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Steiner tree network scheduling with opportunity cost of time

Fabien Cornillier(fyp.cornillier***at***up.edu.pe)

Abstract: This paper points out the impact of opportunity cost of time (high discount rate or high rate of time preference, time-dependent profits, etc.) in designing real-world Steiner trees like electricity, gas, water, or telecommunications networks. We present the Steiner Tree Scheduling Problem which consists of finding a Steiner tree in an activity-on-arc graph that spans a set of mandatory vertices, and of scheduling each selected activity in a competition for scarce resources so as to optimize a given objective function. Project managers typically make the network design decisions and the activity scheduling decisions separately. The main contribution of this paper is in demonstrating the potential for a more efficient network planning in a context of high opportunity cost of time by making simultaneous design and scheduling decisions. Mixed integer programming formulations are also proposed, and a heuristic procedure is described.

Keywords: Steiner tree network design, Project scheduling, Resource-constrained scheduling

Category 1: Applications -- OR and Management Sciences (Scheduling )

Category 2: Network Optimization

Category 3: Applications -- Science and Engineering (Facility Planning and Design )

Citation: Working paper, Universidad del Pacifico, Lima, Peru, January 2013

Download: [PDF]

Entry Submitted: 10/20/2015
Entry Accepted: 10/20/2015
Entry Last Modified: 10/20/2015

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