Abstract
There is a natural extension of the heap model with a finite set of resources (cf. [2],[3]) to a heap model with a continuum of resources. In this paper we investigate the existence of solutions of the eigenvalue problem in infinite dimensions. In case of degenerate kernels this problem is reduced to a finite dimensional system. We show that this class of kernels is large enough to embed the heap model.
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van Egmond, R.J. (2000). Heaps of Pieces with a Continuum of Resources. In: Boel, R., Stremersch, G. (eds) Discrete Event Systems. The Springer International Series in Engineering and Computer Science, vol 569. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4493-7_6
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DOI: https://doi.org/10.1007/978-1-4615-4493-7_6
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