2005
DOI: 10.1287/opre.1040.0165
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A Production-Inventory System with Markovian Capacity and Outsourcing Option

Abstract: We study the optimal production-inventory-outsourcing policy for a firm with Markovian in-house production capacity that faces independent stochastic demand and has the option to outsource. We find very simple optimal policy forms under fairly reasonable assumptions. In addition, when the capacity Markov process is stochastically monotone, the policy parameters decrease in the firm's current capacity level under additional assumptions. All these results extend to the infinite-horizon and undiscounted-cost case… Show more

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Cited by 72 publications
(44 citation statements)
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“…The differences are the existence of several subcontracting opportunities with different cost and capacity structures and the demand being dependent on the lead time distribution during out-of-stock periods. Yang et al (2005) deal with a production/inventory system under uncertain capacity levels and the existence of outsourcing opportunities. In their model, there is no fixed cost of production but a fixed cost is associated with outsourcing.…”
Section: Related Literaturementioning
confidence: 99%
“…The differences are the existence of several subcontracting opportunities with different cost and capacity structures and the demand being dependent on the lead time distribution during out-of-stock periods. Yang et al (2005) deal with a production/inventory system under uncertain capacity levels and the existence of outsourcing opportunities. In their model, there is no fixed cost of production but a fixed cost is associated with outsourcing.…”
Section: Related Literaturementioning
confidence: 99%
“…Because g 0 I 1 I 2 = 0, we can use a sample-path argument (a more elaborate reasoning process may be found in the similar proof of Theorem 6 in Yang et al 2005) to arrive at…”
Section: Extension To the Infinite-horizon Casementioning
confidence: 99%
“…They provided polynomial time algorithms for a large variety of cost functions. [23] dealt with a production/inventory system under uncertain capacity levels and the existence of outsourcing opportunities. In their model, outsourcing was associated with a fixed cost, whereas production was not.…”
Section: Literature Reviewmentioning
confidence: 99%