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MISCELLANEOUS

 

Operation Research

Compiled By: - Mr. Shubham Kapoor

Q. Who coined the term Operations Research in 1940?

A. McClosky and Trefthen

Q. In India, Operations Research came into existence in which year?

A. 1949

Q. Operations Research came into existence in 1949 in India, with the opening of an OR unit at which place?

A. Regional Research Laboratory, Hyderabad

Q. How OR helps in decision making?

A. OR helps in decision making by having Better control, Better decision,and Better system.

Q. What is a model?

A.A model as used in OR is defined as idealized representation of a real-life system.

Q. what is Deterministic model?

A. Models which assume conditions of complete certainty and perfect knowledge are known as deterministic model.

Q. ___________  is not general method of deriving the solution.

A. Hit and trial method

Q. The first formal activities of OR were initiated in which country?

A. England during the Second W­­­orld War

Q. The definition“OR is a scientific method of providing executive departments with a quantitative basis for decisions under their control” was given by?

A. P.M. Morse and G.E. Kimball

Q. How T.L. Saaty defines OR?

A. OR is the art of giving bad answers to problems which otherwise have worse answers.

 

 

Q. What is the objective of OR?

A. OR attempts to locate the best or optimal solution to the problem under consideration. For this purpose, it is necessary that a measures of effectiveness is defined which is based on the goals of the organization.E.g.profit, net returns, cost of production etc.

Q. ________ models are pictorial representation of real systems and have the appearance of the real thing. They represent the system as it is by scaling it up or down.

A. Iconic model

Q. _________ models are the one in which one set of properties is used to represent another set of properties.

A. Analogue models

Q. What is static model?

A. The model which does not consider the impact of changes that takes place during the planning horizon is known as static model.

Q. What is the first step in methodology of Operations Research comprises?

A. Formulation of problem

Q. ________ is the first step in formulating a linear programming problem.

A. Identify the decision variables

Q. What is redundant constraint?

A. Whenever, a constraint does not define a portion of the boundary of the feasible solution region, it is called redundant constraint.

Q. The optimal value of the objective function is attained at what points?

A. Corner points of the feasible region.

Q. In general LPP the function which optimizes a linear function of variables subject to a set of linear equations and/or inequations is known as __________?

A. Objective Function

Q. In LP problem having only less than or equal to constraints the initial basic feasible solution is provided by using _________?

A. Slack variables

 

Q.  In Simplex Method, variable with non-zero values are calledas ?

A. Basic variables

Q. What is a Surplus variable?

A. The positive variable which is subtracted from the left hand side of the constraint to convert it into equation is called as surplus variable.

Q. The element at the intersection of minimum ratio arrow and incoming vector arrow is called?

A. Key element or pivot element

Q. In transportation problem where supply and demand are exactly equal is known as _____?

A. Balanced

Q. In a transportation problem having m origins and n destinations then the problem is solvable if numbers of basic variables are ______?

A. Exactly equal to (m +n -1)

Q. _________ problem in OR arises in situations involving physical movements of goods

A. Transportation Problem

Q. What is the objective of transportation problem ?

A. In a Transportation problem the objective is to transport various quantities of a single homogenous commodity that are stored at various origins to different destinations in such a way that the transportation cost isminimum.

Q. In which method an algorithm is used to find a relatively efficient initial feasible solution to a transportation problem _________?

A. Vogel’s Approximation Method

Q. Systematic allocation to cells beginning in the upper left hand corner of the transportation problem to obtain an initial feasible solution is _______?

A. North- West Corner Method

Q. In Vogel’s Approximation Method, the penalty (opportunity cost) associated with a row is determined by?

A. The difference between the smallest cost and the next smallest cost in that row.

Q. In transportation problem a feasible solution to a 5 origin, 4 destination problem is said to be basic if the number of positive allocations are ____?

A. 8

Q. What is a Rim condition in a transportation problem?

A. Rim conditions in a transportation problem means satisfy all the supply and demand constraints

Q. ____________ Method is used to solveTransportation Problem

A. Modified Distribution

Q. _________ method uses the stepping stone path to determine how many items to allocate to the selected unused cell

A. MODI method

Q. If the feasible solution of a transportation problem with m origins and n destinations is equal to m+n-1 then solution of transportation problem is said to be ________?

A. Non-degenerate

Q. If the feasible solution of a transportation problem with m origins and n destinations is fewer than m+n-1 then solution of transportation problem is said to be _______?

A. Degenerate

Q. What is assignment problem?

A. The problem which involves the allocation of n different facilities to n different tasks is often termed as assignment Problem.

Q. Assignment problem is special class of __________ Problem.

A. Transportation Problem

Q. In an assignment problem, if we add or subtract a constant to every element of any row (or column) of the cost matrix [Cij ], then an assignment that minimizes the total cost on one matrix also __________ the total cost on the other matrix.

