OPTIMALITY OF RECYCLING AND THE LOCATION OF A RECYCLING CENTER

ABSTRACT. Consider a community investigating the integration of recycling into its waste management program. Even if (1) the county's citizens do not gain utility from recycling, (2) landfill space is plentiful, and (3) the market price for recyclables is zero, recycling can still be optimal for a local government. By determining the relationship between the amount of recycling and the location of a recycling center, conditions are identified under which recycling will reduce total waste management costs enough that municipal recycling will be optimal. In addition, it is shown that the likelihood of municipal recycling increases with the size of the city.     

OBNOXIOUS FACILITY LOCATION IN THE INTERIOR OF A PLANAR NETWORK*

ABSTRACT. The problem of locating a point that is as far as possible from arcs and nodes of a network is investigated. Each arc or node may have a different multiplicative factor (weight) for its distance. A graphical solution approach, as well as a computational algorithm, is presented.     

THE MINIMAX-MIN LOCATION PROBLEM*

We consider a new objective function for the placement of a public facility with reference to variations in accessibility : the minimization of the range between the maximal and the minimal distances to users. Some properties of the solution are given; algorithms for the Euclidean and rectilinear distance cases are presented.     

UNDERSTANDING SPATIAL INERTIA: CENTER OF GRAVITY,POPULATION DENSITIES,THE WEBER PROBLEM,AND GRAVITY POTENTIAL*

ABSTRACT. In this paper we attempt to clarify the theoretical links between the concepts of “center of gravity” and “point of maximum population density” which describe the present, and the concepts of “minimum of the comprehensive Weber problem” and “maximum comprehensive gravity potential” which guide the future. Critical values of the characteristic parameters of the relevant functions are estimated. Implications for the understanding of spatial inertia are discussed.     

MARKET CAPTURE BY TWO COMPETITORS: THE PREEMPTIVE LOCATION PROBLEM*

ABSTRACT. We consider a location and allocation game for two competitor firms, A and B, that each seek to locate p facilities in a network. A market is captured by a particular firm if that market's closest facility belongs to that firm rather than a competitor. The question is as follows: Firm A wants to locate its p facilities so that B, which enters also with p facilities after Firm A has located its facilities, will capture the minimum market value possible. That is, Firm A wishes to preempt Firm B in its bid to capture market share to the maximum extent possible. A model is presented that addresses this issue, together with solution methods and computing times.     

NETWORK EQUILIBRIUM MODELS OF URBAN LOCATION AND TRAVEL CHOICES: A RETROSPECTIVE SURVEY*

ABSTRACT The origins and development of the network equilibrium problem are traced and interrelated. Two principal formulations are considered the network equilibrium problem with variable travel demand, and the combined model of trip distribution and traffic assignment. The relation of these models to subsequent developments concerning mode choice, residential location, estimation of origin-destination tables from link flows and stochastic route choice are then reviewed.     

THE RELATIONSHIP BETWEEN THE LOCATION OF SERVICES AND RURAL SETTLEMENT

Soviet planners are advised to consider the linkage between rural settlement patterns and the provision of services, an issue that is assuming particular significance in connection with the present development program in the Nonchernozem Zone of the RSFSR. The number of service establishments per 1,000 population is not considered a useful indicator because it tends to be high in areas with widely dispersed settlement in small inhabited places, and yet does not reflect a high level of services because of the small size of the establishments. It is desirable to cluster sets of services in central places; the presence of a single kind of service (store, school, etc.) in a small place is found tantamount to having no service whatever. Adequate provision of services is found to reduce, or even reverse, rural out-migration.     

THE MOSES-PREDOHL PULL AND THE LOCATION DECISION OF THE FIRM*

ABSTRACT This paper exploits the two-stage approach and the envelope theorem to examine the role of the Moses-Predhol pull in the cost-minimizing location theory of the firm. It shows that the two-stage approach introduces the Moses-Predohl pull into the first-order conditions. The Moses-Predohl pull is shown to be equal to zero through the envelope theorem. These results show why the assertions of Bossert and Buhl (1986) concerning Kusumoto (1984,1985) are incorrect.