Department of Statistics and Operations Research
University of North Carolina at Chapel Hill

 
Office: 322 Hanes Hall, UNC Campus 
Telephone: (919) 962-3837 
FAX: (919) 962-1279 
E-mail: vkulkarn@email.unc.edu
Mailing Address: 322 Hanes Hall,
CB 3260, UNC,
Chapel Hill, NC 27599-3180

 
Computer Performance Models, Internet Traffic Models,
Cogestion Models for Telecommunications Systems,  Stochastic Models for Supply Chain Management,
Queueing Systems,  Fluid Models,
Stochastic Processes.

         Stochastic Fluid-Flow Models for Control of Communication Networks, 
         Sept 1, 1994 to Aug 31, 1997, National Science Foundation.

         Outsourcing Warranty and Repair Services, Aug 15, 2002 to Jan 31, 2004,          National Science Foundation.
 

 
• Fluid Models with Jumps, with I. Adan and E. Tzenova, Stochastic Models, 21, No. 1, 37-55, 2005.
  
 

• Outsourcing Warranty Repairs: Dynamic Allocation, with M. Opp and K. Glazebrook,  NRLQ, 52, No. 5, 381-398, 2005

 
• Warranty Reserves for Non-stationary Sales Processes, with Shau-shiang Ja, Amit Mitra, and Jayprakash Patankar, NRLQ, 49, No. 5, 499-513, 2002.

 
• Stochastic Differential Equation for TCP Window Size: Analysis and Experimental Validation, with A. Budhiraja, F. Hern\'andez-Campos,and F. D. Smith,  PEIS, 17, 251-265, 2003.
  

 
• Single-Server Queue with Markov-Dependent Inter-arrival and Service Times, with I. Adan, QUESTA, 45, No. 2, 113-134, 2003

 
• Output Analysis of Multi-Class Fluid Queues: FCFS Service, with K. D. Glazebrook, Journal of Applied Probability,  39, 341-358, 2002.

 
• Optimal EOQ for Announced Price Increases in Infinite Horizon, with Wei Huang, and  Jayashankar M. Swaminathan, Operations Research, 51, No. 2, 331-336, 2003.

 
• Complete Listing.

 

• Managing Warranties and Warranty Reserves
• Fluid Queues with Jumps
• Outsourcing Among Competing Vendors
• Fluid Models in Inventory Control
  

• Jianzhe Luo, Queueing Models for Health care, expected 2011.
• Nomesh Bolia, Scheduling Algorithms for Wireless Networks, 2009
• Nan Liu, Appointment Scheduling in Health Care, 2009
• Liqiang Liu, Stochastic models of balking in call centers, 2007.
  
• Keqi Yan, EOQ analysis in systems with stochastic production and demands,  2006.
  
• Feng Chen, Admission control and routing in multi-priority systems, 2006.
  
• Wei Huang, Managing warranty services: pricing, inventory and outsourcing, 2005
  
• Pete Buczkowski, Managing warranties : funding a warranty reserve and outsourcing prioritized warranty repairs, 2004
  
• Michelle Opp, Outsourcing warranty repair services : static and dynamic allocation for a fixed population, 2003
  
• Elena Tzenova, An analytic approach to multi-class stochastic fluid models with static priorities, 2003.
• Yasutaka Hirasawa, Approximating traffic parameters in multi-class fluid networks,  2000.

STOR 215: Introduction to Decision Sciences
(Undergraduate Course)

STOR 415: Stochastic Models in OR
(Undergraduate Course)

STOR 641: Stochastic Models In Operations Research: I
(Graduate Course)

STOR 642: Stochastic Models in Operations Research: II
(Graduate Course) Spring 2001

Supply Chain Management
(Special Topics Course)

Stochastic Models in Telecommunications Systems
(Special Topics Course)

STOR 790: OR Student Seminar

 
Books

• Graduate Textbook:Modeling and Analysis of Stochastic Systems, Second Edition, CRC Press, 2010.

 
• Undergraduate Textbook:Modeling, Analysis, Design and Control of Stochastic Systems, Springer, 1998.

 
Software

• MAXIM: a collection of MATLAB programs to accompany the Undergraduate textbook. 
• MAXIMGUI: a graphical user interface to access the above files.

Patent

• Traffic Management in Packet Communications Networks, 1995, 

US Patent No. 5,434,848.

 
Prof. Vidyadhar Kulkarni received a B.Tech. from Indian Institute of Technology, Bombay, in Mechanical Engineering in 1976, and an MS and Ph.D. in Operations Research from Cornell University in 1980. He was a Visiting Assistant Professor in the College of Management, Georgia Institute of Technology in 1980-81.  He has been at the University of North Carolina since 1981. Currently he is the chairman of the department of Statistics and Operations Research. His areas of interest are stochastic models. He is the author of two textbooks on this topic.

Vitae (in pdf)