Competitive Stats

Operations Research

100 questions across 8 topics. Also examined in CNET, ISS.

Practise Operations Research Filter in the bank

Linear Programming Problem, Simplex Method, Duality

Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)

179M/M/1 waiting probabilitiesMSET June 2025Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Hard
180Stationary distribution of M/M/1MSET June 2025Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Hard
180M/M/1 queue — computing the standard performance measuresMSET April 2024Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Hard
179M/M/1 — spotting the false relation among the standard formulasMSET March 2023Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy
180Traffic density for an M/M/3 systemMSET March 2023Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy
125M/M/1 — probability the server is idleMSET September 2021Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Medium
185M/G/1 — waiting time grows with service-time varianceMSET September 2021Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy
186A two-node Jackson network — solving the traffic equationsMSET September 2021Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Hard
125Doubling both arrival and service rates in M/M/1 halves the average waitMSET December 2020Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Medium
171No listed option correctly caps the M/M/K departure rate at kmuMSET December 2020Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Hard
125Squaring the traffic intensity lowers it, so the second queue is shorterMSET June 2019Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Medium
186The M/M/K departure rate caps at kmu — no printed option says soMSET June 2019Steady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy
75M/M/1: Ls=rho/(1-rho)MSET April 2017 Paper IISteady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy
142rho=0.6: P(2 in the system)=0.4times0.36=0.144MSET April 2017 Paper IIISteady-State Solutions of Markovian Queuing Models (M/M/1, M/M/C, M/G/1)Easy

Elementary Queuing and Inventory Models

Transportation and Assignment Problems

Dynamic and Integer Programming

Sequencing and Project Scheduling

Game Theory

Replacement Models