A Branch-and-Price Algorithm for the Generalized. - A Branch-and-price Algorithm For The Generalized Assignment Problem

An Exact Method with Variable Fixing for Solving the.

In this paper, we consider a network of agents that has to self-assign a set of tasks while respecting resource constraints. One possible formulation is the Generalized Assignment Problem, where the goal is to find a maximum payoff while satisfying capability constraints. We propose a purely distributed branch-and-price algorithm to solve this problem in a cooperative fashion. Inspired by.Fixing for Solving the Generalized Assignment Problem Marius Posta Jacques A. Ferland Philippe Michelon. (12) introduces a branch-and-price method, in which the columns generated correspond to feasible assignments for an agent. This. An Exact Method with Variable Fixing for Solving the Generalized Assignment Problem CIRRELT-2011-17. 4. If.The Generalized Assignment Problem (GAP) is a classic scheduling problem with many applications. We propose a branch-and-cut-and-price for that problem featuring a stabilization mechanism to accelerate column generation convergence. We also propose ellipsoidal cuts, a new way of transforming the exact algorithm into a powerful heuristic, in.

The first problem that we address is the SGAP for which the processing time of a job on a machine is assumed to be stochastic. Even though the generalized assignment problem (GAP) has been solved using the BNP method, yet no study has been reported in the literature on the use of the BNP method for the solution of the SGAP.The Generalized Assignment Problem is a well-known NP-hard combinatorial optimization problem which consists of minimizing the assignment costs of a set of jobs to a set of machines satisfying capacity constraints. Most of the existing algorithms are of a Branch-and-Price type.

A Branch-and-price Algorithm For The Generalized Assignment Problem

I can't seem to find any literature on algorithms which can be used to solve a many-to-many generalized assignment problem (GAP), i.e. models where not only can more tasks be assigned to one agent, but multiple agents can also be assigned to one task (one-to-one and one-to-many AP's are discussed in a paper by Pentico).

Branch-and-Price Method for Stochastic Generalized Assignment Problem, Hospital Staff Scheduling Problem and Stochastic Short-Term Personnel Planning Problem Seon Ki Kim Abstract The work presented in this dissertation has been focused on exploiting the branch-and-price (BNP) method for the solution of various stochastic mixed integer.

The assignment problem is a special case of the transportation problem, which is a special case of the minimum cost flow problem, which in turn is a special case of a linear program. While it is possible to solve any of these problems using the simplex algorithm, each specialization has more efficient algorithms designed to take advantage of its special structure.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this paper we propose a Branch and Price algorithm for solving multi-period single-sourcing problems. In particular, we generalize a Branch and Price algorithm that was developed for the Generalized Assignment Problem (GAP) to a class of convex assignment problems.

The problem is formulated as a stochastic integer program with a penalty term associated with the violation of the resource constraints and is solved with a branch-and-price algorithm that combines column generation with branch and bound. To speed convergence, a stabilization procedure is included.

A new algorithm for the generalized assignment problem is presented that employs both column generation and branch-and-bound to obtain optimal integer solutions to a set partitioning formulation of the problem. The Generalized Assignment Problem (GAP) examines.

The multilevel generalized assignment problem (MGAP) is a variation of the generalized assignment problem, in which agents can execute tasks at different efficiency levels with different costs. We present a branch-and-price algorithm that is the first exact algorithm for the MGAP.

A branch-and-price algorithm to solve the molten iron allocation problem in iron and steel industry.. but the focus was not on the molten iron allocation problem.. M.W.P. SavelsberghA branch and price algorithm for the generalized assignment problem. Operations Research, 45 (6) (1997), pp. 831-841.

Stabilized Branch-and-cut-and-price for the Generalized.

The model implements a branch-and-price algorithm that solves a disaggregated formulation of the Generalized Assignment Problem (GAP) where columns represent feasible assignments of batches to machines. Column generation is applied at every node of the branch-and-bound tree.

Downloadable! This article presents algorithms for solving a special case of the vehicle routing problem (VRP). We define our proposed problem of a special VRP case as a combination of two hard problems: the generalized assignment and the vehicle routing problem. The different evolution (DE) algorithm is used to solve the problem. The recombination process of the original DE is modified by.

An approximation algorithm for a generalized assignment problem with small resource requirements. By J Aerts, J Korst and Frederik Spieksma.. We investigate a generalized assignment problem where the resource requirements are either 1 or 2. This problem is motivated by a question that arises when data blocks are to be retrieved from parallel.

Branch-and-Price for the Generalized Assignment Problem Description. The model implements a branch-and-price algorithm that solves a disaggregated formulation of the Generalized Assignment Problem (GAP) where columns represent feasible assignments of batches to machines. Column generation is applied at every node of the branch-and-bound tree.

A branch-and-price algorithm for the stochastic.

An Exact Method with Variable Fixing for Solving the.

Generalized Assignment for Multi-Robot Systems via.

Stabilized Branch-and-cut-and-price for the Generalized.