Petitioner: Employer. The Case. On May 01, 1989, the Supreme Court issued a 6-3 decision stating that the case of Price Waterhouse v. Hopkins (docket no. 87-1167) should be reversed and remanded and upholding the law in question [Civil Rights Act Of 1964 (Title VII)] as constitutional. The judgment rested on the Court's authority over statutory construction.
Integer Programming (IP) is a very powerful technique for tackling problems which have a mixture of continuous and discrete activities, notably those involving scheduling. Unlike Linear Programming (LP), IP cannot simply be treated as a black box.
For solutions in an integral domain like the ring of the integers, or in other algebraic structures, other theories have been developed, see Linear equation over a ring. Integer linear programming is a collection of methods for finding the best integer solution (when there are many).