The Shift Design Problem is an important optimization problem which arises when scheduling personnel in industries that require continuous operation. Based on the forecast, required staffing levels for a set of time periods, a set of shift types that best covers the demand must be determined. A...

This paper addresses the Patient Admission Scheduling (PAS) problem. The PAS problem deals with assigning elective patients to beds, satisfying a number of soft and hard constraints. The problem can be seen as part of the functions of hospital management at an operational level. There exists a...

In this paper we consider a label-setting dynamic-programming algorithm for the Elementary Shortest Path Problem with Resource Constraints (ESPPRC). We use a pseudo resource to guarantee that labels are permanent. We observe that storing the states based on the subset of nodes visited by the...

In this paper we present a new scheduling problem and describe a shortest path based heuristic as well as a dynamic programming based exact optimization algorithm to solve it. The Selective Multi-Category Parallel-Servicing Problem (SMCPSP) arises when a set of jobs has to be scheduled on a...

We consider a class of three-player queuing games where players independently choose when to arrive at a bottleneck facility that serves only one at a time. Players are impatient for service but cannot arrive before the facility opens and they dislike time spent in queue. We derive the...

We introduce a new operator for general rationing problems in which, besides conflicting claims, individual baselines play an important role in the rationing process. The operator builds onto ideas of composition, which are not only frequent in rationing, but also in related problems such as...

We consider a cost sharing problem among agents on a line. The problem is closely related to the classic airport game, but in our model agents are characterized by their location, rather than their needed runway length. We characterize a family of cost allocation rules in which agents pay a...