### “Compounding the Losses of Convoyed Ships Attacked by Tactical Submarines”

**Authors:**Kåre M. Mjelde,

**Affiliation:**Det Norske Veritas (DNV)

**Reference:**1982, Vol 3, No 4, pp. 223-230.

**Keywords:**Defense analysis, differential games, numerical modeling

**Abstract:**It is demonstrated that a time dependent stochastic model for the losses of convoyed ships attacked by submarines can be applied in the determination of the losses in terms of the results of two submodels:.

PDF (1869 Kb) DOI: 10.4173/mic.1982.4.3

**References:**

[1] BROWN, R. H. (1963). Theory of combat : the probability of winning, Operations Research, 11, 418-425 doi:10.1287/opre.11.3.418

[2] CONNOLLY, B., SPRINGALL, A. (1967). The overall outcome of a certain Lanchester combat model, Interim Technical Report 67/1, Dept. of Statistics and Statistical Laboratory, Research Division, Virginia Polytechnic Institute.

[3] FALCONER, N. (1976). On the site of convoys: an example of the methodology of leading wartime OR scientists, Operational Research Quarterly, 27, 315-327.

[4] FELLER, W. (1966). An introduction to Probability Theory and its Applications, New York : Wiley.

[5] KOOPMAN, B.O. (1946). Search and screening, Operations Evaluation Group, Office of the Chief of Naval Operations, Washington D.C., OEG Report No. 56 ATI 64627.

[6] MJELDE, K. M. (1974). An analytical approach to a class of battles, Operations Research, 22, 93-99 doi:10.1287/opre.22.1.93

[7] MJELDE, K.M. (1975). On a supplementary time variable approach to battle analysis, Naval Research and Logistics Quarterly, 22, 189-196.

[8] MJELDE, K.M. (1977). An analytical minefield evaluation model without space averages, Naval Research and Logistics Quarterly, 24, 639-650.

[9] PRESCOTT, J., JENKINS, R. L. (1974). An improved fast Fourier transform, IEEE Transactions Acoustics, Speech and Signal Processing, 22, 226-227 doi:10.1109/TASSP.1974.1162566

[10] SMITH, D.G. (1965). The probability distribution of the number of survivors in a two-sided combat situation, Operational Research Quarterly, 16, 429-437.

[11] SPRINGALL, A. (1968). Contributions to Lanchester combat theory, Ph.D. Thesis, Virginia Polytechnic Institute, Blackburg.

[12] UHRICH, M.L. (1969). Fast Fourier transforms without sorting, IEEE Transactions on Audio and Electroacoustics, AU-17, 170-172 doi:10.1109/TAU.1969.1162038

**BibTeX:**

@article{MIC-1982-4-3,

title={{Compounding the Losses of Convoyed Ships Attacked by Tactical Submarines}},

author={Mjelde, Kåre M.},

journal={Modeling, Identification and Control},

volume={3},

number={4},

pages={223--230},

year={1982},

doi={10.4173/mic.1982.4.3},

publisher={Norwegian Society of Automatic Control}

};