This paper continues the analysis of a special uncapacitated single item lot sizing problem where a minimum order quantity restriction, instead of the setup cost, guarantees a certain level of production lots. A detailed analysis of the model and an investigation of the particularities of the...

This paper explores a single-item capacitated lot sizing problem with minimum order quantity, which plays the role of minor set-up cost. We work out the necessary and suffcient solvability conditions and apply the general dynamic programming technique to develop an O(T³) exact algorithm that is...

Design reliability at the beginning of a product development program is typically low and development costs can account for a large proportion of total product cost. We consider how to conduct development programs (series of tests and redesigns) for one-shot systems (which are destroyed at first...

The paper studies a repeated contest when contestants are uncertain about their true abilities. A favourable belief about one’s own ability (confidence) stimulates effort and increases the likelihood of success. Success, in turn, reinforces favourable beliefs. We consider a specific example in...

This article describes how as one of the hot parallel processors, the general-purpose graphics processing unit (GPU) has been widely adopted to accelerate various time-consuming algorithms. Dynamic programming (DP) optimization is a popular method to solve a particular class of complex problems....

Using a model where households can save in either a safe asset or in an illiquid, tax-advantaged pension, we assess the extent to which those who recently reached the state pension age in the UK have saved optimally for retirement. The policy environment specified closely matches that prevailing...

This paper proposes a dynamic life cycle model of health risks, employment, early retirement, and wealth accumulation in order to analyze the health-related risks of consumption and old age poverty. In particular, the model includes a health process, the interaction between health and employment...

One of the basic assumptions of the classical dynamic lot-sizing model is that theaggregate demand of a given period must be satisfied in that period. Under thisassumption, if backlogging is not allowed then the demand of a given period cannotbe delivered earlier or later than the period. If...

We consider a model for a serial supply chain in which production, inventory, and transportation decisions are integrated, in the presence of production capacities and for different transportation cost functions. The model we study is a generalization of the traditional single-item economic...

A version of the classical secretary problem is studied, in which one is interested in selecting one of the b best out of a group of n differently ranked persons who are presented one by one in a random order. It is assumed that b is bigger than or equal to 1 is a preassigned number. It is...