A periodic review \((R,T)\) model with investment to reduce lost sales rate. (English) Zbl 1154.90303
Summary: D. C. Montgomery, M. S. Bazaraa and A. K. Keswani [Nav. Res. Logist. 20, 255–263 (1973; Zbl 0262.90020)] proposed a \((R, T)\) type of periodic review inventory model in which the lost sales rate is given. The purpose of this paper is to investigate the impact in this heuristic periodic review inventory model with increasing investment to reduce the lost sales rate, where the review period and lost sales rate are decision variables. In this paper, the protection interval demand is assumed to be normal distributed, and two commonly used investment cost functional forms, logarithmic and power, are employed for lost sales rate reduction. A procedure of finding the optimal investment decision is developed, and three numerical examples are given to illustrate the results.
MSC:
| 90B05 | Inventory, storage, reservoirs |
Citations:
Zbl 0262.90020References:
| [1] | Montgomery D. C., Naval Research Logistics 20 pp 255– (1973) · Zbl 0262.90020 · doi:10.1002/nav.3800200205 |
| [2] | Ouyang L. Y., Journal of the Operational Research Society 47 pp 829– (1996) · Zbl 0856.90041 · doi:10.1057/jors.1996.102 |
| [3] | Moon I., Computers and Operations Research 25 pp 1007– (1998) · Zbl 1042.90509 · doi:10.1016/S0305-0548(97)00103-2 |
| [4] | Hariga H., European Journal of Operational Research 113 pp 42– (1999) · Zbl 0933.90005 · doi:10.1016/S0377-2217(97)00441-4 |
| [5] | Ouyang L. Y., International Journal of Information and Management Sciences 12 pp 1– (2001) |
| [6] | Hall R. W., Zero Inventory (1983) |
| [7] | Porteus E. L., Management Sciences 31 pp 998– (1985) · Zbl 0609.90058 · doi:10.1287/mnsc.31.8.998 |
| [8] | Nasri F., International Journal of Production Research 28 pp 199– (1990) · Zbl 0686.90019 · doi:10.1080/00207549008942693 |
| [9] | Kim S. L., Decision Sciences 23 pp 500– (1992) · doi:10.1111/j.1540-5915.1992.tb00402.x |
| [10] | Paknejad M. J., International Journal of Production Research 33 pp 2767– (1995) · Zbl 0910.90128 · doi:10.1080/00207549508904844 |
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