Linus Schrage


Brief Biography

Schrage Fellow Portrait

Linus Schrage is an Institute for Operations Research and Management Sciences Fellow and Impact Prize recipient. He is also a Distinguished Fellow of the Manufacturing and Service Operations Management Society. Schrage received his PhD from Cornell University in 1966. His dissertation on queueing models for a time-shared facility was supervised by William L. Maxwell.  

Schrage’s early research in the 1960s dealt largely with queueing models. Since 1980s, he has become well known for his work with Kevin Cunningham in developing optimization software. In 1979, He and Cunningham created LINDO, a software package for linear programming, integer programming, stochastic programming, and global optimization. In 1988, the duo developed LINGO, the first nonlinear programming software in the package. Five years later, a large scale nonlinear solver was added, allowing for users to not have to specific which solver to use. In the late 1990s and 2000s, Schrage published papers on measuring readiness in the military.

In 2008, Nicole DeHoratius of the University of Chicago, Adam J. Mersereau of the University of North Carolina, and Schrage co-authored an article on retail inventory management when records are inaccurate. The paper assumed that excess demands are lost and unobserved and show that a probability distribution on physical inventory levels is a sufficient summary of past sales. Their suggested replenishment policy was supported by simulation studies and revealed how significant costs could be recouped. The article was named the Best Paper of the Year in 2009 by the Manufacturing and Service Operations Management Society.

In 2012, INFORMS recognized eight individuals who played a major role in the development of algebraic modeling languages for optimization. Schrage and Cunningham were amount the group and were lauded for the development of the LINDO/LINGO software package as well as their accompanying publications on the subject.

Schrage has taught at Stanford University and has worked at the National Aeronautics and Space Administration. His visiting appointments include the University of California, Los Angeles, Pontificia Universidade Catolica do Rio de Janeiro, and Universite Catholqiue de Louvain. His most recently professorial position was at the University of Chicago’s Booth School of Business, where he is now Professor Emeritus of Operations Management. 

Other Biographies

The University of Chicago Booth School of Business. Faculty & Research Emeriti: Linus Schrage. Accessed May 7, 2015. (link


Cornell University, PhD 1966 (Mathematics Genealogy


Academic Affiliations
Non-Academic Affiliations
  • LINDO Systems, Inc. 
  • National Aeronautics and Space Administration

Key Interests in OR/MS

Application Areas

Awards and Honors

Institute for Operations Research and the Management Sciences Fellow 2006 

Manufacturing and Service Operations Management Distinguished Fellow 2009

Manufacturing and Service Operations Management Best Paper Award 2009

INFORMS Impact Prize 2012

Selected Publications

Kunreuther H. & Schrage L. (1973) Joint pricing and inventory decisions for constant priced items. Management Science, 19(7): 732-738.

Schrage L. (1975) Implicit representation of variable upper bounds in linear programming. Balinski M. L. & Hellerman E., eds. in Computational practice in Mathematical Programming, 4: 118-132. Springer: Berlin.

Schrage L. (1981) Formulation and structure of more complex/realistic routing and scheduling problems. Networks, 11(2): 229-232.

Pinedo M. & Schrage L. (1982) Stochastic Shop Ccheduling: A Survey. Springer Netherlands: Amsterdam.

Karmarkar U. S. & Schrage L. (1985) The deterministic dynamic product cycling problem. Operations Research, 33(2): 326-345.

Schrage L. E. (1989) User's Manual for Linear, Integer, and Quadratic Programming with LINDO. Scientific Press: New York.

Graves R. L., Sankaran J., & Schrage, L. (1993) An auction method for course registration. Interfaces, 23(5): 81-92.

Schrage L. (1997) Optimization Modeling with LINDO. Duxbury Press: Pacific Grove, CA. 

Menon S. & Schrage L. (2002) Order allocation for stock cutting in the paper industry. Operations Research, 50(2): 324-332.

DeHoratius N., Mersereau A. J., & Schrage L. (2008) Retail inventory management when records are inaccurate. Manufacturing & Service Operations Management, 10(2): 257-277.