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Multivariate Clearing Functions

Hubert Missbauer and Reha Uzsoy
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Hubert Missbauer: University of Innsbruck
Reha Uzsoy: North Carolina State University

Chapter Chapter 8 in Production Planning with Capacitated Resources and Congestion, 2020, pp 191-220 from Springer

Abstract: Abstract The clearing functions examined in Chap. 7 all assume that the expected output of a production resource in a planning period is a function of a single, aggregate state variable characterizing the amount of work available to the resource during the planning period; hence they were termed univariate clearing functions. In this chapter we explore several of the limitations of univariate clearing functions, and propose a number of more complex, multivariate clearing functions that seek to address these difficulties. We begin by using transient queueing models to provide an initial intuition for why additional state variables are needed. We then discuss clearing functions that explicitly attempt to represent the transient behavior of the system without assuming steady state, and then proceed to consider additional state variables related to individual products and previous periods.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-0716-0354-3_8

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DOI: 10.1007/978-1-0716-0354-3_8

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