Roll Number
134197002
Category
EX
Topics for PhD Qualifiers
Compulsory Subject: (i) Optimisation Techniques, (ii) Stochastic Models
Elective 1: Discrete Event Simulation
Elective 2: Network Flows
I would like to appear for a oral exam for all the above four subjects.
Elective 1: Discrete Event Simulation
Elective 2: Network Flows
I would like to appear for a oral exam for all the above four subjects.
Elective1
Discrete Event Simulation - Monte carlo simulation,
Generation and testing of random numbers. Generation of random variates, random vectors, correlated random variates and stochastic processes.
Input modeling; useful probability distributions; hypothesizing families of distributions, estimation of parameters, testing goodness of fit.
Output data analysis for a single system; statistical analyses for transient systems.
Comparing alternative system configurations; confidence intervals, ranking and selection. Variance reduction techniques
Experimental design, sensitivity analysis and optimization
Generation and testing of random numbers. Generation of random variates, random vectors, correlated random variates and stochastic processes.
Input modeling; useful probability distributions; hypothesizing families of distributions, estimation of parameters, testing goodness of fit.
Output data analysis for a single system; statistical analyses for transient systems.
Comparing alternative system configurations; confidence intervals, ranking and selection. Variance reduction techniques
Experimental design, sensitivity analysis and optimization
Elective2
Network Flows - Shortest path problems, max flow problems, max flow min cut theorem, min cost flow problems, min spanning trees, matching problems.
PhD. Supervisor (if decided)
Prof. Narayan Rangaraj
Proposed Research Plan (if decided)
Real time rescheduling (allocation of tracks) for a large railway network having heterogeneous services considering macroscopic network infrastructure details