Economic design of (X)over-bar charts with variable parameters: the Markov chain approach

This paper presents an economic design of (X) over bar control charts with variable sample sizes, variable sampling intervals, and variable control limits. The sample size n, the sampling interval h, and the control limit coefficient k vary between minimum and maximum values, tightening or relaxing the control. The control is relaxed when an (X) over bar value falls close to the target and is tightened when an (X) over bar value falls far from the target. A cost model is constructed that involves the cost of false alarms, the cost of finding and eliminating the assignable cause, the cost associated with production in an out-of-control state, and the cost of sampling and testing. The assumption of an exponential distribution to describe the length of time the process remains in control allows the application of the Markov chain approach for developing the cost function. A comprehensive study is performed to examine the economic advantages of varying the (X) over bar chart parameters.

MORPHO-PHYSIOLOGICAL INDICES AND ECONOMIC PRODUCTIVITY OF JAMBU CULTIVARS INFLUENCED BY THE ORGANIC AND MINERAL FERTILIZERS

The jambu belongs to the family Asteraceae, tropical crop, nowadays, this plant has been considered as a promising vegetable crop, because to its pharmacological properties. Despite this novelty, the vegetable remains invisible in the statistics of production and market in the state of Para, Brazil. This research was carried out with the aim of comparing the economic productivity and phenological development by the morpho-physiological growth indexes of two cultivars of jambu organic manure and mineral fertilizers. The experiment was carried out at the Sao Manuel Experimental Farm (Sao Manuel-SP), which belongs to the Faculdade de Ciencias Agronomicas - UNESP, campus Botucatu. The experimental design was a factorial randomized blocks (2 x 2) with two fertilization (organic and mineral) and two cultivars (Jambuarana and Nazareth), with six replications, two fertilization (organic and mineral) and two cultivars (Jambuarana and Nazareth). The following characteristics were evaluated: Plant height (cm), Leaf area (cm(2)), Fresh mass (g), Dry mass (g), Leaf area index (LAI), Leaf area ratio (LAR), Specific leaf Area (SLA), Leaf Weight Ratio (LWR), Amount of water in the plant (QAPA) (g per plant set), Leaf specific weight (LSW) (g cm(-2) per plant set) and Economic productivity. All data were statistically analyzed by analysis of variance and the Tukey test (1%) for mean comparison, with the software SISVAR. In the conditions of this experiment was carried out, it was possible to verify that the cultivar Jamburana had not only a good agronomic development and economic productivity under organic fertilization but also the best morpho-physiological indexes, showing that this kind of fertilization increases the agronomic effectiveness of this cultivar.