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| A Queuing-inventory System with Two Classes Demand and Subject to Selected Service |
| Hong Chen, Zhongfang Zhou, Mingwu Liu |
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Abstract This paper considers a Markovian queuing-inventory system with two
classes of customers and subjected to selected service. When the
on-hand inventory drops to the safety level, arrival ordinary
customers receive service at probability. Firstly, the inventory
level state transitions equation is set up. The steady-state
probability distribution and the other performance measures are
derived. Next, a long-run average inventory cost function is
established. An efficient algorithm for global optimum solutions is
developed based on a pseudo-convex inventory cost function. Finally,
the optimal inventory control polices and the sensitivities of the
system parameters are investigated through the numerical
experiments.
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