. One possible use of a

 

Question2.  a. Discuss any four applications of linear programming.

Answer

2a. Four

 

  1. 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

 

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 another ship. In any service operated by any line there are practical restrictions in terms of coverage of ports.. There is no shipping line that can cover all ports around the world on a single

 

  1. Solve the following transportation problem using North-west corner method & Matrix minimum method.

 

 

 

Answer3(b).

 

 

 

 

Question4. The processing time of four jobs and five machines (in hours, when passing is not allowed) is given in following table

  1. Find an optimal sequence for the above sequencing problem.
  2. Calculate minimum elapsed time & idle time for machines A, B, C, D & E.

Answer4.

 

Question5. Define following criteria’s used for decision making under Uncertainty

  1. Optimism (maximax or minimin) criterion

 

Answer 5(a).

Maximax (Optimist)

The maximax looks

  1. 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

 

  1. Equal probabilities (Laplace) criterion

 

Answer5(c).

Laplace criterion is also called as law of equal probabilities criterion or criterion of rationality, since probability of states of nature are not known it is assumed that all states of nature will

 

  1. 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 criterion assumes) nor totally pessimistic (as the maximin

  1. Regret (salvage) criterion

 

Answer5(e).

The minimization of regret that is highest when one decision has been made instead of

 

Question6. Explain the following:

  1. Economic Order Quantity(EOQ)

 

Answer6(a).

Economic order quantity (EOQ) is an equation for inventory that determines the ideal order quantity a company should purchase for its inventory given a set cost of production, demand rate

 

 

  1. PERT and CPM

 

Answer6(b).

PERT stands for Program Evaluation Review Technique, a methodology developed by the U.S. Navy in the 1950s to manage the Polaris submarine missile program. A similar

 

 

 

  1. Applications of queuing models

 

Answer6(c).

Queueing Theory has a wide range of applications, and this section is designed to give an illustration of some of these.  It has been divided into 3 main sections, Traffic Flow,

 

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Any Query: +91 9995 105 420