Method for solving a convex integer programming problem
We consider a convex integer program which is a nonlinear version of the assignment problem. This problem is reformulated as an equivalent problem. An algorithm for solving the original problem is suggested which is based on solving the simple assignment problem via some of known algorithms.
Stefan M. Stefanov
wiley +1 more source
Quasi-stability of a vector trajectorial problem with non-linear partial criteria [PDF]
Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained.
Vladimir A. Emelichev +1 more
doaj
Formulations and algorithms for the recoverable Γ-robust knapsack problem
One of the most frequently occurring substructures in integer linear programs (ILPs) is the knapsack constraint. In this paper, we study ways to deal with uncertainty in the coefficients of such constraints.
Christina Büsing +3 more
doaj +1 more source
Network flow optimization for restoration of images
The network flow optimization approach is offered for restoration of gray‐scale and color images corrupted by noise. The Ising models are used as a statistical background of the proposed method. We present the new multiresolution network flow minimum cut algorithm, which is especially efficient in identification of the maximum a posteriori (MAP ...
Boris A. Zalesky
wiley +1 more source
This paper suggests a method of formulating any nonlinear integer programming problem, with any number of constraints, as an equivalent single constraint problem, thus reducing the dimensionality of the associated dynamic programming problem.
Balasubramanian Ram, A. J. G. Babu
wiley +1 more source
On quasistability of a vector combinatorial problem with \Sigma-MINMAX and \Sigma-MINMIN partial criteria [PDF]
We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set. Under quasistability we understand a discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the ...
Vladimir A. Emelichev +2 more
doaj
Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and l∞ metrics [PDF]
In this paper we consider a vector integer programming problem with Pareto principle of optimality for the case where partial criteria belong to the class of separable piecewise linear functions. The limit level of the initial data's perturbations in the
Vladimir A. Emelichev +2 more
doaj
An improved cut-and-solve algorithm for the single-source capacitated facility location problem
In this paper, we present an improved cut-and-solve algorithm for the single-source capacitated facility location problem. The algorithm consists of three phases.
SuneLauth Gadegaard +2 more
doaj +1 more source
On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium) [PDF]
A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions.
Sergey E. Bukhtoyarov +1 more
doaj
The generalized directed rural postman problem is an arc routing problem with many interesting real-life applications, such as routing for meter reading. In this application, a vehicle with a receiver travels through a series of neighborhoods.
Thais Ávila +3 more
doaj +1 more source

