Research concerning project planning under uncertainty has primarily focused on the stochastic resource-constrained project scheduling problem (stochastic RCPSP), an extension of the basic RCPSP, in which the assumption of deterministic activity durations is dropped. In this paper, we introduce a new variant of the RCPSP for which the uncertainty is modeled by means of resource availabilities t...

Project scheduling is the part of project management that deals with determining when intime to start (and finish) which activities and with the allocation of scarce resources to theproject activities. In practice, virtually all project managers are confronted with resourcescarceness. In such cases, the Resource-Constrained Project Scheduling Problem (RCPSP)arises. This optimization problem has...

Irrigation water management is crucial for agricultural production and livelihood security in many regions and countries throughout the world. Over the past decades, controversial and conflictladen water-allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural conditions and shrinking wa...

Cardiothoracic surgery requires many expensive resources. This paper examines the balance between operating theatres and beds in a specialist facility providing elective heart and lung surgery. Without both operating theatre time and an Intensive Care bed a patient's surgery has to be postponed. While admissions can be managed, there are significant stochastic features, notably the cancellation...

We formulate a two-stage stochastic integer program to determine an optimal schedule for jobs requiring multiple classes of resources under uncertain processing times, due dates, resource consumption and availabilities. We allow temporary resource capacity expansion for a penalty. Potential applications of this model include team scheduling problems that arise in service industries such as engi...

This paper gives a theory and method that specifies how the optimal solution of a linear program changes when the right hand side of the original problem is changed and when the original optimal solution exhibits primal degeneracy. The method determines an optimal change vector as the resource availabilities change, and it calculates a range for which this vector is valid. Resource availabiliti...

We treat the problem of optimally allocating resources of limited availability to activities in a project when the objective function is composed of the cost of the resources utilization and a penalty for tardiness. Our model derives from consideration of activities’ work content rather than duration, as is traditionally done in other studies. In this report we assume that the work content is k...

Constraint modeling is a necessary step in construction planning. The basic CPM approach provides a simple and practical means for resolving time-related precedence constraints between activities. However, most CPM-based tools do not support dealing with the constraints regarding resource and information availabilities at the productionlevel planning phase. When these constraints are concealed ...