The primary issue in this paper is to determine whether mobility restrictions or securing social interactions is most effective in countering an epidemic disease that spreads also via asymptomatic transmission. We develop an optimal control policy model wherein i) treatment capabilities are...

Using control variables such as the level of medicare programme effort and the level of inoculation programme effort, three simple mathematical models of epidemics are transformed into optimal control problems. These are multi-state problems with the state variables as numbers of infectives and...

We study an economy in which the rate of change of population depends on population policy decisions. This requires population as well as capital as state variables. By showing the algebraic relationship between the shadow price of the population and the shadow price of the per capita capital...

Cooperative advertising is an incentive offered by a manufacturer to influence retailers' promotional decisions. We study a dynamic durable goods duopoly with a manufacturer and two independent and competing retailers. The manufacturer as a Stackelberg leader announces his wholesale prices and...

The models we present in this chapter are related to two classical inventory models: The EOQ model of Harris (1913) and the dynamic lot size model of Wagner and Whitin (1958). In relation to the EOQ model, our models depart in three different ways: (1) the EOQ model assumes that the problem...

We study sourcing and pricing decisions of a firm with correlated suppliers and a price-dependent demand. With two suppliers, the insight -- cost is the order qualifier while reliability is the order winner -- derived in the literature for the case of exogenously determined price and independent...

Inventory control is among the most important topics in operations research because of large investments in inventory and their effect on the profitability of the firms. A systematic analysis of inventory problems began with the development of the classical EOQ formula of Ford W. Harris in 1913,...

Ever since the publication of Pontryagin's Maximum Principle, the number of its applications to management science problems has been steadily growing. This paper is an up-to-date survey of the applications of the deterministic maximum principle to the three functional areas of management:...

An application of the Stokes' theorem is illustrated by solving the two state problem, with inequality constraints, of Dobell and Ho concerning the optimal investment of resources. Whenever applicable, the Stokes' theorem approach seems to be elegant and parsimonious