Yerim Chung

On inverse traveling salesman problems

The inverse traveling salesman problem belongs to the class of “inverse combinatorial optimization” problems. In an inverse combinatorial optimization problem, we are given a feasible solution for an instance of a particular combinatorial optimization problem, and the task is to adjust the instance parameters as little as possible so that the given solution becomes optimal in the new instance. In this paper, we consider a variant of the inverse traveling salesman problem, denoted by ITSPW,A, by taking into account a set W of admissible weight systems and a specific algorithm. We are given an edge-weighted complete graph (an instance of TSP), a Hamiltonian tour (a feasible solution of TSP) and a specific algorithm solving TSP. Then, ITSPW,A, is the problem to find a new weight system in W which minimizes the difference from the original weight system so that the given tour can be selected by the algorithm as a solution. We consider the cases

A Simulation Analysis of R.O.K Navy's Inventory Management Model for Repairable Parts

{W \in \{\mathbb{R}^{+m}, \{1, 2\}^m , \Delta\}}

On Inverse Chromatic Number problems (Extended abstract)

where Δ denotes the set of edge weight systems satisfying the triangular inequality and m is the number of edges. As for algorithms, we consider a local search algorithm 2-opt, a greedy algorithm closest neighbor and any optimal algorithm. We devise both complexity and approximation results. We also deal with the inverse traveling salesman problem on a line for which we modify the positions of vertices instead of edge weights. We handle the cases

Notes on inverse bin-packing problems

{W \in \{\mathbb{R}^{+n}, \mathbb{N}^n\}}

Inverse chromatic number problems in interval and permutation graphs

where n is the number of vertices.

Inverse Bin-Packing Number Problems: Polynomially Solvable Cases

Abstract Usual inverse combinatorial optimization problems consist in modifying as little as possible the instance parameters to make a given solution optimal. In this paper we consider several extensions taking into account constraints on the weight system and inverse problems against a specific algorithm. We consider TSP under this point of view and devise both complexity and approximation results.