A stochastic inventory problem with fuzzy shortage cost |
| |
| Institution: | 2. Department of Communication Sciences and Disorders, University of Iowa, 250 Hawkins Drive, Iowa City, Iowa 52242;1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;2. School of Data and Computer Science, Sun Yat-Sen University, Guangzhou, Guangdong 510006, China;3. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;1. Operations Research & Logistics Group, Wageningen University, Wageningen PO Box 8130, 6700 EW, the Netherlands;2. Centre for Management Studies, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, Lisboa 1049-101, Portugal |
| |
| Abstract: | Up to now, many inventory models have been considered in the literature. Some assume stochastic demands and others consider the deterministic case. Though they include a shortage cost due to lost sales, it is usually assumed to be known concretely and a priori. This paper introduces fuzziness of shortage cost explicitly into the classical newsboy problem. That is, we investigate the so-called fuzzy newsboy problem where its shortage cost is vague and given by an L shape fuzzy number. Then the total expected profit function also becomes a fuzzy number. Finally, we find an optimal ordering quantity realizing the fuzzy max order of the profit function (fuzzy min order considering the profit function) and compare it with the optimal ordering quantity of the non-fuzzy newsboy problem. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
