Competitive analysis of online inventory problem with interrelated prices

This paper investigates the online inventory problem with interrelated prices in which a decision of when and how much to replenish must be made in an online fashion even without concrete knowledge of future prices. Four new online models with different price correlations are proposed in this paper, which are the linear-decrease model, the log-decrease model, the logarithmic model and the exponential model. For the first two models, the online algorithms are developed, and as the performance measure of online algorithm, the upper and lower bounds of competitive ratios of the algorithms are derived respectively. For the exponential and logarithmic models, the online algorithms are proposed by the solution of linear programming and the corresponding competitive ratios are analyzed, respectively. Additionally, the algorithm designed for the exponential model is optimal, and the algorithm for the logarithmic model is optimal only under some certain conditions. Moreover, some numerical examples illustrate that the algorithms based on the dprice-conservative strategy are more suitable when the purchase price fluctuates relatively flat

Annual relapse hazard rate for 883 ALN negative breast cancer patients by postoperative fever.

<p>Annual relapse hazard rate for 883 ALN negative breast cancer patients by postoperative fever.</p

Kaplan–Meier curves for RFS in 883 ALN negative breast cancer patients by HR/ERBB2(A) and tumor size (B).

<p>Kaplan–Meier curves for RFS in 883 ALN negative breast cancer patients by HR/ERBB2(A) and tumor size (B).</p

Forest plot of meta-analysis on the disease-free survival in HER2 positive and negative patients for the addition of capecitabine to standard treatment.

<p>Forest plot of meta-analysis on the disease-free survival in HER2 positive and negative patients for the addition of capecitabine to standard treatment.</p

Forest plot of meta-analysis on the disease-free survival in hormone receptor positive and negative patients for the addition of capecitabine to standard treatment.

<p>Forest plot of meta-analysis on the disease-free survival in hormone receptor positive and negative patients for the addition of capecitabine to standard treatment.</p

Forest plot of meta-analysis on the distant recurrence for the addition of capecitabine to standard treatment.

<p>Forest plot of meta-analysis on the distant recurrence for the addition of capecitabine to standard treatment.</p

Forest plot of meta-analysis on the disease-free survival in triple negative patients for the addition of capecitabine to standard treatment.

<p>Forest plot of meta-analysis on the disease-free survival in triple negative patients for the addition of capecitabine to standard treatment.</p

Forest plot of meta-analysis on the disease-free survival for the addition of capecitabine to standard treatment.

<p>Forest plot of meta-analysis on the disease-free survival for the addition of capecitabine to standard treatment.</p

Additional file 10: Table S7. of Genome-wide association analysis and QTL mapping reveal the genetic control of cadmium accumulation in maize leaf

Primers of qRT-PCR assay used for quantifying expression levels of candidate genes within a QTL interval. (XLS 26 kb

Le theatre de Mr Quinault. Tome 3 / , contenant ses tragedies, comedies et opera. Derniere edition, augmentée de sa vie, d'une dissertation sur ses ouvrages et de l'origine de l'opera

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