An algorithm which recursively generates the complete family of undominated feasible solutions to separable nonlinear multidimensional knapsack problems is developed by exploiting discontinuity preserving properties of the maximal convolution. The "curse of dimensionality," which is usually...

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Mathematical programming models for nutrition planning in developing nations typically involve the optimization of a single criterion function subject to resource and nutritional constraints. The nutritional constraints specify that the amount available of each nutrient for human consumption...

Spatial equilibrium problems are frequently formulated as large scale quadratic programming problems or linear complementarity problems. We show that these problems can be reduced to two or more smaller problems with Generalized Benders Decomposition. The procedure then becomes iterative with...

This paper presents a successful application of integer programming to the scheduling of flight crews for a cargo airline. The crew planning process is discussed, the role of the set partitioning model is explained, and representative computational experience is reported. The success of this...

An algorithm is presented for the special integer linear program known as the set partitioning problem. This problem has a binary coefficient matrix, binary variables, and unit resources. Furthermore, all of its constraints are equations. In spite of its very special form, the set partitioning...

This paper deals with the mathematical programming aspects of a long range planning study done for the Flying Tiger Line, an all-cargo airline. The study addressed two strategic problems: the design of the service network and the selection and deployment of the aircraft fleet. We show how the...

The two duty period scheduling problem is an integer programming problem with 0-1 constraint coefficients. It is recognized that the problem can be reformulated as a one duty period problem with side constraints. Since the one duty period problem can be solved as a minimal cost network flow...