Rendezvous search on the line with bounded resources: Expected time minimization

European Journal of Operational Research

Volumn 101, Issue 3, 1997, Pages 588-597

  Alpern, Steve ^a   Beck, Anatole ^a,b  

^a LONDON SCHOOL OF ECONOMICS   (United Kingdom)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; OPTIMIZATION; PROBABILITY; RESOURCE ALLOCATION; TIME DOMAIN ANALYSIS;

BOUNDED RESOURCES;

GAME THEORY;

EID: 0031223743     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00192-0     Document Type: Article

References (19)

1. Alpern, S. (1995), "The rendezvous search problem", SIAM Journal of Control and Optimization 33/3, 673-683.
2. Alpern, S., and Gal, S. (1995), "Rendezvous search on the line with distinguishable players", SIAM Journal of Control and Optimization 33/4, 1270-1276.
3. Anderson, E.J., and Essegaier, S. (1995), "Rendezvous search on the line with indistinguishable players", SIAM Journal of Control and Optimization 33, 1637-1642.
4. Anderson, E.J., and Weber, R.R. (1990), "The rendezvous problem on discrete locations", Journal of Applied Probability 28, 839-851.
5. Baston, V.J., "The two player rendezvous value on the line", preprint.
6. Beck, A. (1964), "On the linear search problem", Israel Jounal of Mathematics 2, 221-228.
7. Bruce, F.T., and Robertson, J.B. (1988), "A survey of the linear search problem", Math. Scientist 13, 75-89.
8. Foley, R.D., Hill, T.P., and Spruill, M.C. (1991), "Linear search with bounded resources", Naval Research Logistics 38, 555-565.
9. Gal, S. (1980), Search Games, Academic Press, New York.
10. Hassin, R., and Tamir, A. (1992), "Minimal length curves that are not embeddable in an open planar set: The problem of a lost swimmer with a compass", SIAM Journal of Control and Optimization 30/3, 695-703.
11. Lim, W.S., and Alpern, S. (1996), "Minimax rendezvous on the line", SIAM Journal of Control and Optimization 34/5, 1650-1665.
12. Lim, W.S., Alpern, S., and Beck, A., "Rendezvous search on the line with more than two players", Operations Research, in press.
13. Reyniers, D.J. (1995), "Coordinating two searchers for an object hidden on an interval", J.O.R.S. 46, 1386-1392.
14. Reyniers, D.J. (1996), "Coordinating two searchers for an object hidden exponentially on the line", European Journal of Operational Research, in press.
15. Royden, H.L. (1968), Real Analysis, 2nd edn., Macmillan, New York.
16. Ruckle, W.H. (1983), Geometric Games and their Applications, Pitman, Boston, MA.
17. Schelling, T. (1960), The Strategy of Conflict, Harvard University Press, Cambridge.
18. Thomas, L.C. (1992), "Finding your kids when they are lost", J.O.R.S. 43, 637-639.
19. Thomas, L.C., and Hulme, P.B. (1993), "Searching for targets who want to be found", preprint.