“…This heuristic has been developed in a joint research project with our industry partner Kollmorgen Steuerungstechnik and is the basis for the algorithm currently used in their elevator controls. A preliminary version of it was presented at Operations Research 2007 [HT08].…”
Section: Group Control Of Elevator Systemsmentioning
confidence: 99%
“…In this section we describe an elevator control algorithm for destination call systems designed for Kollmorgen Steuerungstechnik, our partner from industry [HT08]. A variant 2.5.…”
Section: A Cost-based Best-insertion Heuristicmentioning
confidence: 99%
“…However, the original algorithm was designed for immediate assignment systems whereas this version is based on the generic request model from Section 2.4 and thus also suitable for delayed assignment systems. Hence the semantics for the immediate assignment are slightly different to the original algorithm described in [HT08].…”
Section: A Cost-based Best-insertion Heuristicmentioning
“…This heuristic has been developed in a joint research project with our industry partner Kollmorgen Steuerungstechnik and is the basis for the algorithm currently used in their elevator controls. A preliminary version of it was presented at Operations Research 2007 [HT08].…”
Section: Group Control Of Elevator Systemsmentioning
confidence: 99%
“…In this section we describe an elevator control algorithm for destination call systems designed for Kollmorgen Steuerungstechnik, our partner from industry [HT08]. A variant 2.5.…”
Section: A Cost-based Best-insertion Heuristicmentioning
confidence: 99%
“…However, the original algorithm was designed for immediate assignment systems whereas this version is based on the generic request model from Section 2.4 and thus also suitable for delayed assignment systems. Hence the semantics for the immediate assignment are slightly different to the original algorithm described in [HT08].…”
Section: A Cost-based Best-insertion Heuristicmentioning
“…Application to elevator control Before starting with the technical part of the paper, we shortly explain an interesting connection between the Online Bin Coloring problem and the relative performance of conventional elevator control and elevator control based on destination hall calls [10]. In conventional elevator control systems, a passenger specifies the desired travel direction and, later in the elevator car, her destination floor.…”
Section: Problem Definition and An Application To Elevator Controlmentioning
This paper proposes a new method for probabilistic analysis of online algorithms that is based on the notion of stochastic dominance. We develop the method for the Online Bin Coloring problem introduced in [15]. Using methods for the stochastic comparison of Markov chains we establish the strong result that the performance of the online algorithm GreedyFit is stochastically dominated by the performance of the algorithm OneBin for any number of items processed. This result gives a more realistic picture than competitive analysis and explains the behavior observed in simulations.
“…The goal is to find a policy to control the elevator system in such a way that the average or the maximal waiting time is minimized in expectation. This is the seemingly easiest of the many elevator control problems that have been studied the literature [28,6,16,23,21,22].…”
We computationally assess policies for the elevator control problem by a new column-generation approach for the linear programming method for discounted infinite-horizon Markov decision problems. By analyzing the optimality of given actions in given states, we were able to provably improve the well-known nearestneighbor policy. Moreover, with the method we could identify an optimal parking policy. This approach can be used to detect and resolve weaknesses in particular policies for Markov decision problems.
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