Research Article

Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit

Volume: 5 Number: 2 June 30, 2019
EN

Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit

Abstract

In this paper, we determine the order of the ports to be reached with the help of graph theory and establish Hamilton cycles. We obtain sub-solutions and solution sets with the help of these cycles. Moreover, we prove some relations about the draft limit and the demand of the port. Finally we present some examples.

Keywords

References

  1. Battara, M. Erdogan, G., Laporte G., jestvang, Vigo, D.(2010). The Traveling Salesman Problem with Pickups, Deliveries, and Handling Costs Transportation Science, 44(3): 383-99
  2. Cordeau, J-F, Iori, M., Laporte, G., Salazar Gonzalez, JJ. (2010). A branch and cut agorithm for the pickup and delivery traveling salesman problem with LIFO loading. Networks ; 55(1):46-59
  3. Fagerholt, K. and Christiansen, M. (2000). A traveling salesman problem with allocation, time window and precedence constraints - an application to ship scheduling. International Transactions in Operational Research, 7 , 231-244.
  4. Erdogan, G., Cordeau, J-F., Laporte G. (2009). The pickup and delivery traveling salesman problem with firs in first out loading. Computers & Operations Research, ; 36(6):1800-8
  5. Felipe, A., Ortuno, MT., Tirado, G. (2009). The double traveling salesman problem with multiple stacks: a variable neighborhood search approach. Computers & Operations Research, ; 36(11):2983-93
  6. Henning, F. (2010). Optimization in maritime transportation: crude oil tanker routing and scheduling. PhD thesis. Norwegian University of Science and Technology;Iori, M., Martello, S. (2010). Routing problems with loading constraints. TOP; 18(1):4-27
  7. Petersen, HL., Madsen OBG. (2009). The double traveling salesman problem with multiple stacks-formulation and heuristic solution approaches. European Journal of Operational Research ;198(1):139-47
  8. Rakke, J. G., Christiansen, M., Fagerholt, K. and Laporte, G. (2012). The traveling salesman problem with draft limits. Computers & Operations Research, 39 (9) , 2161-2167.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 30, 2019

Submission Date

May 7, 2019

Acceptance Date

May 26, 2019

Published in Issue

Year 2019 Volume: 5 Number: 2

APA
Mersin, K., & Nur, C. (2019). Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit. International Journal of Engineering Technologies IJET, 5(2), 78-83. https://izlik.org/JA54PX25CK
AMA
1.Mersin K, Nur C. Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit. IJET. 2019;5(2):78-83. https://izlik.org/JA54PX25CK
Chicago
Mersin, Kadir, and Cemile Nur. 2019. “Mathematical Model of the Traveling Salesman Problem With Delivery and Draft Limit”. International Journal of Engineering Technologies IJET 5 (2): 78-83. https://izlik.org/JA54PX25CK.
EndNote
Mersin K, Nur C (June 1, 2019) Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit. International Journal of Engineering Technologies IJET 5 2 78–83.
IEEE
[1]K. Mersin and C. Nur, “Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit”, IJET, vol. 5, no. 2, pp. 78–83, June 2019, [Online]. Available: https://izlik.org/JA54PX25CK
ISNAD
Mersin, Kadir - Nur, Cemile. “Mathematical Model of the Traveling Salesman Problem With Delivery and Draft Limit”. International Journal of Engineering Technologies IJET 5/2 (June 1, 2019): 78-83. https://izlik.org/JA54PX25CK.
JAMA
1.Mersin K, Nur C. Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit. IJET. 2019;5:78–83.
MLA
Mersin, Kadir, and Cemile Nur. “Mathematical Model of the Traveling Salesman Problem With Delivery and Draft Limit”. International Journal of Engineering Technologies IJET, vol. 5, no. 2, June 2019, pp. 78-83, https://izlik.org/JA54PX25CK.
Vancouver
1.Kadir Mersin, Cemile Nur. Mathematical Model of the Traveling Salesman Problem with Delivery and Draft Limit. IJET [Internet]. 2019 Jun. 1;5(2):78-83. Available from: https://izlik.org/JA54PX25CK

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