Course Title:
			
				Probabilistic Operation Research
			
		 
		
			Course Description:
			
				Introduces the theory and use of stochastic models to represent industrial operations. Topics include discrete-state Markov chains and applications, state transitions and properties, first passage probabilities, steady-state analysis; absorbing chains and absorption probabilities; introduction to continuous-time Markov chains, transition rates and steady-state analysis; basic elements of queuing systems, birth-and-death process, and special cases; steady-state analysis of simple queuing models including M/M/s, M/M/s/K, M/M/s/N/N and their special cases; and queuing models involving nonexponential distributions.
			
		 
		 
		
			Fall Offering:
			
				
			
			Lab/Coreq 1:
			
				
			
		 
		
			Spring Offering:
			
				
			
			Lab/Coreq 2:
			
				
			
		 
		
			Summer Offering:
			
				
			
			Lab/Coreq Remarks:
			
				
			
		 
		
			Summer 1 Offering:
			
				
			
			Prerequisite 1:
			
				IEM G200
			
		 
		
			Summer 2 Offering:
			
				
			
			Prerequisite 2:
			
				
			
		 
		
			Cross-Listed Course 1:
			
				
			
			Prerequisite 3:
			
				
			
		 
		
			Cross-Listed Course 2:
			
				
			
			Prerequisite 4:
			
				
			
		 
		
		
			Cross-Listed Course 3:
			
				
			
			Prerequisite 5:
			
				
			
		 
		
		
			Cross-Listed Course 4:
			
				
			
			Prerequisite Remarks:
			
				
			
		 
		
		
			Cross-Listed Course 5:
			
				
			
			Repeatable:
			
				N