On the Pasture Territories Covering Maximal Grass

Haltar Damba (), Vladimir M. Tikhomirov () and Konstantin Y. Osipenko ()
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Haltar Damba: National University of Mongolia
Vladimir M. Tikhomirov: Moscow state University
Konstantin Y. Osipenko: ”MATI” - Russian State Technological University

A chapter in Optimization and Optimal Control, 2010, pp 449-461 from Springer

Abstract: Summary In this chapter we consider the so-called pasture territory problem, its basic elements, and some related extremal problems. We describe the pasture territory as a graph of a piecewise smooth and continuous function f(x, y) defined on a closed, connected domain of a plane. Considering extremal problems is related with finding the location of the nomadic residence, when the exploiting pasture territory has maximum grass mass, and finding the bound of the territory, when the place of the residence is fixed [1, 2, 5].

Keywords: pasture territory; herbage density; piecewise smoothness; non-negative measure; watering place; closure of a set; upper semi-continuity; convexity (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-89496-6_21

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DOI: 10.1007/978-0-387-89496-6_21

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