A. Minimizes

Q. Hungarian Method is a technique of solving ________ problem

A. Assignment Problem

 

Q. What is an efficient means of finding the optimal solution of assignment problem ?

A. Hungarian method

Q. Hungarian method of assignment problem was developed by

A. D. Konig

Q. What is Shortage or stock out cost?

A. The penalty costs that are incurred as a result of either delay in meeting the demand or inability to meet it at all due to running out of stock are known asShortage or stock out cost.

Q. The concept of Economic Order Quantity (EOQ) Model was developed by?

A. F. Haris

Q. In inventory model ,the ordering and the holding costs are equal at

A. Economic Order Quantity

Q. what is the full form of EOQ?

A. Economic Order Quantity

Q. What is Progressive failure?

A.The type of failure in which the probability of failure increases with the increase in the life of an item isProgressive failure.

Q. What is gradual failure?

A. Slow or progressive failure as the life of the item increases , its efficiency decreases is known as gradual failure

Q. When the items do not deteriorate markedly with service but which ultimately fail after a period of use is known as _______?

A. Sudden failure

Q. Replacement theory deals with the analysis of materials and machines which deteriorate with time and fix the optimal time of their replacement so that total cost is ________

A. Minimum

 

Q. The present worth factor with regard to replacement and maintenance models, is given by:

A. (1+r)^-n

Q. The present worth factor of unit amount to be spent after one year is given by

A. V = 1/1+r

Q. Optimal policy for replacement of items whose maintenance costs increase with time; while the value of money changes with constant rate during the period is given by

A. Replace the item if the next period’s cost is greater than the weighted average of previous costs.

Q. What is Sequencing Problem?

A. The assignment of the order in which jobs are processed is known asSequencing Problem.

Q. In sequencing problem , the effectiveness is a function of ______?

A. Order in which given tasks are performed

Q. Theoretically all possible sequence with n jobs and m machines is given by _____?

A. (nᴉ)^m

Q. The procedure to solve sequencing problem with n jobs through two machines was given by

A. Johnson

Q. Every sequencing problem must have ________ optimal solutions

A. Several optimal solutions

Q. In sequencing problem, we select the sequences for which the total time taken in processing all the jobs on the machines would be _____

A. Minimum

Q. In Johnson’s procedure to solve n jobs though two machines, find the minimum processing time from all the jobs, do the job first if

A. The minimum time happens to be on first machine

Q. One of the oldest and most widely used Operations Research techniques to study the waiting lines is called __________?

A. Queuing theory

 

Q. The __________ theory owes its development to sequencing problem

A. Queuing

Q. The rule to determine the formation of queue and manner in which customers form the queue are selected for service is called _______

A. Queue discipline

Q. What is Jockeying?

A. Customers who switch from one queue to another hoping to receive service more quickly are said to beJockeying.

Q. In service discipline if the customers are served in the order of their arrival, then this is known as the _________

A. First-come-first-served (FCFS)

Q. If customer arrives at known intervals and the service time is known with certainty, the nature of queuing model will be ____

A. Deterministic

Q.If the arrivals are completely random, then the probability distribution of number of arrivals in a fixed time –interval follows ________

A. Poisson distribution

Q. First in first out discipline is indicated by

A. (M/M/1): (∞/FIFO)

Q. The unit of traffic intensity is

A. Erlang

Q. What is Network Analysis?

A. The OR techniques used for planning, scheduling and controlling large and complex projects are known as network Analysis.

Q. Activities which cannot be started until one or more of other activities are completed but immediately succeed them are called ________?

A. Successor activity

Q. What is Dummy activity?

A. An activity which does not consume any kind of resources but merely depicts the technological dependence is called dummy activity.

Q. To disconnect an activity before the completion of all activities in a network diagram is known _________ error.

A. Dangling error

Q. The event marking start of an activity called ________event and the event marking the end is termed as ______event.

A. head/ tail

Q. A standard procedure called i-j rule for convenience labeling on a network diagram was developed by __________?

A. D.R.F Fulkerson

Q. CPM stands for?

A. Critical Path Method

Q. If value of total float for any activity is equal to zero, then one can draw conclusion that resources are _________

A. Just sufficient

Q. The difference between the latest and the earliest finish times of an activity is its ________ float

A. Total float

Q. What is critical path?

A. The longest path in the CPM network is called the critical path.

Q. What is optimistic time?

A. The shortest amount of time that could be required to complete the activity assuming that everything goes very well is known asOptimistic time.

Q. CPM is __________ oriented

A. Event

Q. The sum total of variances of critical activity times gives the ________of the overall project completion time.

A. variance

Q. The greatest amount of time that could be required to complete the activity if everything goes wrong is known as

A. Pessimistic time

Q. PERT Stands for?

A. Program evaluation and review technique

Q. A PERT chart uses circles or rectangles called ______ to represent project events

A. Nodes

 

Refrences:-

1.      ICAR E-course

2.      Online Quiz

3.      Previous year question papers

4.      NDRI class notes


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