期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 272, 期 2, 页码 539-548出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2018.06.053
关键词
Inventory; Procurement strategy; All-units discounts; Quasi-convexity; Q-jump single-crossing
资金
- NSFC (National Natural Science Foundation of China) [71571158, 71320107004]
- Research Grants Council of the Hong Kong Special Administrative Region, China [GRF 11506015, T32-102/14-N, T32-101/15-R]
- CityU [7005014]
- Liberal Arts in Zhejiang University
Despite the prevalence of all-units discounts in procurement contracts, these discounts pose a technical challenge to analyze procurement strategies due to neither concave nor convex ordering costs. In this paper, we consider the optimal procurement strategies with ail-units discounts under the lost-sales setting, By assuming log-concave demands, we find that the optimal procurement strategies have a generalized Q-jump (s, S) structure by introducing a new notion of Q-jump single-crossing. In particular, a sufficient condition is provided for degenerating the optimal procurement strategies from a generalized Q-jump (s, S) structure into a Q-jump (s, S) structure, which is definitely optimal for the single-period problem. Extensive numerical results suggest that the Q-jump (s, S) policy as a heuristic performs considerably well when its optimality sufficient condition is violated. Our results can be extended to systems with multi-break all-units discounts, and systems with all-units discounts on batch ordering. (C) 2018 Elsevier B.V. All rights reserved.
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