This paper deals with single-machine scheduling problems with decreasing linear deterioration, i.e., jobs whose processing times are a decreasing function of their starting times. In addition, the jobs are related by parallel chains and a series-parallel graph precedence constraints, respectively. I
✦ LIBER ✦
Scheduling linearly shortening jobs under precedence constraints
✍ Scribed by Stanisław Gawiejnowicz; Tsung-Chyan Lai; Ming-Huang Chiang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 232 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0307-904X
No coin nor oath required. For personal study only.
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In this paper, hybrid states are introduced to study DEDS. On the basis of the description of the hybrid states and under certain assumptions, the system becomes a timehomogeneous hybrid-state Markovian process. The semigroup theory is used to study the process. A partial differential equation is ob