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Bi‐objective missile rescheduling for a naval task group with dynamic disruptions

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  • Ahmet Silav
  • Orhan Karasakal
  • Esra Karasakal

Abstract

This paper considers the rescheduling of surface‐to‐air missiles (SAMs) for a naval task group (TG), where a set of SAMs have already been scheduled to intercept a set of anti‐ship missiles (ASMs). In missile defense, the initial engagement schedule is developed according to the initial state of the defensive and attacking units. However, unforeseen events may arise during the engagement, creating a dynamic environment to be handled, and making the initial schedule infeasible or inefficient. In this study, the initial engagement schedule of a TG is assumed to be disrupted by the occurrence of a destroyed ASM, the breakdown of a SAM system, or an incoming new target ASM. To produce an updated schedule, a new biobjective mathematical model is formulated that maximizes the no‐leaker probability value for the TG and minimizes the total deviation from the initial schedule. With the problem shown to be NP‐hard, some special cases are presented that can be solved in polynomial time. We solve small size problems by the augmented ϵ‐constraint method and propose heuristic procedures to generate a set of nondominated solutions for larger problems. The results are presented for different size problems and the total effectiveness of the model is evaluated.

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  • Ahmet Silav & Orhan Karasakal & Esra Karasakal, 2019. "Bi‐objective missile rescheduling for a naval task group with dynamic disruptions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 596-615, October.
    • Handle: RePEc:wly:navres:v:66:y:2019:i:7:p:596-615
    DOI: 10.1002/nav.21867
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    1. Cha, Young-Ho & Kim, Yeong-Dae, 2010. "Fire scheduling for planned artillery attack operations under time-dependent destruction probabilities," Omega, Elsevier, vol. 38(5), pages 383-392, October.
    2. Samuel Matlin, 1970. "A Review of the Literature on the Missile-Allocation Problem," Operations Research, INFORMS, vol. 18(2), pages 334-373, April.
    3. K. D. Glazebrook & C. Kirkbride & H. M. Mitchell & D. P. Gaver & P. A. Jacobs, 2007. "Index Policies for Shooting Problems," Operations Research, INFORMS, vol. 55(4), pages 769-781, August.
    4. Orhan Karasakal & Levent Kandiller & Nur Evin Özdemirel, 2011. "A branch and bound algorithm for sector allocation of a naval task group," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(7), pages 655-669, October.
    5. Gad Manor & Moshe Kress, 1997. "Optimality of the greedy shooting strategy in the presence of incomplete damage information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(7), pages 613-622, October.
    6. Ravindra K. Ahuja & Arvind Kumar & Krishna C. Jha & James B. Orlin, 2007. "Exact and Heuristic Algorithms for the Weapon-Target Assignment Problem," Operations Research, INFORMS, vol. 55(6), pages 1136-1146, December.
    7. Gerald G. Brown & Robert F. Dell & R. Kevin Wood, 1997. "Optimization and Persistence," Interfaces, INFORMS, vol. 27(5), pages 15-37, October.
    8. Alexandra M. Newman & Richard E. Rosenthal & Javier Salmerón & Gerald G. Brown & Wilson Price & Anton Rowe & Charles F. Fennemore & Robert L. Taft, 2011. "Optimizing assignment of Tomahawk cruise missile missions to firing units," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 281-294, April.
    9. Ojeong Kwon & Kyungsik Lee & Donghan Kang & Sungsoo Park, 2007. "A branch‐and‐price algorithm for a targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 732-741, October.
    10. Alan S. Manne, 1958. "A Target-Assignment Problem," Operations Research, INFORMS, vol. 6(3), pages 346-351, June.
    11. K. C. Shumate & G. T. Howard, 1974. "A proportional defense model," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(1), pages 69-78, March.
    12. Stefan A. Burr & James E. Falk & Alan F. Karr, 1985. "Integer Prim-Read Solutions to a Class of Target Defense Problems," Operations Research, INFORMS, vol. 33(4), pages 726-745, August.
    13. Nicholas G. Hall & Chris N. Potts, 2004. "Rescheduling for New Orders," Operations Research, INFORMS, vol. 52(3), pages 440-453, June.
    14. Bao U. Nguyen & Peter A. Smith & Du Nguyen, 1997. "An engagement model to optimize defense against a multiple attack assuming perfect kill assessment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(7), pages 687-697, October.
    15. Brian C. Dean & Michel X. Goemans & Jan Vondrák, 2008. "Approximating the Stochastic Knapsack Problem: The Benefit of Adaptivity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 945-964, November.
    16. Gerald G. Brown & Kelly J. Cormican & Siriphong Lawphongpanich & Daniel B. Widdis, 1997. "Optimizing submarine berthing with a persistence incentive," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 301-318, June.
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    1. Ahmet Silav & Esra Karasakal & Orhan Karasakal, 2022. "Bi-objective dynamic weapon-target assignment problem with stability measure," Annals of Operations Research, Springer, vol. 311(2), pages 1229-1247, April.

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