16 Result(s)
within
Antonio M. Rodríguez-Chía
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Article
The ordered median tree of hubs location problem
In this paper, we propose the Ordered Median Tree of Hub Location Problem (OMTHL). The OMTHL is a single-allocation hub location problem where p hubs must be placed on a network and connected by a non-directed tr...
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Chapter
Ordered Median Location Problems
This chapter analyzes the ordered median location problem in three different frameworks: continuous, discrete and networks; where some classical but also new results have been collected. For each solution spac...
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Article
Lexicographical Order in Integer Programming
Forcing lexicographical order in the solutions to an integer programming problem is a possible strategy to avoid symmetric solutions. An orbisack is the convex hull of the lexicographically ordered pairs of n-dim...
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Chapter
Location of Emergency Facilities with Uncertainty in the Demands
This work deals with the p-center problem, where the aim is to minimize the maximum distance between any customer with demand and his center, taking into account that each customer only has demand with a speci...
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Chapter
Location Problems with Multiple Criteria
This chapter analyzes multicriteria continuous, network, and discrete location problems. In the continuous framework, we provide a complete description of the set of weak Pareto, Pareto, and strict Pareto loca...
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Chapter
Ordered Median Location Problems
This chapter analyzes the ordered median location problem in three different frameworks: continuous, discrete and networks; where some classical but also new results have been collected. For each solution spac...
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Article
An overview of ORP \(^3\) -OR for young researchers and practitioners
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Article
A branch-and-cut algorithm for the maximum benefit Chinese postman problem
The Maximum Benefit Chinese Postman Problem (MBCPP) is an NP-hard problem that considers several benefits associated with each edge, one for each time the edge is traversed with a service. The objective is to ...
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Article
On discrete optimization with ordering
This paper studies discrete optimization problems with ordering requirements. These problems are formulated on general discrete sets in which there exists an ordering on their elements together with a cost fun...
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Article
Alternative formulations for the Set Packing Problem and their application to the Winner Determination Problem
An alternative formulation for the set packing problem in a higher dimension is presented. The addition of a new family of binary variables allows us to find new valid inequalities, some of which are shown to ...
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Article
On the structure of the solution set for the single facility location problem with average distances
This paper analyzes continuous single facility location problems where the demand is randomly defined by a given probability distribution. For these types of problems that deal with the minimization of average...
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Article
The ordered capacitated facility location problem
In this paper, we analyze flexible models for capacitated discrete location problems with setup costs. We introduce a major extension with regards to standard models which consists of distinguishing three diff...
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Article
New models for locating a moving service facility
In this paper we analyze a new location problem which is a generalization of the well-known single facility location model. This extension consists of introducing a general objective function and replacing fix...
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Chapter
MCDM Location Problems
In this chapter, we provide a broad overview of the most representative multicriteria location problems as well as of the most relevant achievements in this field, indicating the relationship between them when...
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Article
A flexible approach to location problems
When dealing with location problems we are usually given a set of existing facilities and we are looking for the location of one or several new facilities. In the classical approaches weights are assigned to ...
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Article
Location of a moving service facility
In this paper we consider the general question in the field of mathematics of whether some properties or algorithms that hold in finite dimension spaces also hold in function spaces. We answer this question c...
