THE MAXIMUM CAPTURE OR “SPHERE OF INFLUENCE” LOCATION PROBLEM: HOTELLING REVISITED ON A NETWORK*

ABSTRACT. The problem of the ice cream vendor on the beach is extended to the siting of multiple entering servers into the midst of existing servers which are already in place at multiple sites on a network. The network of population nodes, joining arcs, and eligible sites for servers provides the underlying matrix of the problem. The goal of the single firm which is siting the multiple entering servers is the capture of the maximum population from existing servers. This combinatorial problem can be described as a linear integer program for which solutions can easily be derived. Computational experience and insights derived therefrom are reported.     

Reviews

DYNAMICS OF WORLD POLITICS: STUDIES IN THE RESOLUTION OF INTERNATIONAL CONFLICT. Linda B. Miller (ed.). Prentice‐Hall, 1968. Pp. viii + 294. $5.40.

THE UNITED NATIONS AND UNITED STATES SECURITY POLICY. Ruth B. Russell. The Brookings Institution, Washington, D.C., 1968. Pp. ix + 510. $10.00 (U.S.).

THE POLITICS OF PEACE‐KEEPING. Alan James. Studies in International Security: 12. Chatto & Windus, London, for The Institute for Strategic Studies, 1969. Pp. 452. £.3.3.0.

INTERNATIONAL INFORMATION CENTER ON PEACE‐KEEPING OPERATIONS MONOGRAPHS NOS. 6–8. Paris, 1968. $1.00 each.

No. 6 CHARACTERISTICS AND SOME ASPECTS OF LAUNCHING U.N. PEACE‐KEEPING FORCES. Lieut.‐General P. S. Gyani. Pp. 13.

No. 7 PEACE‐KEEPING AND SELF‐DEFENCE. Dr Kjell Goldmann. Pp. 60.

No. 8 THE AUTHORIZATION OF PEACE‐KEEPING OPERATIONS IN TERMS OF THE NATURE OF THE CONFLICT. Albert Legault. Pp. 62

CANADA AND THREE CRISES. Robert W. Reford. Toronto, Canadian Institute of International Affairs, 1968. Pp. xii + 246. $5.00 (Canadian).

SYSTEMS, STATES, DIPLOMACY AND RULES. J. W. Burton. Cambridge University Press, 1968. Pp. xii + 251. $7 (U.S.).

GERMAN FOREIGN POLICY IN TRANSITION. BONN BETWEEN EAST AND WEST. Karl Kaiser. Issued under the joint auspices of the Harvard University Center for International Affairs, the Twentieth Century Fund's ‘Tocqueville Series’ and the Royal Institute of International Affairs. London, Oxford University Press, Oxford Paperbacks No. 159, 1968. Pp. x + 153. $2.00.

PEOPLE'S WAR. THE CONDITIONS AND THE CONSEQUENCES IN CHINA AND IN SOUTH‐EAST ASIA. J. L. S. Girling. London, Allen and Unwin, 1969. Pp. 244. $6.65.

ASIAN CONTRACT LAW. David Allan (General Editor). Melbourne University Press, 1969. Pp. xiii + 237. $9.60.

MODERN FEDERALISM. G. F. Sawer. The New Thinker's Library, No. 29. London, C. A. Watts & Co., 1969. Pp. 204. 15/‐ (U.K.).