A Fast 4-Approximation Algorithm for the Traveling Repairman Problem on a Line

被引:0
|
作者
Perez Perez, S. L. [1 ,3 ]
Urban Riverol, L. E. [1 ]
Lopez Bracho, R. [2 ]
Zaragoza Martinez, F. J. [2 ]
机构
[1] UAM Azcapotzalco, Posgrad Optimizac, Mexico City, DF, Mexico
[2] UAM Azcapotzalco, Dept Sistemas, Mexico City, DF, Mexico
[3] UAM Cuajimalpa, Dept Tecnol Informac, Mexico City, DF, Mexico
来源
2014 11TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATIC CONTROL (CCE) | 2014年
关键词
Traveling repairman problem; scheduling problem; unit time windows; approximation algorithm; SPEEDING DELIVERYMAN PROBLEMS; TIME WINDOWS; APPROXIMATION ALGORITHMS; SALESMAN;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The traveling repairman problem is a scheduling problem in which a repairman is supposed to visit some customers at their locations to perform some jobs. Each customer has a time window during which the repairman is allowed to arrive to perform the jobs. The goal is to maximize the number of visited locations. In this work we deal with a special case in which the locations are on a line, the processing time of each job is zero, and the time window length is unitary. Although the general TRP is NP-Hard, the complexity of this special case remains unknown. We introduce a quadratic 4-approximation algorithm based on the 8-approximation algorithm proposed in 2005 by R. Bar-Yehuda, G. Even, and S. Shahar.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] The matching augmentation problem: a 7/4-approximation algorithm
    Cheriyan, J.
    Dippel, J.
    Grandoni, F.
    Khan, A.
    Narayan, V. V.
    MATHEMATICAL PROGRAMMING, 2020, 182 (1-2) : 315 - 354
  • [2] A DYNAMIC-PROGRAMMING ALGORITHM FOR THE TRAVELING REPAIRMAN PROBLEM
    YANG, CE
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 1989, 6 (02) : 192 - 206
  • [3] Memetic algorithm for the multiple traveling repairman problem with profits
    Lu, Yongliang
    Benlic, Una
    Wu, Qinghua
    Peng, Bo
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2019, 80 : 35 - 47
  • [4] SIMULATION OF A TRAVELING REPAIRMAN PROBLEM
    GREEN, CJ
    IEEE TRANSACTIONS ON SYSTEMS SCIENCE AND CYBERNETICS, 1968, SSC4 (04): : 409 - &
  • [5] Approximation algorithms for the a priori traveling repairman
    Navidi, Fatemeh
    Li Gortz, Inge
    Nagarajan, Viswanath
    OPERATIONS RESEARCH LETTERS, 2020, 48 (05) : 599 - 606
  • [6] THE COMPLEXITY OF THE TRAVELING REPAIRMAN PROBLEM
    AFRATI, F
    COSMADAKIS, S
    PAPADIMITRIOU, CH
    PAPAGEORGIOU, G
    PAPAKOSTANTINOU, N
    RAIRO-INFORMATIQUE THEORIQUE ET APPLICATIONS-THEORETICAL INFORMATICS AND APPLICATIONS, 1986, 20 (01): : 79 - 87
  • [7] The A Priori Traveling Repairman Problem
    van Ee, Martijn
    Sitters, Rene
    ALGORITHMICA, 2018, 80 (10) : 2818 - 2833
  • [8] A note on the traveling repairman problem
    García, A
    Jodrá, P
    Tejel, J
    NETWORKS, 2002, 40 (01) : 27 - 31
  • [9] The A Priori Traveling Repairman Problem
    Martijn van Ee
    René Sitters
    Algorithmica, 2018, 80 : 2818 - 2833
  • [10] A 4-Approximation Algorithm for Min Max Correlation Clustering
    Heidrich, Holger
    Irmai, Jannik
    Andres, Bjoern
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 238, 2024, 238