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We show that under some assumptions, there exist optimal ordering and production policies. We also provide some numerical examples to investigate the effect of these coordination mechanisms on the expected costs and the optimal policies. The computational experiments reveal that (i) the production quantity in decentralized case is higher than that in the centralized case, (ii) the centralized approach strategy results in the lower joint total cost as compared with independent decision approaches, and (iii)\u00a0the shortage penalty contract has a beneficial effect on the total cost to the entire supply chain in decentralized system.<\/jats:p>","DOI":"10.1142\/s0217595918500409","type":"journal-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T01:58:00Z","timestamp":1537149480000},"page":"1850040","source":"Crossref","is-referenced-by-count":5,"title":["A Stochastic Inventory Model for a Random Yield Supply Chain with Wholesale-Price and Shortage Penalty Contracts"],"prefix":"10.1142","volume":"35","author":[{"given":"Kimitoshi","family":"Sato","sequence":"first","affiliation":[{"name":"Faculty of Engineering, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama, Kanagawa 221-8686, 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