This paper analyzes the tradeoff between (demand) substitution costs and (production) changeover costs in a discrete-time production-inventory setting using a two-product dynamic lot-sizing model with changeover, inventory carrying, and substitution costs. We first show that the problem is...

The problem of cash management, in its simplest form, is to formulate decision rules which control the level of a firm's cash balance to meet its demands for cash at minimum total discounted cost. Control is achieved by transacting securities for cash. The cost of control is the commission...

Krouse and Lee (1973) have formulated an optimal financing problem of a firm in the dynamic setting of optimal control theory. Specifically, the problem is to find a financing mix of retained earnings and external equity over time in a way that maximizes the present value of the entire future...

Cooperative (co-op) advertising is an important instrument for aligning manufacturer and retailer decisions in supply chains. In this, the manufacturer announces a co-op advertising policy, i.e., a participation rate that specifies the percentage of the retailer's advertising expenditure that it...

We consider optimal consumption and portfolio investment problems of an investor who is interested in maximizing his utilities from consumption and terminal wealth subject to a random inflation in the consumption basket price over time. We consider two cases: (i) when the investor observes the...

We derive a sharp upper bound on the minimal forecast horizon in the discounted dynamic lot size model with constant initial demand. This bound is given by m(m 1), where m is the EOQ's worth, i.e., the number of periods for which the total demand equals Economic Order Quantity. Our results do...

The problem of optimal consumption and investment is concerned with the decisions of a single agent endowed with some initial wealth who seeks to maximize total expected discounted utility of consumption. The decisions are the rate of consumption and the allocation of their wealth directed to...

A heuristic procedure is developed for minimizing makespan in flow-shop scheduling problems. In comparison with current algorithms, our algorithm seems to result in an improved makespan with a small additional computational effort. An algorithm is also developed to minimize the required number...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

We consider a single machine, multiproduct manufacturing system, which can operate at finitely many quality levels. The quality of the machine deteriorates according to a continuous-time Markov process and the only way to improve the quality is by replacing the machine by a new one. In this...