![]() These operations are intended to satisfy the huge market demand and expand in market shares, including farming (i.e. Thus, the profit-makers are increasingly paying more attention on the operations of SCPF which is known as the farm-to-fork sequence. The supply chain management implies a highly effective network of business relations that serves to improve efficiency by eliminating duplicate and nonproductive work. ![]() Nowadays, the supply chain revolution is reshaping a lot of industries through reconsidering the organizations, people, activities, information, and resource flow which are involved in moving a product or service from supplier to customer as a system ( Bowersox et al., 2007). These activities are connected throughout the operations of the supply chain for perishable food (SCPF). According to the AQSIQ Statistics Report, the demand for salmon (which is a kind of popular seafood) imported to China has increased from 74 thousand tons in 2003 to 283.8 thousand tons in 2013 ( The huge demand for perishable food has stimulated the development of many related profit-making industries greatly, e.g., the cultivating, processing, and transportation of the perishable products. Millions of people are increasing their spending on fresh, delicious but perishable and expensive goods like fruits, seafood, etc. USDA Economic Research Service, Washingtonĭavid I, Mehrez A (1995) An inventory model with exogenous failures.The cost of supply chain when processor i produces product j. Manag Sci 31:870–887īuzby JC, Farah-Wells H, Hyman J (2014) The estimated amount, value, and calories of postharvest food losses at the retail and consumer levels in the United States. Probab Eng Inf Sci 15(2):189–198īuzacott JA, Shanthikumar JG (1985) Approximate queueing models of dynamic job shops. Eur J Oper Res 220(3):610–618īoxma O, Kella O, Perry D (2001) An intermittent fluid system with exponential on-times and semi-Markov input rates. PhD thesis, Vrije Universiteit Amsterdam, The Netherlandsīijvank M, Vis IF (2012) Lost-sales inventory systems with a service level criterion. Oper Res 56:1238–1246īijvank M (2009) Service inventory management: solution techniques for inventory systems without backorders. IISE Trans 52:133–150īerk E, Gürler Ü (2008) Analysis of the \((Q, r)\) inventory model for perishables with positive lead times and lost sales. Ann Oper Res 280(1–2):65–98īaron O, Economou A, Manou A (2016) The State-dependent M/G/1 queue with orbit: analysis and strategic customer behaviorīarron Y, Baron O (2020) QMCD approach for perishability models: the \((S, s)\) control policy with lead time. Oper Res Lett 46(1):88–92īarron Y (2019) A state-dependent perishability \((s, S)\) inventory model with random batch demands. Eur J Oper Res 251(2):495–508īarron Y (2018) An order-revenue inventory model with returns and sudden obsolescence. Prod Oper Manag 20(5):714–726īarron Y (2016) Clearing control policies for MAP inventory process with lost sales. Springer, New Yorkīaron O, Berman O, Perry D (2011) Shelf-space management when demand depends on the inventory level. Springer, New YorkĪxsäter S (2006) Inventory control, 2nd edn. Prod Oper Manag 28(9):2305–2322Īsmussen S (2003) Applied probability and queues, 2nd edn. We further provide intuition insight on the optimal controls and how they depend on different factors, e.g., the lead time variability, and the demand features (arrival rate, size and variability).Ībouee-Mehrizi H, Baron O, Berman O, Chen D (2018) Managing perishable inventory systems with multiple demand classes. ![]() For example, we show that approximating the lead time distribution by an exponential one only works when the optimal reorder point of the approximation is very small in other cases the usage of the exact distribution can lead to substantial cost savings (up to 14%). Numerical study provides several guidelines for the optimal control. The closed form allows us to efficiently obtain, numerically, the optimal Q and r parameters. We construct closed-form expressions for the expected total long-run average cost function. ![]() Using the queueing and Markov chain decomposition approach, we characterize the distribution of the residual lead time and derive the stationary distribution of the inventory level. We assume \(r
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