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Lot size reorder point inventory model with controllable lead time and set-up cost. (English) Zbl 1020.90001

Summary: This paper deals with the lead time and set-up cost reductions problem on the modified lot size reorder point inventory model in which the production process is imperfect. We consider that the lead time can be shortened at an extra crashing cost, which depends on the length of lead time to be reduced and the ordering lot size. The option of investing in reducing set-up cost is also included. Two commonly used investment cost functional forms, logarithmic and power, are employed for set-up cost reduction. We assume that the stochastic demand during lead time follows a normal distribution. The objective is simultaneously to optimize the lot size, reorder point, set-up cost and lead time. An algorithm of finding the optimal solution is developed, and two numerical examples are given to illustrate the results.

MSC:

90B05 Inventory, storage, reservoirs
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[1] BEN-DAYA M., Journal of the Operational Research Society 45 pp 579– (1994) · Zbl 0805.90037
[2] HALL R. W., Zero Inventories (1933)
[3] HARIGA M., European Journal of Operational Research 113 pp 42– (1999) · Zbl 0933.90005
[4] KELLER G., HE Transitions 20 pp 284– (1988)
[5] KIM K. L., Decision Science 23 pp 500– (1992)
[6] LIAO C. J., International Journal of Operations and Production Management 11 pp 72– (1991)
[7] MOON I., Computers and Operations Research 25 pp 1007– (1993) · Zbl 1042.90509
[8] OUYANG L. Y., Journal of the Operational Research Society. 50 pp 1272– (1999) · Zbl 1054.90512
[9] OUYANG L. Y., Journal of the Operational Research Society 47 pp 829– (1995) · Zbl 0856.90041
[10] PAKNEJAD M. J., International Journal of Production Research 33 pp 2767– (1995) · Zbl 0910.90128
[11] PAN C. H., The study of optimal stock strategy under changeable lead time (1999)
[12] PORTEUS E. L., Management Science 31 pp 998– (1935) · Zbl 0609.90058
[13] PORTEUS E. L., Operations Research 34 pp 137– (1986) · Zbl 0591.90043
[14] ROSENBLATT M. J., IIE Transitions 18 pp 48– (1936)
[15] SARKER B. R., International Journal of Production Economics 49 pp 237– (1997)
[16] SILVER E. A., inventory Management and Production Planning and Scheduling (1993)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.