Computer-supported negotiation of course content
Computers & Education
On a pair of job-machine assignment problems with two stages
Computers and Operations Research
On uniform k-partition problems
Discrete Applied Mathematics
Load balancing in project assignment
Computers and Operations Research
The balanced traveling salesmanproblem
Computers and Operations Research
An inverse model for the most uniform problem
Operations Research Letters
Minimum deviation and balanced optimization: A unified approach
Operations Research Letters
Lexicographic balanced optimization problems
Operations Research Letters
Operations Research Letters
Operations Research Letters
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Suppose we are given a finite set E, a family F of 'feasible' subsets of E and a real weight c(e) associated with every e@eE. We consider the problem of finding S@eF for which max {c(e)-c(e'): e, e' @eS} is minimized. In other words, the differenc value between the largest and smallest value used should be as small as possible. We show that if we can efficiently answer the feasibility question then we can efficiently solve the optimization problem. We specialize these results to assignment problems and thereby obtain on O(n^4) algorithm for 'balanced' assignment problems.