Q1:

Which one of the following conditions should be satisfied for the application of optimality test on an initial solution of transportation model?

Q2:

In a transportation problem North-West corner rule would yield:

Q3:

Which one of the following is not the solution method of transportation problems?

Q4:

Match List-I (O.R. Techniques) with List-II (Application) and select the correct answer using the codes given below the lists:

List – I	List – II
A. Linear programming	1. Warehouse location decision
B. Transportation	2. Machine allocation decision
C. Assignment	3. Product mix decision
D. Queuing theory	4. Project management decision
	5. Number of servers decision

 

Q5:

In a transportation problem, the materials are transported from 3 plants to 5 warehouses. The basis feasible solution must contain exactly, which one of the following allocated cells?

Q6:

Consider the following statements on transportation problem:

1. In Vogel's approximation method, priority allotment is made in the cell with lowest cost in the column or row with least penalty

2. The North-West corner method ensures faster optimal solution

3. If the total demand is higher than the supply, transportation problem cannot be solved

4. A feasible solution may not be an optimal solution. 

Which of these statements are correct?

Q7:

A firm is required to procure three items (P, Q and R). The process quoted for these items (in Rs.) by suppliers S1, S2 and S3 are given in table. The management policy requires that each item has to be supplied by only one supplier and one supplier supply only one on item. The minimum total cost (in Rs.) of procurement to the firm is:

Item	Suppliers
	S1	S2	S3
P	110	120	130
Q	115	140	140
R	125	145	165

 

Q8:

In an assignment problem having n facilities and n jobs, what is the number of possible ways of making assignments?

Q9:

The assignment algorithm is applicable to which of the following combined situations for the purpose of improving productivity?   

1. Identification of sales force-market

2. Scheduling of operator-machine  

3. Fixing machine-location. 

Select the correct answer using the codes given below:

Q10:

In value engineering the term 'value' refers to:

Q11:

Value is usually considered  as a relationship between

Q12:

Aluminum tie pin and gold tie pin, both serve the purpose of keeping the tie in position. But the gold pin has significance due to:

Q13:

Consider the following:

1. A system-oriented approach 

2. A multidiscipline team approach 

3. A function-oriented approach 

Which of the above refer to value engineering? 

Q14:

Consider the following phases:

1. Information phase

2. Evaluation phase 

3. Creative phase

4. Investigation phase 

The correct sequence of these phases in value engineering is:

Q15:

Consider the following basic steps involved in value analysis: 

1. Create 

2. Blast  

3. Refine 

The correct sequence of these steps is:

Q16:

Consider the following statements:

The objective of value analysis is: 

1. To reduce the cost

2. To increase the profit 

3. To improve quality 

Which of the statements given above are correct?

Q17:

Assertion (A): Value Engineering is concerned with increasing the quality of the product even at enhanced cost to fulfil the customer.

Reason (R): Customer requirements are changing very rapidly and survival of a manufacturing industry is linked with fulfilling the customer’s requirements.

Q18:

Which of the following distributions is followed by the number of arrivals in a given time in a single-server queuing model?

Q19:

In a M/M/I queuing system, the expected waiting time of a unit that actually waits is given by:

Q20:

Which one of the following statements is correct?

Queuing theory is applied best in situations where:

Q21:

Consider a single server queuing model with Poisson arrivals ($\lambda$= 4/ hour) and exponential service ($\lambda$= 4/hour). The number in the system is restricted to a maximum of 10. The probability that a person who comes and leaves without joining the queue is:

Q22:

A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a 'first come first served' queue discipline. Breakdowns occur on an average of 3 per day with a range of zero to eight. The maintenance crew can service an average of 6 machines per day with a range of zero to seven. The mean waiting time for an item to be serviced would be:

Q23:

If the arrivals at a service facility are distributed as per the Poisson distribution with a mean rate of 10 per hour and the services are exponentially distributed with a mean service time of 4 minutes, what is the probability that a customer may have to wait to be served?

Q24:

Match List-I with List-II and select the correct answer using the codes given below the lists:

List – I	List – II
A. Linear programming problem	1. Travelling salesman
B. Queuing problem	2. Saddle point
C. Dynamic problem	3. Product mix
D. Game theory problem	4. Normal distribution

 

Q25:

Arrivals at a telephone booth are considered to be Poisson, with an average time of 10 minutes between successive arrivals. The length of a phone call is distributed exponentially with mean 3 min. The probability that an arrival does not have to wait before service is: