DeWayne W. Lake, 55, a systems analyst and operations research analyst with the Army Department for 14 years before retiring earlier this year, died Monday at his home in Silver Spring. He had cancer.

He was working in the concepts analysis agency of the Department of the Army at the time he retired for reasons of health in February. He received an Outstanding Performance Award from the Army in 1970.

Mr. Lake was a native of Ponca City, Okla., and a 1956 graduate of the University of Oklahoma. He served in the Navy during World War II and the Korean War. He earned a master's degree at Northern Illinois University.

He worked as a designer with the Univac division of the Remington-Rand Corporation in St. Paul, Minn., and taught statistics at the University of Minnesota before joining the Department of the Army in the mid-1960s. He worked for the Army in Joliet, Ill., and was transferred to the Washington area in 1968.

In addition to his work with the Army, Mr. Lake had taught courses in computer sciences at the Rockville campus of Montgomery College.

Survivors include his wife, Dean, of Silver Spring; two daughters, Kristin and Paula, both of Wheaton; three sons, David of Middletown, Md., Philip of Wheaton, and Mitchell of Vienna; his mother, Lillian Lake, and two brothers, John and Clyde, all of Ponca City, and one grandchild.