Podcast
Questions and Answers
What describes the feasible region in a Linear Programming Problem (LPP)?
What describes the feasible region in a Linear Programming Problem (LPP)?
- The area where all constraints are satisfied (correct)
- The area where both constraints and objective function conditions are not met
- The area where only the objective function has the maximum value
- The area where no constraints are applicable
Which of the following is NOT considered an assumption of Linear Programming Problems (LPP)?
Which of the following is NOT considered an assumption of Linear Programming Problems (LPP)?
- Optimism in decision making (correct)
- Linearity of relationships
- Additivity of constraints
- Non-negativity of constraints
In a transportation problem, if the total allocation is $m+n-1$, what does this imply about the problem's condition?
In a transportation problem, if the total allocation is $m+n-1$, what does this imply about the problem's condition?
- The transportation problem is bounded
- The transportation problem is degenerate (correct)
- The transportation problem does not have a solution
- The transportation problem is non-degenerate
Which method is primarily used to solve an Assignment problem?
Which method is primarily used to solve an Assignment problem?
In an M/M/1 queue, if the arrival rate $
abla$ is 5 customers per hour and the service rate $eta$ is 10 customers per hour, what is the utilization factor (p)?
In an M/M/1 queue, if the arrival rate $ abla$ is 5 customers per hour and the service rate $eta$ is 10 customers per hour, what is the utilization factor (p)?
inventory carrying costs only in activity durations.
inventory carrying costs only in activity durations.
Flashcards
Feasible Region
Feasible Region
The area in an LPP where all constraints are satisfied simultaneously. It represents all possible solutions that meet the problem's restrictions.
LPP Assumptions
LPP Assumptions
Linear Programming Problems (LPP) rely on these assumptions: Linearity of relationships, Additivity of constraints, Divisibility of decisions, and Non-negativity of constraints. These ensure the problem is solvable with LPP methods.
Degenerate Transportation Problem
Degenerate Transportation Problem
A transportation problem is degenerate if the total number of allocations (filled cells) is less than the total number of rows + columns -1. This can lead to complications in solving the problem.
Hungarian Method
Hungarian Method
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Utilization Factor (p) in M/M/1 Queue
Utilization Factor (p) in M/M/1 Queue
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Study Notes
Multiple Choice Questions (Section A)
- The feasible region in a Linear Programming Problem (LPP) encompasses all points where constraints are satisfied
- It's the area where the objective function achieves its maximum value
- The statements, "area where all constraints are satisfied" and "area where the objective function has maximum value only," describe the feasible region.
Assumptions of Linear Programming Problems (LPP)
- Linearity of relationships, additivity of constraints, and divisibility of decisions are all assumptions of LPP.
- Non-negativity of constraints is also a key assumption.
Transportation Problems
- A transportation problem is considered degenerate if the total allocation equals m + n - 1.
- Assignment problems are solved using the Hungarian Method.
Queueing Theory (M/M/1 Queue)
- Utilization factor (p) for an M/M/1 queue is calculated as: arrival rate / service rate
- In an M/M/1 queue, with an arrival rate of 5 customers per hour and a service rate of 10 customers per hour, the utilization factor is 0.5.
Economic Order Quantity (EOQ)
- If the order quantity is doubled in a basic EOQ model, the holding cost increases by half.
PERT (Program Evaluation and Review Technique)
- Activity durations in PERT are often probabilistic.
Critical Path Method (CPM)
- The critical path in a CPM network determines the minimum project duration.
Zero-Sum Two-Person Games
- In zero-sum two-person games, the sum of profit and loss is always zero.
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Description
Test your understanding of Linear Programming Problems (LPP), including feasible regions and assumptions. This quiz also covers concepts related to Transportation Problems and Queueing Theory, specifically the M/M/1 queue model. Challenge yourself with questions that explore these critical operations research topics.
