Interpretation, topography and chronology of the greco-catholic medals of the XVII–XVIII centuries (according to archaeological research and analysis of private collections)

The article provides an analysis and interpretation of 55 Greek Catholic medals of the 17th – 18th centuries. The search for information about Greek Catholic medals was carried out through the study of scientific literature, search in catalogs of private collections, monitoring of specialized sites dedicated to the subjects of Christian worship and Internet forums of “black” diggers, as well as Internet auctions. During archaeological research, only 4 Greek Catholic medals were identified (Belarus, Lithuania, Poland, Italy). The overwhelming majority of the medals under consideration (51 copies) were discovered during the illegal work of “black archaeologists” in Belarus, Ukraine, Poland and Spain. On the front side, the Greek Catholic medals contain images of the Mother of God Zhirovitskaya, Mother of God of Pochaev, Mother of God of Kholmskaya and Mother of God of Borunskaya. On the reverse side there are images of St. Andrew (apostle), St. Basil the Great, St. Joseph with the Christ Child, St. Josaphat Kuntsevich, St. Anufriy the Great. Most of the medals are labeled in Latin. The inscriptions on the medals with the image of Our Lady of Zhirovitskaya (subtype 3 (no. 5–26)) are made from a set of letters of the Greek, Latin and Church Slavonic alphabets.

Optimal Inventory Control and Allocation for Sequential Internet Auctions

We study an optimal inventory control and allocation for a seller who uses sequential Internet auctions to sell replenishment products. This problem is faced not only by retailers/distributors in the retail industry but also by manufacturers who use sequential Internet auctions to sell products that can be replenished. We consider the total expected discounted profit criterion in a finite horizon and both the discounted and average profit criteria over an infinite horizon, and show the optimality of the so-called base-stock-allocate-all (BSAA) policies. Then, we simplify the problem of computing the optimal policies and profits for either the discounted or average profit criterion in an infinite horizon to an optimization problem with only one integer decision variable. We show these results for the list price case, and also for the case where the reserve price is a decision variable. Finally, numerical results are given, where the effects of several model parameters on the optimal policies and profits are numerically analyzed.