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Approximation algorithms for the capacitated traveling salesman problem with pickups and deliveries

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  • Shoshana Anily
  • Julien Bramel

Abstract

We consider the Capacitated Traveling Salesman Problem with Pickups and Deliveries (CTSPPD). This problem is characterized by a set of n pickup points and a set of n delivery points. A single product is available at the pickup points which must be brought to the delivery points. A vehicle of limited capacity is available to perform this task. The problem is to determine the tour the vehicle should follow so that the total distance traveled is minimized, each load at a pickup point is picked up, each delivery point receives its shipment and the vehicle capacity is not violated. We present two polynomial‐time approximation algorithms for this problem and analyze their worst‐case bounds. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 654–670, 1999

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  • Shoshana Anily & Julien Bramel, 1999. "Approximation algorithms for the capacitated traveling salesman problem with pickups and deliveries," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 654-670, September.
    • Handle: RePEc:wly:navres:v:46:y:1999:i:6:p:654-670
    DOI: 10.1002/(SICI)1520-6750(199909)46:63.0.CO;2-A
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    References listed on IDEAS

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    1. Kemal Altinkemer & Bezalel Gavish, 1990. "Technical Note—Heuristics for Delivery Problems with Constant Error Guarantees," Transportation Science, INFORMS, vol. 24(4), pages 294-297, November.
    2. M. Haimovich & A. H. G. Rinnooy Kan, 1985. "Bounds and Heuristics for Capacitated Routing Problems," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 527-542, November.
    3. Mosheiov, Gur, 1994. "The Travelling Salesman Problem with pick-up and delivery," European Journal of Operational Research, Elsevier, vol. 79(2), pages 299-310, December.
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    3. Hipólito Hernández-Pérez & Juan-José Salazar-González, 2004. "Heuristics for the One-Commodity Pickup-and-Delivery Traveling Salesman Problem," Transportation Science, INFORMS, vol. 38(2), pages 245-255, May.
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    5. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2020. "A green delivery-pickup problem for home hemodialysis machines; sharing economy in distributing scarce resources," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).

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