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Chul E. Kim

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6 papers
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6

ICRA Conference 1985 Conference Paper

Movement coordination for single-track robot systems

  • Michael A. Langston
  • Chul E. Kim

We consider problems associated with the coordination of movement within a multiple robot system in which all motion is restricted to a single track. Our objective is to minimize the reconfiguration time, that is, the total time required to move a collection of robots from an initial to a goal configuration. We show that various models give rise to a wide range of problem complexities. For these problems we design and analyze optimization and approximation strategies.

FOCS Conference 1976 Conference Paper

Approximation Algorithms for some Routing Problems

  • Greg N. Frederickson
  • Matthew S. Hecht
  • Chul E. Kim

Several polynomial time approximation algorithms for some NP-complete routing problems are presented, and the worst-case ratios of the cost of the obtained route to that of an optimal are determined. A mixed-strategy heuristic with a bound of 9/5 is presented for the Stacker-Crane problem (a modified Traveling Salesman problem). A tour-splitting heuristic is given for k-person variants of the Traveling Salesman problem, the Chinese Postman problem, and the Stacker-Crane problem, for which a minimax solution is sought. This heuristic has a bound of e + 1 - 1/k, where e is the bound for the corresponding 1-person algorithm.

TCS Journal 1976 Journal Article

Finite automata with multiplication

  • Oscar H. Ibarra
  • Sartaj K. Sahni
  • Chul E. Kim

A finite automaton with multiplication (FAM) is a finite automaton with a register which is capable of holding any positive rational number. The register can be multiplied by any of a fixed number of rationals and can be tested for value 1. Closure properties and decision problems for various types of FAM's (e. g. two-way, one-way, nondeterministic, deterministic) are investigated. In particular, it is shown that the languages recognized by two-way deterministic FAM's are of tape complexity log n and time complexity n 3. Some decision problems related to vector addition systems are also studied.