Maximization of objective function in an LP model means.

A. Value occurs at allowable set of decisions
B. Highest value is chosen among allowable decisions
C. Neither of above
D. Both a & b
✅ The correct answer is option A.
Maximization of objective function in an LP model means Value occurs at allowable set of decisions. Linear programming refers to choosing the best alternative from the available alternatives, whose objective function and constraint function can be expressed as linear mathematical functions.

While assigning random numbers in Monte Carlo simulation, it is?

A. Not necessary to assign the exact range of random number interval as the probability
B. Necessary to develop a cumulative probability distribution
C. Necessary to assign the particular appropriate random numbers
D. All of the above
✅ The correct answer is option B.
While assigning random numbers in Monte Carlo simulation, it is Necessary to develop a cumulative probability distribution. A cumulative probability refers to the probability that the value of a random variable falls within a specified range. Frequently, cumulative probabilities refer to the probability that a random variable is less than or equal to a specified value.

Key concept under which technique are network of events and activities , resource allocation, time and cost considerations, network paths and critical paths ?

A. Game Theory
B. Network Analysis
C. Decision Theory
D. None of the above
✅ The correct answer is option B.
Key concept under Network Analysis are network of events and activities , resource allocation, time and cost considerations, network paths and critical paths. Network analysis is any structured technique used to mathematically analyze a circuit (a “network” of interconnected components).

Analytical results are taken into consideration before a simulation study so as to.

A. Identify suitable values of the system parameters
B. Determine the optimal decision
C. Identify suitable values of decision variables for the specific choices of system parameters
D. All of the above
✅ The correct answer is option C.
Analytical results are taken into consideration before a simulation study so as to Identify suitable values of decision variables for the specific choices of system parameters. A true analytical result presumes an analytical procedure without systematic errors. They can be detected by comparing the analytical results with the true value or with an accepted reference.

The cost of providing service in a queuing system decreases with.

A. Decreased average waiting time in the queue
B. Decreased arrival rate
C. Increased arrival rate
D. None of the above
✅ The correct answer is option D.
In designing queueing systems we need to aim for a balance between service to customers (short queues implying many servers) and economic considerations (not too many servers).

Which technique is used in finding a solution for optimizing a given objective, such as profit maximization or cost minimization under certain constraints?

A. Quailing Theory
B. Waiting Line
C. Both A and B
D. Linear Programming
✅ The correct answer is option D.
Linear programming is a mathematical technique for solving constrained maximization and minimization problems when there are many constraints and the objective function to be optimized, as well as the constraints faced, are linear (i.e., can be represented by straight lines).

The transition matrix elements remain positive from one point to the next. This property is known as:

A. Steady-state property
B. Equilibrium property
C. Regular property
D. All of the above
✅ The correct answer is option C.
The transition matrix elements remain positive from one point to the next. This property is known as Regular property. A transition matrix (stochastic matrix) is said to be regular if some power of T has all positive entries.