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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Ming-Zheng Wang Wen-Li Li |
| Copyright Year | 2007 |
| Description | Author affiliation: Dalian Univ. of Technol., Dalian (Ming-Zheng Wang; Wen-Li Li) |
| Abstract | In this paper, we first give the definition for convexity of real-valued function defined on the integer lattice and obtain a sufficient condition to convexity of real-value function defined on the integer lattice and its some properties. Furthermore, by using the results obtained in this paper, we directly prove, under the condition that demands are discrete, that the long-run average cost of outstanding backorders and the long-run average cost of inventories of the (r, Q) inventory system is a P-jointly-convex in (r, Q), which answers the long-standing conjecture about convexity of two often-used inventory service-level measures under the case that demands are discrete. |
| Starting Page | 417 |
| Ending Page | 417 |
| File Size | 135273 |
| Page Count | 1 |
| File Format | |
| ISBN | 0769528821 |
| DOI | 10.1109/ICICIC.2007.414 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2007-09-05 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Q measurement Sufficient conditions Technology management Lattices Stochastic processes Inventory management Cost function Inventory control Random variables Steady-state |
| Content Type | Text |
| Resource Type | Article |
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