A computer assisted school bus routing strategy: A case study

The effect of routing changes on the efficiency of suburban-rural pupil transportation systems is demonstrated in a case study of a suburban-rural county in Virginia. A computer assisted routing method was used that included manual route design and computer aided route evaluation. Various policy options affecting routing were identified and new routes were developed. The recommended routes represented a 17% reduction in the number of routes required, a 19% reduction in the number of buses required, and a 57% reduction in the total number of vacant seats. While the computer assisted method used produced a more efficient routing structure, the process of manual route design was still slow and tedious. Techniques such as interactive computer graphics appear to be suited to the school bus routing problem and their use should be explored.     

Options,premium contracts,and the EOE

Summary The article examines the development of options trading in Amsterdam from the seventeenth century to the present time. It shows how the market for traditional options, or premium contracts, was restricted by a number of limitations and how a new form of option — the exchange traded option, and a new options market — the European Options Exchange (E.O.E.), were introduced to overcome these limitations. It examines the first two years of operation of the E.O.E., analyzes some of the problems faced by the E.O.E., and looks at the future development of this new market.     

Investment Management and Risk Sharing with Multiple Managers

This paper addresses the investor's decision to employ multiple managers for the management of investment funds. Under conditions such that specialization of managers and diversification among managers are not motives for the use of multiple managers, the paper shows that risk sharing considerations may be sufficient. A model is developed in which the decision to use multiple managers is explicitly treated, and conditions are studied such that an increase or decrease in the number of managers would be desirable. Under some conditions, a multiple manager solution is preferred over a single manager solution.     

Some notes on the non-central negative binomial distribution

Summary In this paper we shall record some facts and further examine certain properties of the non-central negative binomial (NNB) distribution (Laguerre series distribution of Gurland, Chen and Hernandez 1983). We consider, among others, a stochastic formulation (birth-and-death process), the series expansion of the probability distribution and the corresponding series expansion of a generalized exponential distribution (Ong/Lee 1986), and the connection of the NNB distribution with the non-central beta, gamma and non-central gamma distributions. A four-parameter version of the NNB distribution is also presented.     

The Challenge of Human Resources Development

A productive workforce depends on a country's educational system, the quality of its health care, training and retraining opportunities, its family policy, its labor policies with or without unions, and the quality of public services. On all counts, a significant portion of the U.S. workforce is in serious trouble. Numerous community cases and experience abroad teach that ideological boundaries in the United States inhibit the formation of new partnerships, coalitions, and forums essential to the development of more productive human resources